Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:58 PM

INPUT INSTRUCTIONS

  TITLE:
          cont12

          A 2-GROUP MIMIC model

          with specific across-group equality constraints
          applied to the factor residual variance
          and to the y residual variance

  DATA:
          FILE IS school.dat;

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

  !        relative to the input of wMimic1, x4 is moved
  !        from the USEV analysis variable list to the
  !        multiple-group definition below:

          GROUPING IS x4 (1 = groupA 2= groupB);

  ANALYSIS: TYPE = MEANSTRUCTURE;

  MODEL:

  !        with multiple-group analysis the statement MODEL: refers
  !        to the general model structure that holds for all groups
  !        which can then be modified by group-specific model
  !        statements. The default is measurement invariance for
  !        the y intercepts and the loadings.

          f BY y6-y9;

  !        the statement above refers to the measurement
  !        part of the model. The y6 loading is fixed to 1
  !        by default because y6 is the first variable in
  !        the BY statement list; the other loadings are free.
  !        The residuals are automatically included and are
  !        uncorrelated by default (a correlation betweeen
  !        the residuals of, say y6 and y9 is stated as
  !        y6 WITH y9).

          f ON x1-x3;

  !        the statement above refers to the structural part
  !        of the model. The residual is automatically included.
  !        The x variables are not modelled and their
  !        covariance matrix is held fixed at the sample values.

          f (1);

  !        the statement above constrains the residual factor variance
  !        to be equal across groups

          y6 (2); y7 (3); y8 (4); y9 (5);

  !        the statements above constrain the y residual variances
  !        to be equal across groups

  !        The intercept of y8 has been found not group-invariant
  !        in a previous analysis. In the current analysis
  !        the default invariance setting is therefore modified
  !        using the group 2 (typeB) model statement below

  MODEL groupB:

          [y8];

  !        the statement above lets the intercept of y8 differ
  !        across the 2 groups

  OUTPUT:  SAMPSTAT STANDARDIZED MODINDICES(0.0);




*** 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




cont12

A 2-GROUP MIMIC model

with specific across-group equality constraints
applied to the factor residual variance
and to the y residual variance

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
   Group GROUPA                                               4154
   Group GROUPB                                               1044

Number of dependent variables                                    4
Number of independent variables                                  3
Number of continuous latent variables                            1

Observed dependent variables

  Continuous
   Y6          Y7          Y8          Y9

Observed independent variables
   X1          X2          X3

Continuous latent variables
   F

Variables with special functions

  Grouping variable     X4

Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

Input data file(s)
  school.dat

Input data format  FREE


SAMPLE STATISTICS


     SAMPLE STATISTICS FOR GROUPA


           Means
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
      1         2.405         2.528         2.146         2.832         2.231


           Means
              X2            X3
              ________      ________
      1         0.493         4.960


           Covariances
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.376
 Y7             1.066         1.378
 Y8             0.687         0.689         1.825
 Y9             1.087         1.143         0.693         3.696
 X1             0.486         0.499         0.356         0.525         1.163
 X2             0.001         0.029         0.024         0.054         0.019
 X3            -0.586        -0.631        -0.419        -0.668        -0.716


           Covariances
              X2            X3
              ________      ________
 X2             0.250
 X3            -0.008         3.016


           Correlations
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.000
 Y7             0.775         1.000
 Y8             0.434         0.435         1.000
 Y9             0.482         0.506         0.267         1.000
 X1             0.384         0.394         0.244         0.253         1.000
 X2             0.001         0.049         0.035         0.056         0.036
 X3            -0.288        -0.309        -0.178        -0.200        -0.382


           Correlations
              X2            X3
              ________      ________
 X2             1.000
 X3            -0.010         1.000


     SAMPLE STATISTICS FOR GROUPB


           Means
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
      1         2.787         2.929         2.215         3.319         2.898


           Means
              X2            X3
              ________      ________
      1         0.488         2.492


           Covariances
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.172
 Y7             0.904         1.267
 Y8             0.585         0.690         1.793
 Y9             0.729         0.864         0.494         3.209
 X1             0.299         0.255         0.243         0.261         0.985
 X2             0.004         0.009         0.023         0.058         0.014
 X3            -0.560        -0.765        -0.451        -0.604        -0.198


           Covariances
              X2            X3
              ________      ________
 X2             0.250
 X3             0.014         5.760


