Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:57 PM

INPUT INSTRUCTIONS

  TITLE:
          cont10

          A MIMIC model.

          Complex sample analysis,
          multilevel modeling (disaggregated modeling).
          Compare results to wMimic1 and wMimic2 (same
          within-level model).

          In these data:

          y6-y9, x1 and x2 are student (within)- level variables,
          x3 and x4 are school (between)- level variables.

          For related work, see, e.g.:

          Muthen, B. (1994). Multilevel covariance structure analysis.
          In J. Hox & I. Kreft (Eds.), Multilevel modeling,
          a special issue of Sociological Methods & Research,
          22, 376-398.

  DATA:
          FILE IS school.dat;

  VARIABLE:
          NAMES ARE x1 y1-y16 x2 school x3 x4;
          USEV ARE y6-y9 x1 x2 x3 x4 school;
          CLUSTER IS school;
          BETWEEN ARE x3 x4;

  !        note that the BETWEEN statement above is necessary to specify
  !        that x3 and x4 are school-level variables. If this statement
  !        is left out, an error will be printed pointing to zero
  !        student-level (within) variances for x3 and x4



  ANALYSIS:
          TYPE = MEANSTRUCTURE TWOLEVEL;  ESTIMATOR=MUML;

  MODEL:

          %BETWEEN%

          fB BY y6-y9;

          fB ON x1 x2@0 x3 x4;

  !        in the statement above, x1 refers to the school-level
  !        part (variation) of the student-level variable x1 and
  !        x3, x4 refer to the school-level variables x3 and x4

          %WITHIN%

          fw BY y6-y9;

          fw ON x1 x2;

  !        in the statement above, x1 refers to the student-level
  !        part (variation) of the student-level variable x1, and
  !        x2 refers to the student-level variable x2

  OUTPUT:  SAMPSTAT STANDARDIZED;




*** WARNING in ANALYSIS command
  Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
  analyses.  To remove means from the model, use
  MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS




cont10

A MIMIC model.

Complex sample analysis,
multilevel modeling (disaggregated modeling).
Compare results to wMimic1 and wMimic2 (same
within-level model).

In these data:

y6-y9, x1 and x2 are student (within)- level variables,
x3 and x4 are school (between)- level variables.

For related work, see, e.g.:

Muthen, B. (1994). Multilevel covariance structure analysis.
In J. Hox & I. Kreft (Eds.), Multilevel modeling,
a special issue of Sociological Methods & Research,
22, 376-398.

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        5198

Number of dependent variables                                    4
Number of independent variables                                  4
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y6          Y7          Y8          Y9

Observed independent variables
   X1          X2          X3          X4

Continuous latent variables
   FB          FW

Variables with special functions

  Cluster variable      SCHOOL
  Between variables
   X3          X4


Estimator                                                     MUML
Information matrix                                        EXPECTED
Maximum number of iterations                                  1000
Convergence criterion                                    0.100D-05
Maximum number of steepest descent iterations                   20

Input data file(s)
  school.dat

Input data format  FREE


SUMMARY OF DATA

     Number of clusters                        235

     Quasi-average cluster size       22.109

     Estimated Intraclass Correlations for the Y Variables

                Intraclass              Intraclass              Intraclass
     Variable  Correlation   Variable  Correlation   Variable  Correlation

     Y6           0.197      Y7           0.221      Y8           0.067
     Y9           0.101



SAMPLE STATISTICS

NOTE:  The sample between and within covariance matrices are defined in
       the Mplus Technical Appendices at www.statmodel.com.  See between
       covariance matrix and within covariance matrix in the index of the
       Mplus User's Guide.


