Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  11:01 PM

INPUT INSTRUCTIONS

  Title: app12

      Recid1

      Recidivism Example

      Discrete time survival analysis in mixture modeling framework

      Event is first arrest after prison release

      Time scale is 4 week intervals, numbered 1 - 13

      Hazard function is unstructured

      Finaid included with time-varying effects

      One-class model


      VARIABLES:
          u1-u13 = I(first arrest, months 1-13), censored=999
          finaid = 1 if financial aid was provided, 0 if no aid (INTERVENTION)
          age = age at release (in years)
          race = 1 if black, 0 if white
          wexp = 1 if prior work experience, 0 if no work experience
          mar = 1 if married, 0 if unmarried
          parole = 1 if paroled, 0 if not paroled
          priors = number of prior arrests
          educ = years of schooling
          empb1-empb13 = I(one of more weeks of employment during interval)
          tr1-tr2 = Training data for long-term survivor class

  Data:

      File is recid.dat;


  Variable:

      Names are id u1-u13 finaid age race wexp mar parole
                  priors educ empb1-empb13 tr1 tr2;

      Missing are all (999);

      Usevariables are u1-u13 finaid;

      Categorical are u1-u13;

      Classes = c(1);


  Analysis:

      Type = Mixture Missing;
      MIterations = 1000;
      MConvergence = 0.000001;
      LogCriterion = 0.0000001;
      Convergence = 0.000001;


  Model:

      %overall%

      u1-u13 on finaid;

      %c#1%

      [u1$1*4.7 u2$1*4.0 u3$1*4.1 u4$1*3.9 u5$1*3.4 u6$1*3.9 u7$1*3.6];
      [u8$1*4.3 u9$1*3.5 u10$1*3.5 u11$1*3.7 u12$1*3.6 u13$1*3.3];

      u1-u13 on finaid;


  Output:

      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.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



app12

Recid1

Recidivism Example

Discrete time survival analysis in mixture modeling framework

Event is first arrest after prison release

Time scale is 4 week intervals, numbered 1 - 13

Hazard function is unstructured

Finaid included with time-varying effects

One-class model


VARIABLES:
u1-u13 = I(first arrest, months 1-13), censored=999
finaid = 1 if financial aid was provided, 0 if no aid (INTERVENTION)
age = age at release (in years)
race = 1 if black, 0 if white
wexp = 1 if prior work experience, 0 if no work experience
mar = 1 if married, 0 if unmarried
parole = 1 if paroled, 0 if not paroled
priors = number of prior arrests
educ = years of schooling
empb1-empb13 = I(one of more weeks of employment during interval)
tr1-tr2 = Training data for long-term survivor class

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         432

Number of dependent variables                                   13
Number of independent variables                                  1
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6
   U7          U8          U9          U10         U11         U12
   U13

Observed independent variables
   FINAID

Categorical latent variables
   C


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                                1000
  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
Link                                                         LOGIT

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


SUMMARY OF DATA

     Number of missing data patterns            13
     Number of y missing data patterns           0
     Number of u missing data patterns          13


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT FOR U


           Covariance Coverage
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1             1.000
 U2             0.991         0.991
 U3             0.972         0.972         0.972
 U4             0.956         0.956         0.956         0.956
 U5             0.938         0.938         0.938         0.938         0.938
 U6             0.907         0.907         0.907         0.907         0.907
 U7             0.889         0.889         0.889         0.889         0.889
 U8             0.866         0.866         0.866         0.866         0.866
 U9             0.854         0.854         0.854         0.854         0.854
 U10            0.829         0.829         0.829         0.829         0.829
 U11            0.803         0.803         0.803         0.803         0.803
 U12            0.785         0.785         0.785         0.785         0.785
 U13            0.764         0.764         0.764         0.764         0.764


           Covariance Coverage
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U6             0.907
 U7             0.889         0.889
 U8             0.866         0.866         0.866
 U9             0.854         0.854         0.854         0.854
 U10            0.829         0.829         0.829         0.829         0.829
 U11            0.803         0.803         0.803         0.803         0.803
 U12            0.785         0.785         0.785         0.785         0.785
 U13            0.764         0.764         0.764         0.764         0.764