           Correlations
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.000
 Y7             0.742         1.000
 Y8             0.404         0.458         1.000
 Y9             0.376         0.429         0.206         1.000
 X1             0.278         0.229         0.183         0.147         1.000
 X2             0.007         0.016         0.034         0.065         0.028
 X3            -0.215        -0.283        -0.140        -0.141        -0.083


           Correlations
              X2            X3
              ________      ________
 X2             1.000
 X3             0.011         1.000


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Chi-Square Test of Model Fit

          Value                             89.352
          Degrees of Freedom                    32
          P-Value                           0.0000

Chi-Square Contributions From Each Group

          GROUPA                            44.406
          GROUPB                            44.946

Chi-Square Test of Model Fit for the Baseline Model

          Value                           8638.602
          Degrees of Freedom                    36
          P-Value                           0.0000

CFI/TLI

          CFI                                0.993
          TLI                                0.992

Loglikelihood

          H0 Value                      -53339.849
          H1 Value                      -53295.173

Information Criteria

          Number of Free Parameters             20
          Akaike (AIC)                  106719.697
          Bayesian (BIC)                106850.818
          Sample-Size Adjusted BIC      106787.264
            (n* = (n + 2) / 24)

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.026
          90 Percent C.I.                    0.020  0.033
          Probability RMSEA <= .05           1.000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.021



MODEL RESULTS

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

Group GROUPA

 F        BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 1.053      0.016     67.787      0.000
    Y8                 0.673      0.019     35.974      0.000
    Y9                 1.050      0.026     40.823      0.000

 F        ON
    X1                 0.342      0.015     22.647      0.000
    X2                 0.047      0.029      1.609      0.108
    X3                -0.117      0.009    -12.714      0.000

 Intercepts
    Y6                 2.197      0.069     31.998      0.000
    Y7                 2.309      0.072     32.040      0.000
    Y8                 2.008      0.049     40.631      0.000
    Y9                 2.632      0.075     35.020      0.000
    F                  0.000      0.000    999.000    999.000

 Residual Variances
    Y6                 0.354      0.013     27.128      0.000
    Y7                 0.268      0.013     20.265      0.000
    Y8                 1.374      0.028     48.815      0.000
    Y9                 2.528      0.053     48.143      0.000
    F                  0.765      0.022     35.210      0.000

Group GROUPB

 F        BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 1.053      0.016     67.787      0.000
    Y8                 0.673      0.019     35.974      0.000
    Y9                 1.050      0.026     40.823      0.000

 F        ON
    X1                 0.251      0.030      8.430      0.000
    X2                 0.034      0.059      0.578      0.563
    X3                -0.105      0.012     -8.571      0.000

 Intercepts
    Y6                 2.197      0.069     31.998      0.000
    Y7                 2.309      0.072     32.040      0.000
    Y8                 1.816      0.060     30.265      0.000
    Y9                 2.632      0.075     35.020      0.000
    F                  0.111      0.122      0.907      0.364

 Residual Variances
    Y6                 0.354      0.013     27.128      0.000
    Y7                 0.268      0.013     20.265      0.000
    Y8                 1.374      0.028     48.815      0.000
    Y9                 2.528      0.053     48.143      0.000
    F                  0.765      0.022     35.210      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

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

Group GROUPA

 F        BY
    Y6                 0.860      0.006    143.027      0.000
    Y7                 0.897      0.006    159.379      0.000
    Y8                 0.498      0.012     43.237      0.000
    Y9                 0.551      0.011     51.809      0.000

 F        ON
    X1                 0.368      0.015     24.696      0.000
    X2                 0.024      0.015      1.609      0.108
    X3                -0.203      0.016    -12.997      0.000

 Intercepts
    Y6                 1.888      0.063     29.920      0.000
    Y7                 1.968      0.066     29.950      0.000
    Y8                 1.485      0.040     37.003      0.000
    Y9                 1.381      0.043     32.414      0.000
    F                  0.000      0.000    999.000    999.000

 Residual Variances
    Y6                 0.261      0.010     25.263      0.000
    Y7                 0.195      0.010     19.261      0.000
    Y8                 0.752      0.011     65.610      0.000
    Y9                 0.696      0.012     59.353      0.000
    F                  0.765      0.012     62.087      0.000

Group GROUPB

 F        BY
    Y6                 0.848      0.007    123.429      0.000
    Y7                 0.888      0.006    138.252      0.000
    Y8                 0.478      0.012     39.826      0.000
    Y9                 0.531      0.011     46.938      0.000

