Mplus VERSION 5.2
MUTHEN & MUTHEN
12/02/2008   9:50 AM

INPUT INSTRUCTIONS

  Title:  app18

      GS6cSAND.inp

      - internal and external controls
      - adding x's

      - 3-class linear growth grade 1-2 (note females are included)
      - different residual and intercept variance in the low/flat class 3

      - adding u information, grades 3-7

      - Sandwich estimator

      - 6-class model:

              NLTS    LTS
      H       1       2
      M       3       4
      H       5       6

      - deleting small class 2 that gave rise to c#2 on intgroup


  Data:
      File is ggmmfull.dat;

  Variable:
      Names are id u1-u7 y1-y9
          g1fc intgroup male white lunch cavlunch cavtoc1f t1 t2;

  !intgroup = (1 = STD/GBG, 3 = STD/STD, 4 = GBG/GBG)
  !u1-u7 = school removal indicator for grades 1-7
  !lunch = {0 = self-paid, 1 = (partially) free}
  !y1-y9 = TOCA-R score for school terms 1f,...,7s
  !cavtoca = 1st grade fall classroom avg. TOCA-R (excluding case)
  !cavlunch = 1st grade fall classroom % lunch (partially) free (excluding case)
  !male = {0 = female, 1 = male}
  !white = {0 = non-white, 1 = white}
  !g1fc = first grade fall classroom cluster (1-24)

      missing = all (999);

      useobs = intgroup ne 4;

      usevar = u3-u7 y1-y4
               intgroup male white lunch cavlunch cavtoc1f;

      Cluster = g1fc;

      Categorical are u3-u7;

      Missing are all (999);

      Classes = c(5);

  Define:
      if(intgroup eq 1)then intgroup = 0;
      if(intgroup eq 3)then intgroup = 1;

  Analysis:

      Type = Mixture Missing Complex;

      ! Removing the CLUSTER= option in VARIABLE and the COMPLEX
      ! setting above will produce the same parameter estimates but
      ! different standard errors.

  Model:

      %overall%

      i by y1-y4@1;
      s by y1@0 y2@1 y3@2 y4@3;

      [y1-y4@0];

      [i* s*];

      f by u3-u7@1;

      i s on intgroup male white lunch cavlunch cavtoc1f;

      f on intgroup male white lunch cavlunch cavtoc1f;

      c#1 on intgroup male white lunch cavlunch cavtoc1f;
      c#2 on intgroup male white lunch cavlunch cavtoc1f;
      c#3 on intgroup male white lunch cavlunch cavtoc1f;
      c#4 on intgroup male white lunch cavlunch cavtoc1f;
   !   c#5 on intgroup male white lunch cavlunch cavtoc1f;


      %c#1% !Class 1: High, NLTS

      [i*3.9] (6);
      [s*.17] (7);

      [f*2.4] (8);

      [u3$1*3] (1);
      [u4$1*3] (2);
      [u5$1*2] (3);
      [u6$1*2] (4);
      [u7$1*1] (5);


   !   %c#2% !Class 2: High, LTS

   !   [i*3.9] (6);
   !   [s*.17] (7);

   !   [f@0];

   !   [u3$1-u7$1@10];

   !   f on intgroup-cavtoc1f@0;


      %c#2% !Class 3: M, NLTS

      [i*2.1] (9);
      [s*.35] (10);

      [f*.8] (11);

      [u3$1*3] (1);
      [u4$1*3] (2);
      [u5$1*2] (3);
      [u6$1*2] (4);
      [u7$1*1] (5);


      %c#3% !Class 4: M, LTS

      [i*2.1] (9);
      [s*.35] (10);

      [f@0];

      [u3$1-u7$1@10];

      f on intgroup-cavtoc1f@0;


      %c#4% !Class 5: L, NLTS

      [i*1.3] (12);
      [s*.28] (13);

      [f@0];

      [u3$1*3] (1);
      [u4$1*3] (2);
      [u5$1*2] (3);
      [u6$1*2] (4);
      [u7$1*1] (5);

      i (14)
      s (15)
      s with i (16);

      y1 (17)
      y2 (18)
      y3 (19)
      y4 (20);


      %c#5% !Class 6: L, LTS

      [i*1.3] (12);
      [s*.28] (13);

      [f@0];

      [u3$1-u7$1@10];

      f on intgroup-cavtoc1f@0;

      i (14)
      s (15)
      s with i (16);

      y1 (17)
      y2 (18)
      y3 (19)
      y4 (20);

  Output:
      patterns standardized residual tech1 tech8;



*** WARNING in ANALYSIS command
  Starting with Version 5, TYPE=MISSING is the default for all analyses.
  To obtain listwise deletion, use LISTWISE=ON in the DATA command.
*** WARNING in VARIABLE command
  When a subpopulation is analyzed with TYPE=COMPLEX, standard errors
  may be incorrect.  Use the SUBPOPULATION option instead of the
  USEOBSERVATIONS option to obtain correct standard errors.
   2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



app18

GS6cSAND.inp

- internal and external controls
- adding x's

- 3-class linear growth grade 1-2 (note females are included)
- different residual and intercept variance in the low/flat class 3

- adding u information, grades 3-7

- Sandwich estimator

- 6-class model:

NLTS    LTS
H       1       2
M       3       4
H       5       6

- deleting small class 2 that gave rise to c#2 on intgroup

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         403

Number of dependent variables                                    9
Number of independent variables                                  6
Number of continuous latent variables                            3
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

  Binary and ordered categorical (ordinal)
   U3          U4          U5          U6          U7

Observed independent variables
   INTGROUP    MALE        WHITE       LUNCH       CAVLUNCH    CAVTOC1F

Continuous latent variables
   I           S           F

Categorical latent variables
   C

Variables with special functions

  Cluster variable      G1FC

Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         10
  Number of final stage optimizations                            2
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0
Link                                                         LOGIT

Input data file(s)
  ggmmfull.dat
Input data format  FREE


SUMMARY OF DATA

     Number of missing data patterns            32
     Number of y missing data patterns           8
     Number of u missing data patterns           6
     Number of clusters          16



SUMMARY OF MISSING DATA PATTERNS


     MISSING DATA PATTERNS (x = not missing)

           1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20
 U3        x  x  x  x  x     x  x  x  x  x  x  x     x  x  x  x  x  x
 U4        x  x  x  x        x  x  x     x  x  x     x  x     x  x  x
 U5        x  x  x           x  x  x     x  x        x        x  x  x
 U6        x  x              x  x        x           x        x  x
 U7           x                 x        x           x           x
 Y1        x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 Y2        x  x  x  x  x  x              x  x  x  x           x  x  x
 Y3        x  x  x  x  x  x  x  x  x  x              x  x  x  x  x  x
 Y4        x  x  x  x  x  x  x  x  x  x
 INTGROUP  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 MALE      x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 WHITE     x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 LUNCH     x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 CAVLUNCH  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 CAVTOC1F  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x

          21 22 23 24 25 26 27 28 29 30 31 32
 U3           x  x  x  x     x  x     x  x  x
 U4           x  x  x        x  x     x  x
 U5           x  x           x  x     x  x
 U6           x  x           x        x  x
 U7              x           x           x
 Y1        x  x  x  x  x  x  x  x  x  x  x  x
 Y2        x                          x  x  x
 Y3        x
 Y4                          x  x  x  x  x  x
 INTGROUP  x  x  x  x  x  x  x  x  x  x  x  x
 MALE      x  x  x  x  x  x  x  x  x  x  x  x
 WHITE     x  x  x  x  x  x  x  x  x  x  x  x
 LUNCH     x  x  x  x  x  x  x  x  x  x  x  x
 CAVLUNCH  x  x  x  x  x  x  x  x  x  x  x  x
 CAVTOC1F  x  x  x  x  x  x  x  x  x  x  x  x


     MISSING DATA PATTERN FREQUENCIES

    Pattern   Frequency     Pattern   Frequency     Pattern   Frequency
          1          13          12           2          23          33
          2         185          13           3          24           1
          3           8          14           1          25           1
          4           4          15           4          26           1
          5           4          16           1          27           3
          6           6          17           1          28           2
          7           1          18           1          29           1
          8          23          19          11          30           2
          9           2          20           1          31          11
         10           1          21           1          32           1
         11          68          22           6


     MISSING DATA PATTERNS FOR U (x = not missing)

           1  2  3  4  5  6
 U3        x  x  x  x  x
 U4        x  x  x  x
 U5        x  x  x
 U6        x  x
 U7           x


     MISSING DATA PATTERN FREQUENCIES FOR U

    Pattern   Frequency     Pattern   Frequency     Pattern   Frequency
          1          23           3          15           5           8
          2         338           4           9           6          10


     MISSING DATA PATTERNS FOR Y (x = not missing)

           1  2  3  4  5  6  7  8
 Y1        x  x  x  x  x  x  x  x
 Y2        x     x     x        x
 Y3        x  x     x  x
 Y4        x  x              x  x
 INTGROUP  x  x  x  x  x  x  x  x
 MALE      x  x  x  x  x  x  x  x
 WHITE     x  x  x  x  x  x  x  x
 LUNCH     x  x  x  x  x  x  x  x
 CAVLUNCH  x  x  x  x  x  x  x  x
 CAVTOC1F  x  x  x  x  x  x  x  x