           Covariance Coverage
              U11           U12           U13
              ________      ________      ________
 U11            0.803
 U12            0.785         0.785
 U13            0.764         0.764         0.764


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.991      428.000
      Category 2    0.009        4.000
    U2
      Category 1    0.981      420.000
      Category 2    0.019        8.000
    U3
      Category 1    0.983      413.000
      Category 2    0.017        7.000
    U4
      Category 1    0.981      405.000
      Category 2    0.019        8.000
    U5
      Category 1    0.968      392.000
      Category 2    0.032       13.000
    U6
      Category 1    0.980      384.000
      Category 2    0.020        8.000
    U7
      Category 1    0.974      374.000
      Category 2    0.026       10.000
    U8
      Category 1    0.987      369.000
      Category 2    0.013        5.000
    U9
      Category 1    0.970      358.000
      Category 2    0.030       11.000
    U10
      Category 1    0.969      347.000
      Category 2    0.031       11.000
    U11
      Category 1    0.977      339.000
      Category 2    0.023        8.000
    U12
      Category 1    0.973      330.000
      Category 2    0.027        9.000
    U13
      Category 1    0.964      318.000
      Category 2    0.036       12.000


     THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE
     TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NON-POSITIVE DEFINITE
     FIRST-ORDER DERIVATIVE PRODUCT MATRIX.  THIS MAY BE DUE TO THE STARTING
     VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION.  THE
     CONDITION NUMBER IS       0.322D-19.  PROBLEM INVOLVING PARAMETER 14.


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Loglikelihood

          H0 Value                        -522.621
          H0 Scaling Correction Factor       0.923
            for MLR

Information Criteria

          Number of Free Parameters             26
          Akaike (AIC)                    1097.242
          Bayesian (BIC)                  1203.021
          Sample-Size Adjusted BIC        1120.512
            (n* = (n + 2) / 24)



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

    Latent
   Classes

       1        432.00000          1.00000


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

    Latent
   Classes

       1        432.00000          1.00000


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              432          1.00000


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

           1

    1   1.000


MODEL RESULTS

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

Latent Class 1

 U1         ON
    FINAID           -19.744      0.505    -39.073      0.000

 U2         ON
    FINAID            -0.019      0.714     -0.027      0.979

 U3         ON
    FINAID             0.911      0.842      1.082      0.279

 U4         ON
    FINAID            -0.005      0.714     -0.007      0.994

 U5         ON
    FINAID            -0.164      0.565     -0.291      0.771

 U6         ON
    FINAID            -0.532      0.737     -0.721      0.471

 U7         ON
    FINAID           -19.752      0.326    -60.597      0.000

 U8         ON
    FINAID            -0.487      0.919     -0.530      0.596

 U9         ON
    FINAID             0.925      0.685      1.350      0.177

 U10        ON
    FINAID            -0.635      0.636     -0.998      0.318

 U11        ON
    FINAID            -1.199      0.824     -1.456      0.146

 U12        ON
    FINAID             0.126      0.680      0.185      0.853

 U13        ON
    FINAID            -0.450      0.596     -0.754      0.451

 Thresholds
    U1$1               3.970      0.505      7.867      0.000
    U2$1               3.951      0.505      7.828      0.000
    U3$1               4.635      0.711      6.523      0.000
    U4$1               3.922      0.505      7.767      0.000
    U5$1               3.327      0.385      8.649      0.000
    U6$1               3.638      0.453      8.029      0.000
    U7$1               2.890      0.325      8.896      0.000
    U8$1               4.078      0.582      7.003      0.000
    U9$1               4.060      0.582      6.973      0.000
    U10$1              3.172      0.386      8.222      0.000
    U11$1              3.290      0.416      7.912      0.000
    U12$1              3.670      0.506      7.248      0.000
    U13$1              3.065      0.387      7.926      0.000