 NUMBER OF CLUSTERS:    235


     SAMPLE STATISTICS FOR BETWEEN


           Means
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
      1         4.630         1.170         2.482         2.608         2.160


           Means
              Y9            X1            X2
              ________      ________      ________
      1         2.930         2.365         0.492


           Covariances
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
 X3            98.525
 X4            -8.049         3.136
 Y6           -16.261         1.363         7.007
 Y7           -18.129         1.430         6.860         7.824
 Y8           -10.044         0.245         3.871         4.038         4.378
 Y9           -18.827         1.735         6.917         7.607         4.201
 X1           -19.444         2.376         6.459         6.798         4.041
 X2            -0.038        -0.019        -0.006         0.079         0.000


           Covariances
              Y9            X1            X2
              ________      ________      ________
 Y9            11.363
 X1             7.391         9.902
 X2             0.119         0.036         0.325


           Correlations
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
 X3             1.000
 X4            -0.458         1.000
 Y6            -0.619         0.291         1.000
 Y7            -0.653         0.289         0.926         1.000
 Y8            -0.484         0.066         0.699         0.690         1.000
 Y9            -0.563         0.291         0.775         0.807         0.596
 X1            -0.623         0.426         0.775         0.772         0.614
 X2            -0.007        -0.019        -0.004         0.050         0.000


           Correlations
              Y9            X1            X2
              ________      ________      ________
 Y9             1.000
 X1             0.697         1.000
 X2             0.062         0.020         1.000


     SAMPLE STATISTICS FOR WITHIN


           Means
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           Means
              Y9            X1            X2
              ________      ________      ________
      1         0.000         0.000         0.000


           Covariances
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
 X3             1.000
 X4             0.000         1.000
 Y6             0.000         0.000         1.092
 Y7             0.000         0.000         0.785         1.078
 Y8             0.000         0.000         0.520         0.536         1.699
 Y9             0.000         0.000         0.768         0.813         0.491
 X1             0.000         0.000         0.208         0.196         0.166
 X2             0.000         0.000         0.001         0.022         0.025


           Covariances
              Y9            X1            X2
              ________      ________      ________
 Y9             3.273
 X1             0.201         0.788
 X2             0.051         0.017         0.246


           Correlations
              X3            X4            Y6            Y7            Y8
              ________      ________      ________      ________      ________
 X3             1.000
 X4             0.000         1.000
 Y6             0.000         0.000         1.000
 Y7             0.000         0.000         0.724         1.000
 Y8             0.000         0.000         0.382         0.396         1.000
 Y9             0.000         0.000         0.406         0.433         0.208
 X1             0.000         0.000         0.224         0.212         0.144
 X2             0.000         0.000         0.003         0.043         0.038


           Correlations
              Y9            X1            X2
              ________      ________      ________
 Y9             1.000
 X1             0.125         1.000
 X2             0.057         0.038         1.000


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Chi-Square Test of Model Fit

          Value                             77.746
          Degrees of Freedom                    23
          P-Value                           0.0000

Chi-Square Test of Model Fit for the Baseline Model

          Value                           7293.561
          Degrees of Freedom                    36
          P-Value                           0.0000

CFI/TLI

          CFI                                0.992
          TLI                                0.988

Loglikelihood

          H0 Value                      -43554.312
          H1 Value                      -43515.439

Information Criteria

          Number of Free Parameters             42
          Akaike (AIC)                   87192.624
          Bayesian (BIC)                 87467.977
          Sample-Size Adjusted BIC       87334.515
            (n* = (n + 2) / 24)

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.021
          90 Percent C.I.                    0.016  0.027
          Probability RMSEA <= .05           1.000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.011
          Value for Between                  0.029



MODEL RESULTS

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

Within Level

 FW       BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 1.036      0.020     50.806      0.000
    Y8                 0.680      0.022     30.711      0.000
    Y9                 1.020      0.031     33.384      0.000

 FW       ON
    X1                 0.251      0.015     16.877      0.000
    X2                 0.047      0.026      1.826      0.068

 X2       WITH
    X1                 0.017      0.006      2.673      0.008

 Variances
    X1                 0.788      0.016     49.815      0.000
    X2                 0.246      0.005     49.815      0.000

 Residual Variances
    Y6                 0.334      0.014     23.810      0.000
    Y7                 0.264      0.014     18.563      0.000
    Y8                 1.345      0.028     47.602      0.000
    Y9                 2.481      0.053     47.096      0.000
    FW                 0.707      0.023     31.170      0.000

Between Level

 FB       BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 1.077      0.033     32.462      0.000
    Y8                 0.605      0.044     13.642      0.000
    Y9                 1.122      0.061     18.310      0.000