     MISSING DATA PATTERN FREQUENCIES FOR Y

    Pattern   Frequency     Pattern   Frequency     Pattern   Frequency
          1         220           4           6           7           6
          2          27           5          14           8          14
          3          74           6          42


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              U3            U4            U5            U6            U7
              ________      ________      ________      ________      ________
 U3             0.975
 U4             0.955         0.955
 U5             0.933         0.933         0.933
 U6             0.896         0.896         0.896         0.896
 U7             0.839         0.839         0.839         0.839         0.839
 Y1             0.975         0.955         0.933         0.896         0.839
 Y2             0.779         0.767         0.749         0.722         0.682
 Y3             0.645         0.630         0.618         0.591         0.553
 Y4             0.645         0.630         0.620         0.591         0.551
 INTGROUP       0.975         0.955         0.933         0.896         0.839
 MALE           0.975         0.955         0.933         0.896         0.839
 WHITE          0.975         0.955         0.933         0.896         0.839
 LUNCH          0.975         0.955         0.933         0.896         0.839
 CAVLUNCH       0.975         0.955         0.933         0.896         0.839
 CAVTOC1F       0.975         0.955         0.933         0.896         0.839


           Covariance Coverage
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.799         0.799
 Y3             0.663         0.581         0.663
 Y4             0.663         0.581         0.613         0.663
 INTGROUP       1.000         0.799         0.663         0.663         1.000
 MALE           1.000         0.799         0.663         0.663         1.000
 WHITE          1.000         0.799         0.663         0.663         1.000
 LUNCH          1.000         0.799         0.663         0.663         1.000
 CAVLUNCH       1.000         0.799         0.663         0.663         1.000
 CAVTOC1F       1.000         0.799         0.663         0.663         1.000


           Covariance Coverage
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           1.000
 WHITE          1.000         1.000
 LUNCH          1.000         1.000         1.000
 CAVLUNCH       1.000         1.000         1.000         1.000
 CAVTOC1F       1.000         1.000         1.000         1.000         1.000


     PROPORTION OF DATA PRESENT FOR U


           Covariance Coverage
              U3            U4            U5            U6            U7
              ________      ________      ________      ________      ________
 U3             0.975
 U4             0.955         0.955
 U5             0.933         0.933         0.933
 U6             0.896         0.896         0.896         0.896
 U7             0.839         0.839         0.839         0.839         0.839


     PROPORTION OF DATA PRESENT FOR Y


           Covariance Coverage
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.799         0.799
 Y3             0.663         0.581         0.663
 Y4             0.663         0.581         0.613         0.663
 INTGROUP       1.000         0.799         0.663         0.663         1.000
 MALE           1.000         0.799         0.663         0.663         1.000
 WHITE          1.000         0.799         0.663         0.663         1.000
 LUNCH          1.000         0.799         0.663         0.663         1.000
 CAVLUNCH       1.000         0.799         0.663         0.663         1.000
 CAVTOC1F       1.000         0.799         0.663         0.663         1.000


           Covariance Coverage
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           1.000
 WHITE          1.000         1.000
 LUNCH          1.000         1.000         1.000
 CAVLUNCH       1.000         1.000         1.000         1.000
 CAVTOC1F       1.000         1.000         1.000         1.000         1.000


SUMMARY OF CATEGORICAL DATA PROPORTIONS

    U3
      Category 1    0.980
      Category 2    0.020
    U4
      Category 1    0.977
      Category 2    0.023
    U5
      Category 1    0.960
      Category 2    0.040
    U6
      Category 1    0.936
      Category 2    0.064
    U7
      Category 1    0.825
      Category 2    0.175


RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

           -1419.008  unperturbed      0
           -1419.008  285380           1



     WARNING:  WHEN ESTIMATING A MODEL WITH MORE THAN TWO CLASSES, IT MAY BE
     NECESSARY TO INCREASE THE NUMBER OF RANDOM STARTS USING THE STARTS OPTION
     TO AVOID LOCAL MAXIMA.


THE MODEL ESTIMATION TERMINATED NORMALLY

     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 4 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 5 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.




TESTS OF MODEL FIT

Loglikelihood

          H0 Value                       -1419.008
          H0 Scaling Correction Factor       1.743
            for MLR

Information Criteria

          Number of Free Parameters             73
          Akaike (AIC)                    2984.017
          Bayesian (BIC)                  3275.939
          Sample-Size Adjusted BIC        3044.303
            (n* = (n + 2) / 24)



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1         28.14366          0.06984
       2         85.81531          0.21294
       3        111.83559          0.27751
       4         72.60987          0.18017
       5        104.59557          0.25954


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1         28.14366          0.06984
       2         85.81531          0.21294
       3        111.83559          0.27751
       4         72.60988          0.18017
       5        104.59557          0.25954


CLASSIFICATION QUALITY

     Entropy                         0.761


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1               29          0.07196
       2               72          0.17866
       3              117          0.29032
       4               75          0.18610
       5              110          0.27295


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2        3        4        5

    1   0.866    0.120    0.014    0.000    0.000
    2   0.035    0.876    0.053    0.036    0.001
    3   0.005    0.119    0.840    0.006    0.030
    4   0.000    0.057    0.011    0.824    0.108
    5   0.000    0.010    0.078    0.069    0.844


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 I        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 F        BY
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    U7                 1.000      0.000    999.000    999.000

 I          ON
    INTGROUP          -0.274      0.044     -6.191      0.000
    MALE               0.048      0.056      0.848      0.396
    WHITE             -0.110      0.062     -1.790      0.073
    LUNCH             -0.008      0.043     -0.190      0.850
    CAVLUNCH          -0.217      0.077     -2.817      0.005
    CAVTOC1F           0.146      0.088      1.661      0.097

 S          ON
    INTGROUP          -0.005      0.092     -0.060      0.952
    MALE               0.020      0.040      0.512      0.609
    WHITE              0.034      0.077      0.444      0.657
    LUNCH             -0.026      0.031     -0.862      0.388
    CAVLUNCH           0.185      0.108      1.713      0.087
    CAVTOC1F          -0.190      0.150     -1.266      0.205

 F          ON
    INTGROUP           0.200      0.317      0.631      0.528
    MALE               1.128      0.890      1.268      0.205
    WHITE              1.180      0.613      1.926      0.054
    LUNCH             -0.934      0.614     -1.522      0.128
    CAVLUNCH           0.564      0.788      0.717      0.474
    CAVTOC1F           0.410      0.429      0.955      0.340

 S        WITH
    I                 -0.145      0.049     -2.990      0.003

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.855      0.548      7.031      0.000
    S                  0.259      0.333      0.777      0.437

 Intercepts
    F                  1.630      0.859      1.897      0.058

 Thresholds
    U3$1               5.570      0.888      6.274      0.000
    U4$1               5.304      0.778      6.813      0.000
    U5$1               4.491      0.687      6.534      0.000
    U6$1               3.615      0.677      5.341      0.000
    U7$1               1.538      0.709      2.169      0.030

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.410      0.148      2.780      0.005
    S                  0.083      0.018      4.696      0.000

Latent Class 2

 I        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 F        BY
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    U7                 1.000      0.000    999.000    999.000

 I          ON
    INTGROUP          -0.274      0.044     -6.191      0.000
    MALE               0.048      0.056      0.848      0.396
    WHITE             -0.110      0.062     -1.790      0.073
    LUNCH             -0.008      0.043     -0.190      0.850
    CAVLUNCH          -0.217      0.077     -2.817      0.005
    CAVTOC1F           0.146      0.088      1.661      0.097

 S          ON
    INTGROUP          -0.005      0.092     -0.060      0.952
    MALE               0.020      0.040      0.512      0.609
    WHITE              0.034      0.077      0.444      0.657
    LUNCH             -0.026      0.031     -0.862      0.388
    CAVLUNCH           0.185      0.108      1.713      0.087
    CAVTOC1F          -0.190      0.150     -1.266      0.205

 F          ON
    INTGROUP           0.200      0.317      0.631      0.528
    MALE               1.128      0.890      1.268      0.205
    WHITE              1.180      0.613      1.926      0.054
    LUNCH             -0.934      0.614     -1.522      0.128
    CAVLUNCH           0.564      0.788      0.717      0.474
    CAVTOC1F           0.410      0.429      0.955      0.340

 S        WITH
    I                 -0.145      0.049     -2.990      0.003

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  2.200      0.312      7.041      0.000
    S                  0.319      0.352      0.906      0.365

 Intercepts
    F                  0.778      0.906      0.859      0.390

 Thresholds
    U3$1               5.570      0.888      6.274      0.000
    U4$1               5.304      0.778      6.813      0.000
    U5$1               4.491      0.687      6.534      0.000
    U6$1               3.615      0.677      5.341      0.000
    U7$1               1.538      0.709      2.169      0.030

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.410      0.148      2.780      0.005
    S                  0.083      0.018      4.696      0.000