LOGISTIC REGRESSION ODDS RATIO RESULTS

Latent Class 1

 U1         ON
    FINAID             0.000

 U2         ON
    FINAID             0.981

 U3         ON
    FINAID             2.488

 U4         ON
    FINAID             0.995

 U5         ON
    FINAID             0.848

 U6         ON
    FINAID             0.588

 U7         ON
    FINAID             0.000

 U8         ON
    FINAID             0.615

 U9         ON
    FINAID             2.522

 U10        ON
    FINAID             0.530

 U11        ON
    FINAID             0.301

 U12        ON
    FINAID             1.134

 U13        ON
    FINAID             0.638


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.322E-19
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              FINAID
              ________
 1                  0


           LAMBDA
              FINAID
              ________
 FINAID             0


           THETA
              FINAID
              ________
 FINAID             0


           ALPHA
              FINAID
              ________
 1                  0


           BETA
              FINAID
              ________
 FINAID             0


           PSI
              FINAID
              ________
 FINAID             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
 1                  1             2             3             4             5


           TAU(U) FOR LATENT CLASS 1
              U6$1          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
 1                  6             7             8             9            10


           TAU(U) FOR LATENT CLASS 1
              U11$1         U12$1         U13$1
              ________      ________      ________
 1                 11            12            13


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1
              ________
 1                  0


           GAMMA(C)
              FINAID
              ________
 C#1                0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR GROWTH MODEL PART


           LAMBDA(F) FOR LATENT CLASS 1
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1                 0             0             0             0             0
 U2                 0             0             0             0             0
 U3                 0             0             0             0             0
 U4                 0             0             0             0             0
 U5                 0             0             0             0             0
 U6                 0             0             0             0             0
 U7                 0             0             0             0             0
 U8                 0             0             0             0             0
 U9                 0             0             0             0             0
 U10                0             0             0             0             0
 U11                0             0             0             0             0
 U12                0             0             0             0             0
 U13                0             0             0             0             0


           LAMBDA(F) FOR LATENT CLASS 1
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U1                 0             0             0             0             0
 U2                 0             0             0             0             0
 U3                 0             0             0             0             0
 U4                 0             0             0             0             0
 U5                 0             0             0             0             0
 U6                 0             0             0             0             0
 U7                 0             0             0             0             0
 U8                 0             0             0             0             0
 U9                 0             0             0             0             0
 U10                0             0             0             0             0
 U11                0             0             0             0             0
 U12                0             0             0             0             0
 U13                0             0             0             0             0


           LAMBDA(F) FOR LATENT CLASS 1
              U11           U12           U13
              ________      ________      ________
 U1                 0             0             0
 U2                 0             0             0
 U3                 0             0             0
 U4                 0             0             0
 U5                 0             0             0
 U6                 0             0             0
 U7                 0             0             0
 U8                 0             0             0
 U9                 0             0             0
 U10                0             0             0
 U11                0             0             0
 U12                0             0             0
 U13                0             0             0


           ALPHA(F) FOR LATENT CLASS 1
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA(F) FOR LATENT CLASS 1
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA(F) FOR LATENT CLASS 1
              U11           U12           U13
              ________      ________      ________
 1                  0             0             0


           GAMMA(F) FOR LATENT CLASS 1
              FINAID
              ________
 U1                14
 U2                15
 U3                16
 U4                17
 U5                18
 U6                19
 U7                20
 U8                21
 U9                22
 U10               23
 U11               24
 U12               25
 U13               26


     STARTING VALUES FOR LATENT CLASS 1


           NU
              FINAID
              ________
 1              0.000


           LAMBDA
              FINAID
              ________
 FINAID         1.000


           THETA
              FINAID
              ________
 FINAID         0.000


           ALPHA
              FINAID
              ________
 1              0.000


           BETA
              FINAID
              ________
 FINAID         0.000


           PSI
              FINAID
              ________
 FINAID         0.125


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
 1              4.700         4.000         4.100         3.900         3.400


           TAU(U) FOR LATENT CLASS 1
              U6$1          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
 1              3.900         3.600         4.300         3.500         3.500


           TAU(U) FOR LATENT CLASS 1
              U11$1         U12$1         U13$1
              ________      ________      ________
 1              3.700         3.600         3.300


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1
              ________
 1              0.000