 F        ON
    X1                 0.262      0.030      8.875      0.000
    X2                 0.018      0.031      0.578      0.563
    X3                -0.266      0.030     -9.000      0.000

 Intercepts
    Y6                 1.961      0.066     29.600      0.000
    Y7                 2.051      0.070     29.488      0.000
    Y8                 1.360      0.048     28.285      0.000
    Y9                 1.402      0.043     32.554      0.000
    F                  0.117      0.129      0.904      0.366

 Residual Variances
    Y6                 0.282      0.012     24.194      0.000
    Y7                 0.212      0.011     18.542      0.000
    Y8                 0.771      0.011     67.066      0.000
    Y9                 0.718      0.012     59.673      0.000
    F                  0.849      0.021     39.781      0.000


STDY Standardization

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

Group GROUPA

 F        BY
    Y6                 0.860      0.006    143.027      0.000
    Y7                 0.897      0.006    159.379      0.000
    Y8                 0.498      0.012     43.237      0.000
    Y9                 0.551      0.011     51.809      0.000

 F        ON
    X1                 0.342      0.014     25.259      0.000
    X2                 0.047      0.029      1.609      0.108
    X3                -0.117      0.009    -13.099      0.000

 Intercepts
    Y6                 1.888      0.063     29.920      0.000
    Y7                 1.968      0.066     29.950      0.000
    Y8                 1.485      0.040     37.003      0.000
    Y9                 1.381      0.043     32.414      0.000
    F                  0.000      0.000    999.000    999.000

 Residual Variances
    Y6                 0.261      0.010     25.263      0.000
    Y7                 0.195      0.010     19.261      0.000
    Y8                 0.752      0.011     65.610      0.000
    Y9                 0.696      0.012     59.353      0.000
    F                  0.765      0.012     62.087      0.000

Group GROUPB

 F        BY
    Y6                 0.848      0.007    123.429      0.000
    Y7                 0.888      0.006    138.252      0.000
    Y8                 0.478      0.012     39.826      0.000
    Y9                 0.531      0.011     46.938      0.000

 F        ON
    X1                 0.264      0.029      9.018      0.000
    X2                 0.036      0.062      0.578      0.563
    X3                -0.111      0.012     -9.150      0.000

 Intercepts
    Y6                 1.961      0.066     29.600      0.000
    Y7                 2.051      0.070     29.488      0.000
    Y8                 1.360      0.048     28.285      0.000
    Y9                 1.402      0.043     32.554      0.000
    F                  0.117      0.129      0.904      0.366

 Residual Variances
    Y6                 0.282      0.012     24.194      0.000
    Y7                 0.212      0.011     18.542      0.000
    Y8                 0.771      0.011     67.066      0.000
    Y9                 0.718      0.012     59.673      0.000
    F                  0.849      0.021     39.781      0.000


STD Standardization

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

Group GROUPA

 F        BY
    Y6                 1.000      0.014     69.702      0.000
    Y7                 1.053      0.014     73.768      0.000
    Y8                 0.673      0.019     35.656      0.000
    Y9                 1.050      0.026     40.569      0.000

 F        ON
    X1                 0.342      0.014     25.259      0.000
    X2                 0.047      0.029      1.609      0.108
    X3                -0.117      0.009    -13.099      0.000

 Intercepts
    Y6                 2.197      0.069     31.998      0.000
    Y7                 2.309      0.072     32.040      0.000
    Y8                 2.008      0.049     40.631      0.000
    Y9                 2.632      0.075     35.020      0.000
    F                  0.000      0.000    999.000    999.000

 Residual Variances
    Y6                 0.354      0.013     27.128      0.000
    Y7                 0.268      0.013     20.265      0.000
    Y8                 1.374      0.028     48.815      0.000
    Y9                 2.528      0.053     48.143      0.000
    F                  0.765      0.012     62.087      0.000

Group GROUPB

 F        BY
    Y6                 0.950      0.017     55.932      0.000
    Y7                 1.000      0.017     57.557      0.000
    Y8                 0.639      0.019     33.305      0.000
    Y9                 0.997      0.027     37.247      0.000

 F        ON
    X1                 0.264      0.029      9.018      0.000
    X2                 0.036      0.062      0.578      0.563
    X3                -0.111      0.012     -9.150      0.000