Latent Class 3

 I        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 F        BY
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    U7                 1.000      0.000    999.000    999.000

 I          ON
    INTGROUP          -0.274      0.044     -6.191      0.000
    MALE               0.048      0.056      0.848      0.396
    WHITE             -0.110      0.062     -1.790      0.073
    LUNCH             -0.008      0.043     -0.190      0.850
    CAVLUNCH          -0.217      0.077     -2.817      0.005
    CAVTOC1F           0.146      0.088      1.661      0.097

 S          ON
    INTGROUP          -0.005      0.092     -0.060      0.952
    MALE               0.020      0.040      0.512      0.609
    WHITE              0.034      0.077      0.444      0.657
    LUNCH             -0.026      0.031     -0.862      0.388
    CAVLUNCH           0.185      0.108      1.713      0.087
    CAVTOC1F          -0.190      0.150     -1.266      0.205

 F          ON
    INTGROUP           0.000      0.000    999.000    999.000
    MALE               0.000      0.000    999.000    999.000
    WHITE              0.000      0.000    999.000    999.000
    LUNCH              0.000      0.000    999.000    999.000
    CAVLUNCH           0.000      0.000    999.000    999.000
    CAVTOC1F           0.000      0.000    999.000    999.000

 S        WITH
    I                 -0.145      0.049     -2.990      0.003

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  2.200      0.312      7.041      0.000
    S                  0.319      0.352      0.906      0.365

 Intercepts
    F                  0.000      0.000    999.000    999.000

 Thresholds
    U3$1              10.000      0.000    999.000    999.000
    U4$1              10.000      0.000    999.000    999.000
    U5$1              10.000      0.000    999.000    999.000
    U6$1              10.000      0.000    999.000    999.000
    U7$1              10.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.410      0.148      2.780      0.005
    S                  0.083      0.018      4.696      0.000

Latent Class 4

 I        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 F        BY
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    U7                 1.000      0.000    999.000    999.000

 I          ON
    INTGROUP          -0.274      0.044     -6.191      0.000
    MALE               0.048      0.056      0.848      0.396
    WHITE             -0.110      0.062     -1.790      0.073
    LUNCH             -0.008      0.043     -0.190      0.850
    CAVLUNCH          -0.217      0.077     -2.817      0.005
    CAVTOC1F           0.146      0.088      1.661      0.097

 S          ON
    INTGROUP          -0.005      0.092     -0.060      0.952
    MALE               0.020      0.040      0.512      0.609
    WHITE              0.034      0.077      0.444      0.657
    LUNCH             -0.026      0.031     -0.862      0.388
    CAVLUNCH           0.185      0.108      1.713      0.087
    CAVTOC1F          -0.190      0.150     -1.266      0.205

 F          ON
    INTGROUP           0.200      0.317      0.631      0.528
    MALE               1.128      0.890      1.268      0.205
    WHITE              1.180      0.613      1.926      0.054
    LUNCH             -0.934      0.614     -1.522      0.128
    CAVLUNCH           0.564      0.788      0.717      0.474
    CAVTOC1F           0.410      0.429      0.955      0.340

 S        WITH
    I                 -0.031      0.008     -3.939      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  1.314      0.147      8.955      0.000
    S                  0.275      0.272      1.014      0.311

 Intercepts
    F                  0.000      0.000    999.000    999.000

 Thresholds
    U3$1               5.570      0.888      6.274      0.000
    U4$1               5.304      0.778      6.813      0.000
    U5$1               4.491      0.687      6.534      0.000
    U6$1               3.615      0.677      5.341      0.000
    U7$1               1.538      0.709      2.169      0.030

 Residual Variances
    Y1                -0.012      0.014     -0.854      0.393
    Y2                 0.069      0.025      2.776      0.006
    Y3                 0.060      0.019      3.111      0.002
    Y4                 0.039      0.036      1.080      0.280
    I                  0.072      0.023      3.133      0.002
    S                  0.027      0.008      3.529      0.000

Latent Class 5

 I        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 F        BY
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    U7                 1.000      0.000    999.000    999.000

 I          ON
    INTGROUP          -0.274      0.044     -6.191      0.000
    MALE               0.048      0.056      0.848      0.396
    WHITE             -0.110      0.062     -1.790      0.073
    LUNCH             -0.008      0.043     -0.190      0.850
    CAVLUNCH          -0.217      0.077     -2.817      0.005
    CAVTOC1F           0.146      0.088      1.661      0.097

 S          ON
    INTGROUP          -0.005      0.092     -0.060      0.952
    MALE               0.020      0.040      0.512      0.609
    WHITE              0.034      0.077      0.444      0.657
    LUNCH             -0.026      0.031     -0.862      0.388
    CAVLUNCH           0.185      0.108      1.713      0.087
    CAVTOC1F          -0.190      0.150     -1.266      0.205

 F          ON
    INTGROUP           0.000      0.000    999.000    999.000
    MALE               0.000      0.000    999.000    999.000
    WHITE              0.000      0.000    999.000    999.000
    LUNCH              0.000      0.000    999.000    999.000
    CAVLUNCH           0.000      0.000    999.000    999.000
    CAVTOC1F           0.000      0.000    999.000    999.000

 S        WITH
    I                 -0.031      0.008     -3.939      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  1.314      0.147      8.955      0.000
    S                  0.275      0.272      1.014      0.311

 Intercepts
    F                  0.000      0.000    999.000    999.000

 Thresholds
    U3$1              10.000      0.000    999.000    999.000
    U4$1              10.000      0.000    999.000    999.000
    U5$1              10.000      0.000    999.000    999.000
    U6$1              10.000      0.000    999.000    999.000
    U7$1              10.000      0.000    999.000    999.000

 Residual Variances
    Y1                -0.012      0.014     -0.854      0.393
    Y2                 0.069      0.025      2.776      0.006
    Y3                 0.060      0.019      3.111      0.002
    Y4                 0.039      0.036      1.080      0.280
    I                  0.072      0.023      3.133      0.002
    S                  0.027      0.008      3.529      0.000

Categorical Latent Variables

 C#1        ON
    INTGROUP           1.777      0.673      2.641      0.008
    MALE               2.353      1.841      1.278      0.201
    WHITE             -0.600      1.539     -0.390      0.696
    LUNCH              0.836      1.357      0.616      0.538
    CAVLUNCH           3.283      3.251      1.010      0.313
    CAVTOC1F           2.244      1.177      1.906      0.057

 C#2        ON
    INTGROUP           0.704      0.502      1.401      0.161
    MALE               0.505      0.996      0.507      0.612
    WHITE             -1.243      0.509     -2.441      0.015
    LUNCH              1.137      0.658      1.728      0.084
    CAVLUNCH           1.186      1.919      0.618      0.537
    CAVTOC1F          -0.390      1.055     -0.370      0.711

 C#3        ON
    INTGROUP           1.325      0.619      2.140      0.032
    MALE               0.664      0.725      0.917      0.359
    WHITE             -0.203      0.817     -0.248      0.804
    LUNCH              0.514      0.737      0.698      0.485
    CAVLUNCH           0.307      1.981      0.155      0.877
    CAVTOC1F           2.276      1.623      1.402      0.161

 C#4        ON
    INTGROUP           0.686      0.740      0.926      0.354
    MALE              -0.157      1.050     -0.149      0.881
    WHITE             -1.266      1.000     -1.266      0.205
    LUNCH              0.040      0.972      0.041      0.967
    CAVLUNCH           3.871      2.081      1.860      0.063
    CAVTOC1F          -1.976      1.222     -1.616      0.106

 Intercepts
    C#1              -10.211      1.931     -5.288      0.000
    C#2               -0.614      2.017     -0.304      0.761
    C#3               -5.756      3.384     -1.701      0.089
    C#4                1.322      2.534      0.522      0.602


LOGISTIC REGRESSION ODDS RATIO RESULTS

Categorical Latent Variables

 C#1      ON
    INTGROUP           5.914
    MALE              10.521
    WHITE              0.549
    LUNCH              2.307
    CAVLUNCH          26.643
    CAVTOC1F           9.428

 C#2      ON
    INTGROUP           2.021
    MALE               1.658
    WHITE              0.289
    LUNCH              3.117
    CAVLUNCH           3.273
    CAVTOC1F           0.677

 C#3      ON
    INTGROUP           3.762
    MALE               1.943
    WHITE              0.816
    LUNCH              1.672
    CAVLUNCH           1.359
    CAVTOC1F           9.739

 C#4      ON
    INTGROUP           1.986
    MALE               0.855
    WHITE              0.282
    LUNCH              1.041
    CAVLUNCH          47.994
    CAVTOC1F           0.139


ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

Parameterization using Reference Class 1

 C#2      ON
    INTGROUP          -1.073      0.849     -1.264      0.206
    MALE              -1.848      1.312     -1.409      0.159
    WHITE             -0.642      1.754     -0.366      0.714
    LUNCH              0.301      1.247      0.241      0.809
    CAVLUNCH          -2.097      1.973     -1.063      0.288
    CAVTOC1F          -2.634      0.753     -3.496      0.000