           GAMMA(C)
              FINAID
              ________
 C#1            0.000


     STARTING VALUES FOR LATENT CLASS INDICATOR GROWTH MODEL PART


           LAMBDA(F) FOR CLASS LATENT CLASS 1
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1             1.000         0.000         0.000         0.000         0.000
 U2             0.000         1.000         0.000         0.000         0.000
 U3             0.000         0.000         1.000         0.000         0.000
 U4             0.000         0.000         0.000         1.000         0.000
 U5             0.000         0.000         0.000         0.000         1.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 U9             0.000         0.000         0.000         0.000         0.000
 U10            0.000         0.000         0.000         0.000         0.000
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000


           LAMBDA(F) FOR CLASS LATENT CLASS 1
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U1             0.000         0.000         0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         0.000
 U6             1.000         0.000         0.000         0.000         0.000
 U7             0.000         1.000         0.000         0.000         0.000
 U8             0.000         0.000         1.000         0.000         0.000
 U9             0.000         0.000         0.000         1.000         0.000
 U10            0.000         0.000         0.000         0.000         1.000
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000


           LAMBDA(F) FOR CLASS LATENT CLASS 1
              U11           U12           U13
              ________      ________      ________
 U1             0.000         0.000         0.000
 U2             0.000         0.000         0.000
 U3             0.000         0.000         0.000
 U4             0.000         0.000         0.000
 U5             0.000         0.000         0.000
 U6             0.000         0.000         0.000
 U7             0.000         0.000         0.000
 U8             0.000         0.000         0.000
 U9             0.000         0.000         0.000
 U10            0.000         0.000         0.000
 U11            1.000         0.000         0.000
 U12            0.000         1.000         0.000
 U13            0.000         0.000         1.000


           ALPHA(F) FOR LATENT CLASS 1
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA(F) FOR LATENT CLASS 1
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA(F) FOR LATENT CLASS 1
              U11           U12           U13
              ________      ________      ________
 1              0.000         0.000         0.000


           GAMMA(F) FOR LATENT CLASS 1
              FINAID
              ________
 U1             0.000
 U2             0.000
 U3             0.000
 U4             0.000
 U5             0.000
 U6             0.000
 U7             0.000
 U8             0.000
 U9             0.000
 U10            0.000
 U11            0.000
 U12            0.000
 U13            0.000


TECHNICAL 8 OUTPUT


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.53679672D+03    0.0000000    0.0000000    432.000              EM
     2 -0.52610402D+03   10.6927015    0.0199195    432.000              EM
     3 -0.52358485D+03    2.5191738    0.0047884    432.000              EM
     4 -0.52297072D+03    0.6141253    0.0011729    432.000              EM
     5 -0.52274958D+03    0.2211467    0.0004229    432.000              EM
     6 -0.52266830D+03    0.0812726    0.0001555    432.000              EM
     7 -0.52263842D+03    0.0298875    0.0000572    432.000              EM
     8 -0.52262742D+03    0.0109935    0.0000210    432.000              EM
     9 -0.52262338D+03    0.0040441    0.0000077    432.000              EM
    10 -0.52262189D+03    0.0014877    0.0000028    432.000              EM
    11 -0.52262134D+03    0.0005473    0.0000010    432.000              EM
    12 -0.52262114D+03    0.0002013    0.0000004    432.000              EM
    13 -0.52262107D+03    0.0000741    0.0000001    432.000              EM
    14 -0.52262104D+03    0.0000272    0.0000001    432.000              EM
    15 -0.52262103D+03    0.0000100    0.0000000    432.000              EM
    16 -0.52262103D+03    0.0000037    0.0000000    432.000              EM
    17 -0.52262103D+03    0.0000014    0.0000000    432.000              EM
    18 -0.52262103D+03    0.0000005    0.0000000    432.000              EM
    19 -0.52262103D+03    0.0000002    0.0000000    432.000              EM
    20 -0.52262103D+03    0.0000001    0.0000000    432.000              EM


     Beginning Time:  23:01:08
        Ending Time:  23:01:08
       Elapsed Time:  00:00:00



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