 Intercepts
    Y6                 2.197      0.069     31.998      0.000
    Y7                 2.309      0.072     32.040      0.000
    Y8                 1.816      0.060     30.265      0.000
    Y9                 2.632      0.075     35.020      0.000
    F                  0.117      0.129      0.904      0.366

 Residual Variances
    Y6                 0.354      0.013     27.128      0.000
    Y7                 0.268      0.013     20.265      0.000
    Y8                 1.374      0.028     48.815      0.000
    Y9                 2.528      0.053     48.143      0.000
    F                  0.849      0.021     39.781      0.000


R-SQUARE

Group GROUPA

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

    Y6                 0.739      0.010     71.513      0.000
    Y7                 0.805      0.010     79.690      0.000
    Y8                 0.248      0.011     21.619      0.000
    Y9                 0.304      0.012     25.905      0.000

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

    F                  0.235      0.012     19.109      0.000

Group GROUPB

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

    Y6                 0.718      0.012     61.714      0.000
    Y7                 0.788      0.011     69.126      0.000
    Y8                 0.229      0.011     19.913      0.000
    Y9                 0.282      0.012     23.469      0.000

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

    F                  0.151      0.021      7.099      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.278E-03
       (ratio of smallest to largest eigenvalue)


MODEL MODIFICATION INDICES

NOTE:  Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included.  To include these, request
MODINDICES (ALL).

Minimum M.I. value for printing the modification index     0.000

                            M.I.     E.P.C.  Std E.P.C.  StdYX E.P.C.
Group GROUPA


BY Statements

F        BY Y6              3.778     0.046      0.046        0.040
F        BY Y7              1.489    -0.007     -0.007       -0.006
F        BY Y8              1.359    -0.010     -0.010       -0.007
F        BY Y9              3.092     0.021      0.021        0.011

ON/BY Statements

F        ON F        /
F        BY F               1.524     0.035      0.035        0.035

WITH Statements

Y7       WITH Y6            0.490     0.009      0.009        0.031
Y8       WITH Y6            2.645     0.025      0.025        0.036
Y8       WITH Y7            6.042    -0.038     -0.038       -0.063
Y9       WITH Y6            0.059    -0.005     -0.005       -0.006
Y9       WITH Y7            1.059     0.023      0.023        0.028
Y9       WITH Y8            0.913    -0.029     -0.029       -0.016

Variances/Residual Variances

Y6                          0.002     0.000      0.000        0.000
Y7                          0.050    -0.001     -0.001       -0.001
Y8                          0.155     0.006      0.006        0.003
Y9                          0.103     0.008      0.008        0.002
F                           1.524     0.011      0.011        0.011

Means/Intercepts/Thresholds

[ Y6       ]                0.072     0.001      0.001        0.001
[ Y7       ]                0.224     0.001      0.001        0.001
[ Y9       ]                2.356    -0.015     -0.015       -0.008

Group GROUPB


BY Statements

F        BY Y6              3.779    -0.046     -0.044       -0.039
F        BY Y7              1.491     0.022      0.021        0.018
F        BY Y8              1.357     0.044      0.041        0.031
F        BY Y9              3.089    -0.075     -0.071       -0.038

ON/BY Statements

F        ON F        /
F        BY F               1.523    -0.035     -0.035       -0.035

WITH Statements

Y7       WITH Y6            0.019    -0.002     -0.002       -0.007
Y8       WITH Y6            0.944    -0.026     -0.026       -0.038
Y8       WITH Y7            4.501     0.057      0.057        0.093
Y9       WITH Y6            3.256    -0.067     -0.067       -0.071
Y9       WITH Y7            0.204     0.017      0.017        0.020
Y9       WITH Y8            1.978    -0.085     -0.085       -0.046

Variances/Residual Variances

Y6                          0.002    -0.001     -0.001       -0.001
Y7                          0.050     0.004      0.004        0.003
Y8                          0.155    -0.022     -0.022       -0.012
Y9                          0.103    -0.033     -0.033       -0.009
F                           1.523    -0.043     -0.048       -0.048

Means/Intercepts/Thresholds

[ Y6       ]                0.072    -0.006     -0.006       -0.006
[ Y7       ]                0.222    -0.012     -0.012       -0.011
[ Y9       ]                2.357     0.073      0.073        0.039



     Beginning Time:  22:58:06
        Ending Time:  22:58:06
       Elapsed Time:  00:00:00



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