 C#3      ON
    INTGROUP          -0.452      0.834     -0.542      0.588
    MALE              -1.689      1.633     -1.034      0.301
    WHITE              0.398      0.847      0.469      0.639
    LUNCH             -0.322      1.105     -0.291      0.771
    CAVLUNCH          -2.976      2.100     -1.417      0.157
    CAVTOC1F           0.033      0.743      0.044      0.965

 C#4      ON
    INTGROUP          -1.091      1.010     -1.081      0.280
    MALE              -2.510      1.353     -1.855      0.064
    WHITE             -0.666      1.418     -0.469      0.639
    LUNCH             -0.796      0.893     -0.891      0.373
    CAVLUNCH           0.589      1.550      0.380      0.704
    CAVTOC1F          -4.219      1.079     -3.910      0.000

 C#5      ON
    INTGROUP          -1.777      0.673     -2.641      0.008
    MALE              -2.353      1.841     -1.278      0.201
    WHITE              0.600      1.539      0.390      0.696
    LUNCH             -0.836      1.357     -0.616      0.538
    CAVLUNCH          -3.283      3.251     -1.010      0.313
    CAVTOC1F          -2.244      1.177     -1.906      0.057

 Intercepts
    C#2                9.597      2.236      4.291      0.000
    C#3                4.454      3.189      1.397      0.162
    C#4               11.532      2.507      4.600      0.000
    C#5               10.211      1.931      5.288      0.000

Parameterization using Reference Class 2

 C#1      ON
    INTGROUP           1.073      0.849      1.264      0.206
    MALE               1.848      1.312      1.409      0.159
    WHITE              0.642      1.754      0.366      0.714
    LUNCH             -0.301      1.247     -0.241      0.809
    CAVLUNCH           2.097      1.973      1.063      0.288
    CAVTOC1F           2.634      0.753      3.496      0.000

 C#3      ON
    INTGROUP           0.621      0.987      0.629      0.529
    MALE               0.159      0.970      0.164      0.870
    WHITE              1.040      0.973      1.069      0.285
    LUNCH             -0.622      0.795     -0.783      0.433
    CAVLUNCH          -0.879      0.889     -0.988      0.323
    CAVTOC1F           2.667      1.189      2.242      0.025

 C#4      ON
    INTGROUP          -0.018      0.542     -0.033      0.974
    MALE              -0.662      0.570     -1.162      0.245
    WHITE             -0.023      1.029     -0.023      0.982
    LUNCH             -1.097      0.582     -1.885      0.059
    CAVLUNCH           2.685      0.929      2.891      0.004
    CAVTOC1F          -1.585      0.592     -2.679      0.007

 C#5      ON
    INTGROUP          -0.704      0.502     -1.401      0.161
    MALE              -0.505      0.996     -0.507      0.612
    WHITE              1.243      0.509      2.441      0.015
    LUNCH             -1.137      0.658     -1.728      0.084
    CAVLUNCH          -1.186      1.919     -0.618      0.537
    CAVTOC1F           0.390      1.055      0.370      0.711

 Intercepts
    C#1               -9.597      2.236     -4.291      0.000
    C#3               -5.142      3.831     -1.342      0.180
    C#4                1.936      1.245      1.555      0.120
    C#5                0.614      2.017      0.304      0.761

Parameterization using Reference Class 3

 C#1      ON
    INTGROUP           0.452      0.834      0.542      0.588
    MALE               1.689      1.633      1.034      0.301
    WHITE             -0.398      0.847     -0.469      0.639
    LUNCH              0.322      1.105      0.291      0.771
    CAVLUNCH           2.976      2.100      1.417      0.157
    CAVTOC1F          -0.033      0.743     -0.044      0.965

 C#2      ON
    INTGROUP          -0.621      0.987     -0.629      0.529
    MALE              -0.159      0.970     -0.164      0.870
    WHITE             -1.040      0.973     -1.069      0.285
    LUNCH              0.622      0.795      0.783      0.433
    CAVLUNCH           0.879      0.889      0.988      0.323
    CAVTOC1F          -2.667      1.189     -2.242      0.025

 C#4      ON
    INTGROUP          -0.639      1.201     -0.532      0.595
    MALE              -0.821      0.856     -0.959      0.338
    WHITE             -1.063      0.768     -1.385      0.166
    LUNCH             -0.474      0.792     -0.599      0.549
    CAVLUNCH           3.564      1.180      3.021      0.003
    CAVTOC1F          -4.252      1.447     -2.939      0.003

 C#5      ON
    INTGROUP          -1.325      0.619     -2.140      0.032
    MALE              -0.664      0.725     -0.917      0.359
    WHITE              0.203      0.817      0.248      0.804
    LUNCH             -0.514      0.737     -0.698      0.485
    CAVLUNCH          -0.307      1.981     -0.155      0.877
    CAVTOC1F          -2.276      1.623     -1.402      0.161

 Intercepts
    C#1               -4.454      3.189     -1.397      0.162
    C#2                5.142      3.831      1.342      0.180
    C#4                7.078      3.885      1.822      0.068
    C#5                5.756      3.384      1.701      0.089

Parameterization using Reference Class 4

 C#1      ON
    INTGROUP           1.091      1.010      1.081      0.280
    MALE               2.510      1.353      1.855      0.064
    WHITE              0.666      1.418      0.469      0.639
    LUNCH              0.796      0.893      0.891      0.373
    CAVLUNCH          -0.589      1.550     -0.380      0.704
    CAVTOC1F           4.219      1.079      3.910      0.000

 C#2      ON
    INTGROUP           0.018      0.542      0.033      0.974
    MALE               0.662      0.570      1.162      0.245
    WHITE              0.023      1.029      0.023      0.982
    LUNCH              1.097      0.582      1.885      0.059
    CAVLUNCH          -2.685      0.929     -2.891      0.004
    CAVTOC1F           1.585      0.592      2.679      0.007

 C#3      ON
    INTGROUP           0.639      1.201      0.532      0.595
    MALE               0.821      0.856      0.959      0.338
    WHITE              1.063      0.768      1.385      0.166
    LUNCH              0.474      0.792      0.599      0.549
    CAVLUNCH          -3.564      1.180     -3.021      0.003
    CAVTOC1F           4.252      1.447      2.939      0.003

 C#5      ON
    INTGROUP          -0.686      0.740     -0.926      0.354
    MALE               0.157      1.050      0.149      0.881
    WHITE              1.266      1.000      1.266      0.205
    LUNCH             -0.040      0.972     -0.041      0.967
    CAVLUNCH          -3.871      2.081     -1.860      0.063
    CAVTOC1F           1.976      1.222      1.616      0.106

 Intercepts
    C#1              -11.532      2.507     -4.600      0.000
    C#2               -1.936      1.245     -1.555      0.120
    C#3               -7.078      3.885     -1.822      0.068
    C#5               -1.322      2.534     -0.522      0.602


STANDARDIZED MODEL RESULTS


STDYX Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 I        BY
    Y1                 0.829      0.074     11.235      0.000
    Y2                 0.885      0.109      8.104      0.000
    Y3                 0.809      0.189      4.286      0.000
    Y4                 0.834      0.199      4.183      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.403      0.067      6.008      0.000
    Y3                 0.737      0.087      8.518      0.000
    Y4                 1.139      0.129      8.807      0.000

 I          ON
    INTGROUP          -0.198      0.052     -3.779      0.000
    MALE               0.026      0.032      0.809      0.419
    WHITE             -0.063      0.039     -1.599      0.110
    LUNCH             -0.006      0.030     -0.187      0.851
    CAVLUNCH          -0.085      0.034     -2.549      0.011
    CAVTOC1F           0.107      0.067      1.604      0.109

 S          ON
    INTGROUP          -0.009      0.146     -0.060      0.952
    MALE               0.024      0.048      0.509      0.611
    WHITE              0.043      0.096      0.448      0.654
    LUNCH             -0.039      0.045     -0.879      0.380
    CAVLUNCH           0.160      0.093      1.718      0.086
    CAVTOC1F          -0.307      0.240     -1.277      0.201

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  5.790      1.338      4.327      0.000
    S                  0.854      1.070      0.798      0.425

 Residual Variances
    Y1                 0.313      0.122      2.554      0.011
    Y2                 0.623      0.071      8.832      0.000
    Y3                 0.753      0.086      8.748      0.000
    Y4                 0.522      0.192      2.725      0.006
    I                  0.926      0.040     23.348      0.000
    S                  0.901      0.112      8.057      0.000

Latent Class 2

 I        BY
    Y1                 0.826      0.074     11.111      0.000
    Y2                 0.870      0.111      7.865      0.000
    Y3                 0.789      0.189      4.182      0.000
    Y4                 0.808      0.200      4.050      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.395      0.062      6.381      0.000
    Y3                 0.717      0.087      8.214      0.000
    Y4                 1.101      0.139      7.916      0.000

 I          ON
    INTGROUP          -0.197      0.052     -3.779      0.000
    MALE               0.036      0.045      0.807      0.420
    WHITE             -0.060      0.038     -1.597      0.110
    LUNCH             -0.006      0.032     -0.187      0.852
    CAVLUNCH          -0.117      0.046     -2.542      0.011
    CAVTOC1F           0.078      0.049      1.581      0.114