 FB       ON
    X1                 0.582      0.047     12.428      0.000
    X2                 0.000      0.000    999.000    999.000
    X3                -0.070      0.013     -5.244      0.000
    X4                -0.193      0.062     -3.129      0.002

 X4       WITH
    X3                -0.364      0.057     -6.382      0.000

 X1       WITH
    X3                -0.880      0.109     -8.104      0.000
    X4                 0.108      0.018      6.024      0.000

 X2       WITH
    X3                -0.002      0.017     -0.105      0.916
    X4                -0.001      0.003     -0.289      0.772
    X1                 0.001      0.005      0.189      0.850

 Means
    X3                 4.630      0.138     33.620      0.000
    X4                 1.170      0.025     47.631      0.000
    X1                 2.365      0.044     54.184      0.000
    X2                 0.492      0.008     62.152      0.000

 Intercepts
    Y6                 1.652      0.165     10.005      0.000
    Y7                 1.715      0.177      9.683      0.000
    Y8                 1.659      0.107     15.488      0.000
    Y9                 1.999      0.191     10.479      0.000

 Variances
    X3                 4.456      0.411     10.840      0.000
    X4                 0.142      0.013     10.840      0.000
    X1                 0.412      0.041      9.975      0.000
    X2                 0.004      0.001      2.598      0.009

 Residual Variances
    Y6                 0.013      0.004      2.995      0.003
    Y7                 0.010      0.004      2.328      0.020
    Y8                 0.033      0.009      3.619      0.000
    Y9                 0.050      0.016      3.081      0.002
    FB                 0.050      0.009      5.543      0.000


STANDARDIZED MODEL RESULTS

                      StdYX        Std
                    Estimate   Estimate

Within Level

 FW       BY
    Y6                 0.833      0.871
    Y7                 0.869      0.902
    Y8                 0.454      0.592
    Y9                 0.491      0.888

 FW       ON
    X1                 0.256      0.289
    X2                 0.027      0.054

 X2       WITH
    X1                 0.038      0.017

 Variances
    X1                 1.000      0.788
    X2                 1.000      0.246

 Residual Variances
    Y6                 0.306      0.334
    Y7                 0.245      0.264
    Y8                 0.793      1.345
    Y9                 0.759      2.481
    FW                 0.933      0.933

Between Level

 FB       BY
    Y6                 0.975      0.504
    Y7                 0.983      0.543
    Y8                 0.859      0.605
    Y9                 0.930      1.122

 FB       ON
    X1                 0.742      1.156
    X2                 0.000      0.000
    X3                -0.292     -0.138
    X4                -0.144     -0.383

 X4       WITH
    X3                -0.458     -0.364

 X1       WITH
    X3                -0.649     -0.880
    X4                 0.445      0.108

 X2       WITH
    X3                -0.014     -0.002
    X4                -0.038     -0.001
    X1                 0.026      0.001

 Means
    X3                 2.193      4.630
    X4                 3.107      1.170
    X1                 3.684      2.365
    X2                 8.227      0.492

 Intercepts
    Y6                 3.199      1.652
    Y7                 3.109      1.715
    Y8                 4.675      1.659
    Y9                 3.287      1.999

 Variances
    X3                 1.000      4.456
    X4                 1.000      0.142
    X1                 1.000      0.412
    X2                 1.000      0.004

 Residual Variances
    Y6                 0.049      0.013
    Y7                 0.033      0.010
    Y8                 0.262      0.033
    Y9                 0.136      0.050
    FB                 0.196      0.196


R-SQUARE

Within Level

    Observed
    Variable        Estimate

    Y6                 0.694
    Y7                 0.755
    Y8                 0.207
    Y9                 0.241

     Latent
    Variable        Estimate

    FW                 0.067

Between Level

    Observed
    Variable        Estimate

    Y6                 0.951
    Y7                 0.967
    Y8                 0.738
    Y9                 0.864

     Latent
    Variable        Estimate

    FB                 0.804


     Beginning Time:  22:57:58
        Ending Time:  22:57:58
       Elapsed Time:  00:00:00



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