 S          ON
    INTGROUP          -0.009      0.146     -0.060      0.952
    MALE               0.034      0.067      0.509      0.611
    WHITE              0.041      0.092      0.450      0.653
    LUNCH             -0.043      0.048     -0.887      0.375
    CAVLUNCH           0.220      0.125      1.752      0.080
    CAVTOC1F          -0.224      0.176     -1.274      0.203

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.338      0.619      5.395      0.000
    S                  1.067      1.176      0.907      0.364

 Residual Variances
    Y1                 0.317      0.123      2.578      0.010
    Y2                 0.615      0.068      9.081      0.000
    Y3                 0.732      0.092      7.917      0.000
    Y4                 0.501      0.190      2.634      0.008
    I                  0.945      0.030     31.710      0.000
    S                  0.926      0.107      8.620      0.000

Latent Class 3

 I        BY
    Y1                 0.825      0.075     11.041      0.000
    Y2                 0.869      0.111      7.822      0.000
    Y3                 0.789      0.190      4.159      0.000
    Y4                 0.811      0.200      4.055      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.393      0.062      6.312      0.000
    Y3                 0.714      0.090      7.931      0.000
    Y4                 1.100      0.139      7.938      0.000

 I          ON
    INTGROUP          -0.191      0.051     -3.751      0.000
    MALE               0.036      0.045      0.806      0.420
    WHITE             -0.084      0.052     -1.593      0.111
    LUNCH             -0.006      0.032     -0.187      0.852
    CAVLUNCH          -0.112      0.044     -2.525      0.012
    CAVTOC1F           0.091      0.058      1.581      0.114

 S          ON
    INTGROUP          -0.008      0.141     -0.060      0.952
    MALE               0.034      0.067      0.508      0.612
    WHITE              0.058      0.128      0.449      0.653
    LUNCH             -0.043      0.048     -0.890      0.373
    CAVLUNCH           0.210      0.123      1.708      0.088
    CAVTOC1F          -0.262      0.208     -1.258      0.208

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.351      0.627      5.343      0.000
    S                  1.074      1.194      0.900      0.368

 Residual Variances
    Y1                 0.319      0.123      2.581      0.010
    Y2                 0.618      0.068      9.063      0.000
    Y3                 0.737      0.090      8.151      0.000
    Y4                 0.508      0.189      2.680      0.007
    I                  0.952      0.027     35.819      0.000
    S                  0.939      0.088     10.722      0.000

Latent Class 4

 I        BY
    Y1                 1.069      0.079     13.458      0.000
    Y2                 0.858      0.090      9.568      0.000
    Y3                 0.795      0.144      5.515      0.000
    Y4                 0.649      0.151      4.293      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.505      0.083      6.104      0.000
    Y3                 0.935      0.090     10.370      0.000
    Y4                 1.145      0.098     11.650      0.000

 I          ON
    INTGROUP          -0.431      0.082     -5.256      0.000
    MALE               0.074      0.086      0.858      0.391
    WHITE             -0.092      0.052     -1.746      0.081
    LUNCH             -0.012      0.065     -0.191      0.849
    CAVLUNCH          -0.203      0.081     -2.503      0.012
    CAVTOC1F           0.135      0.079      1.703      0.089

 S          ON
    INTGROUP          -0.015      0.243     -0.060      0.952
    MALE               0.054      0.103      0.523      0.601
    WHITE              0.049      0.110      0.443      0.658
    LUNCH             -0.068      0.083     -0.820      0.412
    CAVLUNCH           0.293      0.126      2.332      0.020
    CAVTOC1F          -0.299      0.188     -1.588      0.112

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.272      0.734      5.821      0.000
    S                  1.523      1.251      1.218      0.223

 Residual Variances
    Y1                -0.143    999.000    999.000    999.000
    Y2                 0.538      0.087      6.212      0.000
    Y3                 0.402      0.143      2.800      0.005
    Y4                 0.175      0.204      0.860      0.390
    I                  0.758      0.095      8.000      0.000
    S                  0.816      0.232      3.525      0.000

Latent Class 5

 I        BY
    Y1                 1.067      0.077     13.919      0.000
    Y2                 0.873      0.089      9.769      0.000
    Y3                 0.830      0.137      6.052      0.000
    Y4                 0.690      0.137      5.023      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.490      0.064      7.698      0.000
    Y3                 0.932      0.073     12.690      0.000
    Y4                 1.162      0.105     11.085      0.000

 I          ON
    INTGROUP          -0.439      0.083     -5.270      0.000
    MALE               0.076      0.089      0.857      0.392
    WHITE             -0.177      0.100     -1.764      0.078
    LUNCH             -0.010      0.054     -0.190      0.849
    CAVLUNCH          -0.193      0.077     -2.493      0.013
    CAVTOC1F           0.154      0.090      1.712      0.087

 S          ON
    INTGROUP          -0.016      0.260     -0.060      0.952
    MALE               0.058      0.113      0.514      0.607
    WHITE              0.098      0.220      0.447      0.655
    LUNCH             -0.059      0.071     -0.831      0.406
    CAVLUNCH           0.292      0.140      2.088      0.037
    CAVTOC1F          -0.358      0.244     -1.464      0.143

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.212      0.729      5.778      0.000
    S                  1.574      1.373      1.146      0.252

 Residual Variances
    Y1                -0.138    999.000    999.000    999.000
    Y2                 0.541      0.085      6.382      0.000
    Y3                 0.426      0.127      3.365      0.001
    Y4                 0.193      0.206      0.935      0.350
    I                  0.737      0.094      7.851      0.000
    S                  0.871      0.144      6.034      0.000


STDY Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 I        BY
    Y1                 0.829      0.074     11.235      0.000
    Y2                 0.885      0.109      8.104      0.000
    Y3                 0.809      0.189      4.286      0.000
    Y4                 0.834      0.199      4.183      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.403      0.067      6.008      0.000
    Y3                 0.737      0.087      8.518      0.000
    Y4                 1.139      0.129      8.807      0.000

 I          ON
    INTGROUP          -0.412      0.108     -3.809      0.000
    MALE               0.072      0.089      0.809      0.418
    WHITE             -0.166      0.103     -1.601      0.109
    LUNCH             -0.012      0.066     -0.187      0.851
    CAVLUNCH          -0.326      0.128     -2.559      0.011
    CAVTOC1F           0.219      0.136      1.606      0.108

 S          ON
    INTGROUP          -0.018      0.303     -0.060      0.952
    MALE               0.067      0.132      0.509      0.611
    WHITE              0.113      0.253      0.448      0.654
    LUNCH             -0.087      0.099     -0.879      0.379
    CAVLUNCH           0.610      0.354      1.721      0.085
    CAVTOC1F          -0.626      0.490     -1.279      0.201

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  5.790      1.338      4.327      0.000
    S                  0.854      1.070      0.798      0.425

 Residual Variances
    Y1                 0.313      0.122      2.554      0.011
    Y2                 0.623      0.071      8.832      0.000
    Y3                 0.753      0.086      8.748      0.000
    Y4                 0.522      0.192      2.725      0.006
    I                  0.926      0.040     23.348      0.000
    S                  0.901      0.112      8.057      0.000

Latent Class 2

 I        BY
    Y1                 0.826      0.074     11.111      0.000
    Y2                 0.870      0.111      7.865      0.000
    Y3                 0.789      0.189      4.182      0.000
    Y4                 0.808      0.200      4.050      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.395      0.062      6.381      0.000
    Y3                 0.717      0.087      8.214      0.000
    Y4                 1.101      0.139      7.916      0.000

 I          ON
    INTGROUP          -0.416      0.109     -3.810      0.000
    MALE               0.072      0.090      0.807      0.420
    WHITE             -0.167      0.105     -1.600      0.110
    LUNCH             -0.012      0.066     -0.187      0.852
    CAVLUNCH          -0.330      0.129     -2.552      0.011
    CAVTOC1F           0.221      0.140      1.583      0.113

 S          ON
    INTGROUP          -0.018      0.307     -0.060      0.952
    MALE               0.068      0.134      0.509      0.611
    WHITE              0.115      0.255      0.450      0.653
    LUNCH             -0.088      0.099     -0.887      0.375
    CAVLUNCH           0.618      0.352      1.755      0.079
    CAVTOC1F          -0.635      0.498     -1.275      0.202

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.338      0.619      5.395      0.000
    S                  1.067      1.176      0.907      0.364

 Residual Variances
    Y1                 0.317      0.123      2.578      0.010
    Y2                 0.615      0.068      9.081      0.000
    Y3                 0.732      0.092      7.917      0.000
    Y4                 0.501      0.190      2.634      0.008
    I                  0.945      0.030     31.710      0.000
    S                  0.926      0.107      8.620      0.000

Latent Class 3

 I        BY
    Y1                 0.825      0.075     11.041      0.000
    Y2                 0.869      0.111      7.822      0.000
    Y3                 0.789      0.190      4.159      0.000
    Y4                 0.811      0.200      4.055      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.393      0.062      6.312      0.000
    Y3                 0.714      0.090      7.931      0.000
    Y4                 1.100      0.139      7.938      0.000

 I          ON
    INTGROUP          -0.418      0.110     -3.782      0.000
    MALE               0.073      0.090      0.807      0.420
    WHITE             -0.168      0.105     -1.595      0.111
    LUNCH             -0.012      0.067     -0.187      0.852
    CAVLUNCH          -0.331      0.131     -2.535      0.011
    CAVTOC1F           0.222      0.140      1.583      0.113

 S          ON
    INTGROUP          -0.018      0.309     -0.060      0.952
    MALE               0.069      0.135      0.508      0.612
    WHITE              0.116      0.257      0.449      0.653
    LUNCH             -0.089      0.100     -0.891      0.373
    CAVLUNCH           0.622      0.364      1.711      0.087
    CAVTOC1F          -0.639      0.507     -1.259      0.208

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.351      0.627      5.343      0.000
    S                  1.074      1.194      0.900      0.368

 Residual Variances
    Y1                 0.319      0.123      2.581      0.010
    Y2                 0.618      0.068      9.063      0.000
    Y3                 0.737      0.090      8.151      0.000
    Y4                 0.508      0.189      2.680      0.007
    I                  0.952      0.027     35.819      0.000
    S                  0.939      0.088     10.722      0.000

Latent Class 4

 I        BY
    Y1                 1.069      0.079     13.458      0.000
    Y2                 0.858      0.090      9.568      0.000
    Y3                 0.795      0.144      5.515      0.000
    Y4                 0.649      0.151      4.293      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.505      0.083      6.104      0.000
    Y3                 0.935      0.090     10.370      0.000
    Y4                 1.145      0.098     11.650      0.000

 I          ON
    INTGROUP          -0.892      0.168     -5.317      0.000
    MALE               0.155      0.181      0.859      0.391
    WHITE             -0.359      0.205     -1.750      0.080
    LUNCH             -0.027      0.140     -0.191      0.849
    CAVLUNCH          -0.707      0.281     -2.512      0.012
    CAVTOC1F           0.473      0.277      1.706      0.088

 S          ON
    INTGROUP          -0.030      0.503     -0.060      0.952
    MALE               0.113      0.216      0.523      0.601
    WHITE              0.190      0.429      0.443      0.658
    LUNCH             -0.146      0.178     -0.820      0.412
    CAVLUNCH           1.022      0.437      2.339      0.019
    CAVTOC1F          -1.049      0.660     -1.590      0.112

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.272      0.734      5.821      0.000
    S                  1.523      1.251      1.218      0.223

 Residual Variances
    Y1               999.000    999.000    999.000    999.000
    Y2                 0.538      0.087      6.212      0.000
    Y3                 0.402      0.143      2.800      0.005
    Y4                 0.175      0.204      0.860      0.390
    I                  0.758      0.095      8.000      0.000
    S                  0.816      0.232      3.525      0.000

Latent Class 5

 I        BY
    Y1                 1.067      0.077     13.919      0.000
    Y2                 0.873      0.089      9.769      0.000
    Y3                 0.830      0.137      6.052      0.000
    Y4                 0.690      0.137      5.023      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.490      0.064      7.698      0.000
    Y3                 0.932      0.073     12.690      0.000
    Y4                 1.162      0.105     11.085      0.000

 I          ON
    INTGROUP          -0.879      0.165     -5.324      0.000
    MALE               0.153      0.178      0.857      0.391
    WHITE             -0.353      0.200     -1.768      0.077
    LUNCH             -0.026      0.138     -0.190      0.849
    CAVLUNCH          -0.697      0.278     -2.502      0.012
    CAVTOC1F           0.467      0.272      1.715      0.086

 S          ON
    INTGROUP          -0.031      0.521     -0.060      0.952
    MALE               0.117      0.227      0.514      0.607
    WHITE              0.196      0.439      0.447      0.655
    LUNCH             -0.151      0.181     -0.831      0.406
    CAVLUNCH           1.056      0.504      2.094      0.036
    CAVTOC1F          -1.084      0.740     -1.466      0.143

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.212      0.729      5.778      0.000
    S                  1.574      1.373      1.146      0.252

 Residual Variances
    Y1               999.000    999.000    999.000    999.000
    Y2                 0.541      0.085      6.382      0.000
    Y3                 0.426      0.127      3.365      0.001
    Y4                 0.193      0.206      0.935      0.350
    I                  0.737      0.094      7.851      0.000
    S                  0.871      0.144      6.034      0.000


STD Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 I        BY
    Y1                 0.666      0.110      6.068      0.000
    Y2                 0.666      0.110      6.068      0.000
    Y3                 0.666      0.110      6.068      0.000
    Y4                 0.666      0.110      6.068      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.303      0.028     10.996      0.000
    Y3                 0.606      0.055     10.996      0.000
    Y4                 0.909      0.083     10.996      0.000

 I          ON
    INTGROUP          -0.412      0.108     -3.809      0.000
    MALE               0.072      0.089      0.809      0.418
    WHITE             -0.166      0.103     -1.601      0.109
    LUNCH             -0.012      0.066     -0.187      0.851
    CAVLUNCH          -0.326      0.128     -2.559      0.011
    CAVTOC1F           0.219      0.136      1.606      0.108

 S          ON
    INTGROUP          -0.018      0.303     -0.060      0.952
    MALE               0.067      0.132      0.509      0.611
    WHITE              0.113      0.253      0.448      0.654
    LUNCH             -0.087      0.099     -0.879      0.379
    CAVLUNCH           0.610      0.354      1.721      0.085
    CAVTOC1F          -0.626      0.490     -1.279      0.201

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  5.790      1.338      4.327      0.000
    S                  0.854      1.070      0.798      0.425

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.926      0.040     23.348      0.000
    S                  0.901      0.112      8.057      0.000

Latent Class 2

 I        BY
    Y1                 0.659      0.110      5.998      0.000
    Y2                 0.659      0.110      5.998      0.000
    Y3                 0.659      0.110      5.998      0.000
    Y4                 0.659      0.110      5.998      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.299      0.027     11.248      0.000
    Y3                 0.598      0.053     11.248      0.000
    Y4                 0.897      0.080     11.248      0.000

 I          ON
    INTGROUP          -0.416      0.109     -3.810      0.000
    MALE               0.072      0.090      0.807      0.420
    WHITE             -0.167      0.105     -1.600      0.110
    LUNCH             -0.012      0.066     -0.187      0.852
    CAVLUNCH          -0.330      0.129     -2.552      0.011
    CAVTOC1F           0.221      0.140      1.583      0.113

 S          ON
    INTGROUP          -0.018      0.307     -0.060      0.952
    MALE               0.068      0.134      0.509      0.611
    WHITE              0.115      0.255      0.450      0.653
    LUNCH             -0.088      0.099     -0.887      0.375
    CAVLUNCH           0.618      0.352      1.755      0.079
    CAVTOC1F          -0.635      0.498     -1.275      0.202

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.338      0.619      5.395      0.000
    S                  1.067      1.176      0.907      0.364

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.945      0.030     31.710      0.000
    S                  0.926      0.107      8.620      0.000

Latent Class 3

 I        BY
    Y1                 0.657      0.111      5.931      0.000
    Y2                 0.657      0.111      5.931      0.000
    Y3                 0.657      0.111      5.931      0.000
    Y4                 0.657      0.111      5.931      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.297      0.027     11.094      0.000
    Y3                 0.594      0.054     11.094      0.000
    Y4                 0.891      0.080     11.094      0.000

 I          ON
    INTGROUP          -0.418      0.110     -3.782      0.000
    MALE               0.073      0.090      0.807      0.420
    WHITE             -0.168      0.105     -1.595      0.111
    LUNCH             -0.012      0.067     -0.187      0.852
    CAVLUNCH          -0.331      0.131     -2.535      0.011
    CAVTOC1F           0.222      0.140      1.583      0.113

 S          ON
    INTGROUP          -0.018      0.309     -0.060      0.952
    MALE               0.069      0.135      0.508      0.612
    WHITE              0.116      0.257      0.449      0.653
    LUNCH             -0.089      0.100     -0.891      0.373
    CAVLUNCH           0.622      0.364      1.711      0.087
    CAVTOC1F          -0.639      0.507     -1.259      0.208

 S        WITH
    I                 -0.789      0.113     -6.978      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  3.351      0.627      5.343      0.000
    S                  1.074      1.194      0.900      0.368

 Residual Variances
    Y1                 0.202      0.095      2.129      0.033
    Y2                 0.353      0.082      4.289      0.000
    Y3                 0.510      0.111      4.577      0.000
    Y4                 0.333      0.125      2.672      0.008
    I                  0.952      0.027     35.819      0.000
    S                  0.939      0.088     10.722      0.000

Latent Class 4

 I        BY
    Y1                 0.307      0.037      8.375      0.000
    Y2                 0.307      0.037      8.375      0.000
    Y3                 0.307      0.037      8.375      0.000
    Y4                 0.307      0.037      8.375      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.181      0.039      4.611      0.000
    Y3                 0.362      0.078      4.611      0.000
    Y4                 0.543      0.118      4.611      0.000

 I          ON
    INTGROUP          -0.892      0.168     -5.317      0.000
    MALE               0.155      0.181      0.859      0.391
    WHITE             -0.359      0.205     -1.750      0.080
    LUNCH             -0.027      0.140     -0.191      0.849
    CAVLUNCH          -0.707      0.281     -2.512      0.012
    CAVTOC1F           0.473      0.277      1.706      0.088

 S          ON
    INTGROUP          -0.030      0.503     -0.060      0.952
    MALE               0.113      0.216      0.523      0.601
    WHITE              0.190      0.429      0.443      0.658
    LUNCH             -0.146      0.178     -0.820      0.412
    CAVLUNCH           1.022      0.437      2.339      0.019
    CAVTOC1F          -1.049      0.660     -1.590      0.112

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.272      0.734      5.821      0.000
    S                  1.523      1.251      1.218      0.223

 Residual Variances
    Y1                -0.012    999.000    999.000    999.000
    Y2                 0.069      0.025      2.776      0.006
    Y3                 0.060      0.019      3.111      0.002
    Y4                 0.039      0.036      1.080      0.280
    I                  0.758      0.095      8.000      0.000
    S                  0.816      0.232      3.525      0.000

Latent Class 5

 I        BY
    Y1                 0.312      0.037      8.357      0.000
    Y2                 0.312      0.037      8.357      0.000
    Y3                 0.312      0.037      8.357      0.000
    Y4                 0.312      0.037      8.357      0.000

 S        BY
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.175      0.030      5.879      0.000
    Y3                 0.350      0.060      5.879      0.000
    Y4                 0.525      0.089      5.879      0.000

 I          ON
    INTGROUP          -0.879      0.165     -5.324      0.000
    MALE               0.153      0.178      0.857      0.391
    WHITE             -0.353      0.200     -1.768      0.077
    LUNCH             -0.026      0.138     -0.190      0.849
    CAVLUNCH          -0.697      0.278     -2.502      0.012
    CAVTOC1F           0.467      0.272      1.715      0.086

 S          ON
    INTGROUP          -0.031      0.521     -0.060      0.952
    MALE               0.117      0.227      0.514      0.607
    WHITE              0.196      0.439      0.447      0.655
    LUNCH             -0.151      0.181     -0.831      0.406
    CAVLUNCH           1.056      0.504      2.094      0.036
    CAVTOC1F          -1.084      0.740     -1.466      0.143

 S        WITH
    I                 -0.700      0.096     -7.324      0.000

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    I                  4.212      0.729      5.778      0.000
    S                  1.574      1.373      1.146      0.252

 Residual Variances
    Y1                -0.012    999.000    999.000    999.000
    Y2                 0.069      0.025      2.776      0.006
    Y3                 0.060      0.019      3.111      0.002
    Y4                 0.039      0.036      1.080      0.280
    I                  0.737      0.094      7.851      0.000
    S                  0.871      0.144      6.034      0.000


R-SQUARE

Class 1

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y1                 0.687      0.122      5.617      0.000
    Y2                 0.377      0.071      5.338      0.000
    Y3                 0.247      0.086      2.866      0.004
    Y4                 0.478      0.192      2.493      0.013

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    I                  0.074      0.040      1.871      0.061
    S                  0.099      0.112      0.884      0.377

Class 2

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y1                 0.683      0.123      5.555      0.000
    Y2                 0.385      0.068      5.690      0.000
    Y3                 0.268      0.092      2.903      0.004
    Y4                 0.499      0.190      2.623      0.009

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    I                  0.055      0.030      1.844      0.065
    S                  0.074      0.107      0.694      0.488

Class 3

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y1                 0.681      0.123      5.520      0.000
    Y2                 0.382      0.068      5.611      0.000
    Y3                 0.263      0.090      2.915      0.004
    Y4                 0.492      0.189      2.597      0.009

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    I                  0.048      0.027      1.804      0.071
    S                  0.061      0.088      0.702      0.483

Class 4

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y1              Undefined   0.11426E+01
    Y2                 0.462      0.087      5.343      0.000
    Y3                 0.598      0.143      4.170      0.000
    Y4                 0.825      0.204      4.045      0.000

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    I                  0.242      0.095      2.548      0.011
    S                  0.184      0.232      0.793      0.428

Class 5

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y1              Undefined   0.11381E+01
    Y2                 0.459      0.085      5.413      0.000
    Y3                 0.574      0.127      4.537      0.000
    Y4                 0.807      0.206      3.915      0.000

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    I                  0.263      0.094      2.797      0.005
    S                  0.129      0.144      0.890      0.374


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.216E-06
       (ratio of smallest to largest eigenvalue)


RESIDUAL OUTPUT


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) FOR CLASS 1


           Model Estimated Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              3.864         3.837         3.809         3.781         0.636


           Model Estimated Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.844         0.174         0.719         0.686         2.183


           Residuals for Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              0.026        -0.091        -0.324         0.118         0.000


           Residuals for Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           Model Estimated Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.645
 Y2             0.282         0.566
 Y3             0.121         0.144         0.677
 Y4            -0.040         0.075         0.190         0.638
 INTGROUP      -0.081        -0.048        -0.014         0.019         0.232
 MALE          -0.005         0.001         0.007         0.014         0.025
 WHITE          0.010        -0.001        -0.011        -0.021        -0.037
 LUNCH          0.015         0.012         0.009         0.005        -0.067
 CAVLUNCH      -0.001         0.007         0.016         0.024        -0.033
 CAVTOC1F       0.082         0.041        -0.001        -0.043        -0.208


           Model Estimated Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.131
 WHITE          0.012         0.144
 LUNCH          0.037         0.001         0.202
 CAVLUNCH      -0.004        -0.035         0.036         0.069
 CAVTOC1F      -0.027         0.048         0.030         0.013         0.240


           Residuals for Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.421
 Y2            -0.487         0.347
 Y3            -0.141        -0.502         0.275
 Y4            -0.564        -0.800         0.036         0.049
 INTGROUP      -0.053         0.578        -0.172        -0.205         0.000
 MALE           0.049        -0.059         0.122         0.090         0.000
 WHITE          0.022        -0.096        -0.085        -0.086         0.000
 LUNCH          0.047        -0.360         0.168         0.212         0.000
 CAVLUNCH       0.010        -0.158         0.021        -0.017         0.000
 CAVTOC1F       0.053        -0.490         0.146         0.154         0.000


           Residuals for Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.000
 WHITE          0.000         0.000
 LUNCH          0.000         0.000         0.000
 CAVLUNCH       0.000         0.000         0.000         0.000
 CAVTOC1F       0.000         0.000         0.000         0.000         0.000


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) FOR CLASS 2


           Model Estimated Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              2.174         2.237         2.300         2.364         0.658


           Model Estimated Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.504         0.152         0.627         0.533         1.843


           Residuals for Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1             -0.053         0.001        -0.211         0.040         0.000


           Residuals for Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           Model Estimated Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.636
 Y2             0.283         0.574
 Y3             0.132         0.159         0.697
 Y4            -0.020         0.097         0.215         0.665
 INTGROUP      -0.061        -0.062        -0.063        -0.063         0.225
 MALE           0.007         0.015         0.023         0.031         0.000
 WHITE         -0.010        -0.010        -0.010        -0.011         0.025
 LUNCH         -0.011         0.002         0.015         0.028        -0.035
 CAVLUNCH      -0.011         0.004         0.019         0.033        -0.030
 CAVTOC1F       0.022         0.001        -0.021        -0.043        -0.022


           Model Estimated Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.250
 WHITE          0.026         0.129
 LUNCH          0.007        -0.057         0.234
 CAVLUNCH      -0.001        -0.059         0.124         0.126
 CAVTOC1F      -0.012        -0.023         0.011         0.018         0.125


           Residuals for Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1            -0.202
 Y2            -0.131        -0.074
 Y3            -0.280        -0.504         0.081
 Y4            -0.100        -0.218         0.019         0.155
 INTGROUP       0.050         0.129        -0.146        -0.041         0.000
 MALE           0.018        -0.060        -0.056         0.048         0.000
 WHITE          0.053         0.074         0.004         0.062         0.000
 LUNCH          0.007        -0.009         0.028        -0.038         0.000
 CAVLUNCH      -0.027        -0.042         0.074         0.002         0.000
 CAVTOC1F       0.038         0.038        -0.127        -0.122         0.000


           Residuals for Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.000
 WHITE          0.000         0.000
 LUNCH          0.000         0.000         0.000
 CAVLUNCH       0.000         0.000         0.000         0.000
 CAVTOC1F       0.000         0.000         0.000         0.000         0.000


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) FOR CLASS 3


           Model Estimated Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              2.215         2.207         2.199         2.191         0.702


           Model Estimated Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.555         0.452         0.375         0.358         2.142


           Residuals for Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              0.022         0.122        -0.268         0.067         0.000


           Residuals for Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           Model Estimated Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.633
 Y2             0.281         0.571
 Y3             0.130         0.156         0.692
 Y4            -0.020         0.094         0.208         0.656
 INTGROUP      -0.058        -0.053        -0.049        -0.045         0.209
 MALE           0.003         0.011         0.019         0.027         0.018
 WHITE         -0.018        -0.021        -0.023        -0.026         0.043
 LUNCH          0.008         0.006         0.005         0.003        -0.053
 CAVLUNCH       0.009         0.014         0.018         0.023        -0.063
 CAVTOC1F       0.033         0.009        -0.015        -0.038        -0.074


           Model Estimated Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.247
 WHITE          0.044         0.248
 LUNCH         -0.028        -0.095         0.234
 CAVLUNCH      -0.018        -0.094         0.103         0.114
 CAVTOC1F      -0.022        -0.016         0.058         0.056         0.168


           Residuals for Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.067
 Y2            -0.055        -0.106
 Y3            -0.070        -0.096        -0.224
 Y4             0.075        -0.183         0.124        -0.150
 INTGROUP       0.004         0.062        -0.013        -0.079         0.000
 MALE           0.055         0.066        -0.058        -0.121         0.000
 WHITE          0.024         0.016        -0.035        -0.083         0.000
 LUNCH         -0.020        -0.044        -0.054         0.066         0.000
 CAVLUNCH      -0.017        -0.048        -0.035         0.005         0.000
 CAVTOC1F       0.020         0.006         0.023         0.136         0.000


           Residuals for Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.000
 WHITE          0.000         0.000
 LUNCH          0.000         0.000         0.000
 CAVLUNCH       0.000         0.000         0.000         0.000
 CAVTOC1F       0.000         0.000         0.000         0.000         0.000


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) FOR CLASS 4


           Model Estimated Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              1.232         1.311         1.389         1.468         0.628


           Model Estimated Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.346         0.070         0.675         0.724         1.680


           Residuals for Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              0.011        -0.022        -0.021         0.026         0.000


           Residuals for Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           Model Estimated Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.083
 Y2             0.061         0.128
 Y3             0.027         0.058         0.150
 Y4            -0.007         0.057         0.121         0.225
 INTGROUP      -0.061        -0.070        -0.078        -0.086         0.234
 MALE           0.018         0.021         0.024         0.027        -0.021
 WHITE          0.000        -0.003        -0.005        -0.007         0.009
 LUNCH         -0.022        -0.011         0.001         0.012         0.007
 CAVLUNCH      -0.020        -0.005         0.010         0.025         0.002
 CAVTOC1F       0.005        -0.014        -0.032        -0.051         0.039


           Model Estimated Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.226
 WHITE          0.037         0.065
 LUNCH         -0.039        -0.045         0.219
 CAVLUNCH      -0.026        -0.030         0.086         0.082
 CAVTOC1F      -0.003         0.006        -0.019        -0.019         0.081


           Residuals for Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1            -0.005
 Y2            -0.011        -0.024
 Y3            -0.015        -0.079         0.022
 Y4             0.003        -0.071         0.094         0.078
 INTGROUP       0.011         0.088        -0.023        -0.078         0.000
 MALE           0.000         0.039        -0.012         0.006         0.000
 WHITE         -0.003         0.026        -0.012        -0.004         0.000
 LUNCH          0.001        -0.018         0.079         0.058         0.000
 CAVLUNCH      -0.006        -0.028         0.022         0.009         0.000
 CAVTOC1F       0.006         0.037        -0.001        -0.026         0.000


           Residuals for Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.000
 WHITE          0.000         0.000
 LUNCH          0.000         0.000         0.000
 CAVLUNCH       0.000         0.000         0.000         0.000
 CAVTOC1F       0.000         0.000         0.000         0.000         0.000


     ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) FOR CLASS 5


           Model Estimated Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1              1.348         1.336         1.323         1.310         0.532


           Model Estimated Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.437         0.520         0.192         0.225         1.838


           Residuals for Means
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1             -0.006         0.071        -0.079         0.028         0.000


           Residuals for Means
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           Model Estimated Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.085
 Y2             0.063         0.127
 Y3             0.028         0.054         0.141
 Y4            -0.007         0.050         0.108         0.204
 INTGROUP      -0.071        -0.068        -0.066        -0.063         0.249
 MALE           0.003         0.009         0.014         0.020         0.025
 WHITE         -0.024        -0.022        -0.020        -0.018         0.030
 LUNCH         -0.005        -0.002         0.001         0.004        -0.007
 CAVLUNCH      -0.004         0.001         0.006         0.010        -0.013
 CAVTOC1F       0.017         0.001        -0.015        -0.031        -0.026


           Model Estimated Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.246
 WHITE          0.024         0.250
 LUNCH          0.020        -0.035         0.155
 CAVLUNCH      -0.016        -0.056         0.054         0.077
 CAVTOC1F      -0.018        -0.013         0.012         0.032         0.109


           Residuals for Covariances
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1             0.007
 Y2             0.011         0.015
 Y3            -0.037        -0.025        -0.037
 Y4            -0.024        -0.013         0.011        -0.048
 INTGROUP      -0.013         0.000        -0.030         0.015         0.000
 MALE          -0.007        -0.032        -0.101        -0.098         0.000
 WHITE         -0.002        -0.021         0.048         0.048         0.000
 LUNCH         -0.007         0.001         0.026         0.010         0.000
 CAVLUNCH       0.000         0.010         0.017         0.012         0.000
 CAVTOC1F      -0.008         0.018         0.009        -0.030         0.000


           Residuals for Covariances
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE           0.000
 WHITE          0.000         0.000
 LUNCH          0.000         0.000         0.000
 CAVLUNCH       0.000         0.000         0.000         0.000
 CAVTOC1F       0.000         0.000         0.000         0.000         0.000


     RESIDUALS FOR DEPENDENT VARIABLES ARE NOT AVAILABLE FOR MODELS WITH
     COVARIATES BECAUSE THE RESIDUAL VALUES VARY AS A FUNCTION OF THE
     COVARIATE VALUES.


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           LAMBDA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           THETA
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           THETA
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE               0
 WHITE              0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0             0
 CAVTOC1F           0             0             0             0             0


           ALPHA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 1                  5             6             0             0             0


           ALPHA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 1                  0             0             0


           BETA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                  0             0             7             8             9
 S                  0             0            13            14            15
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           BETA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 I                 10            11            12
 S                 16            17            18
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           PSI
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                 19
 S                 20            21
 INTGROUP           0             0             0
 MALE               0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           PSI
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 LUNCH              0
 CAVLUNCH           0             0
 CAVTOC1F           0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           LAMBDA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           THETA
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           THETA
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE               0
 WHITE              0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0             0
 CAVTOC1F           0             0             0             0             0


           ALPHA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 1                 22            23             0             0             0


           ALPHA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 1                  0             0             0


           BETA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                  0             0             7             8             9
 S                  0             0            13            14            15
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           BETA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 I                 10            11            12
 S                 16            17            18
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           PSI
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                 19
 S                 20            21
 INTGROUP           0             0             0
 MALE               0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           PSI
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 LUNCH              0
 CAVLUNCH           0             0
 CAVTOC1F           0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 3


           NU
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           LAMBDA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           THETA
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           THETA
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE               0
 WHITE              0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0             0
 CAVTOC1F           0             0             0             0             0


           ALPHA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 1                 22            23             0             0             0


           ALPHA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 1                  0             0             0


           BETA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                  0             0             7             8             9
 S                  0             0            13            14            15
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           BETA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 I                 10            11            12
 S                 16            17            18
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           PSI
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                 19
 S                 20            21
 INTGROUP           0             0             0
 MALE               0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           PSI
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 LUNCH              0
 CAVLUNCH           0             0
 CAVTOC1F           0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 4


           NU
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           LAMBDA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           THETA
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 Y1                24
 Y2                 0            25
 Y3                 0             0            26
 Y4                 0             0             0            27
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           THETA
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 MALE               0
 WHITE              0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0             0
 CAVTOC1F           0             0             0             0             0


           ALPHA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 1                 28            29             0             0             0


           ALPHA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 1                  0             0             0


           BETA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                  0             0             7             8             9
 S                  0             0            13            14            15
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           BETA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 I                 10            11            12
 S                 16            17            18
 INTGROUP           0             0             0
 MALE               0             0             0
 WHITE              0             0             0
 LUNCH              0             0             0
 CAVLUNCH           0             0             0
 CAVTOC1F           0             0             0


           PSI
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 I                 30
 S                 31            32
 INTGROUP           0             0             0
 MALE               0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           PSI
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 LUNCH              0
 CAVLUNCH           0             0
 CAVTOC1F           0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 5


           NU
              Y1            Y2            Y3            Y4            INTGROUP
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              MALE          WHITE         LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              I             S             INTGROUP      MALE          WHITE
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 INTGROUP           0             0             0             0             0
 MALE               0             0             0             0             0
 WHITE              0             0             0             0             0
 LUNCH              0             0             0             0             0
 CAVLUNCH           0             0             0             0             0
 CAVTOC1F           0             0             0             0             0


           LAMBDA
              LUNCH         CAVLUNCH      CAVTOC1F
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 INTGROUP