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

INPUT INSTRUCTIONS

  TITLE:
          cont13

          A MIMIC model
          with equality of loadings

  DATA:
          FILE IS school.dat;

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

  ANALYSIS:

  MODEL:
          f BY y6@1
                  y7-y9 (1);

  !        the statement above refers to the measurement
  !        part of the model. The y6 loading is fixed to 1; the
  !        other 3 loadings are constrained to be equal using "(#)".
  !        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-x4;

  !        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.

  OUTPUT:  SAMPSTAT STANDARDIZED MODINDICES(0.0);




INPUT READING TERMINATED NORMALLY




cont13

A MIMIC model
with equality of loadings

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                            1

Observed dependent variables

  Continuous
   Y6          Y7          Y8          Y9

Observed independent variables
   X1          X2          X3          X4

Continuous latent variables
   F


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


           Means
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
      1         2.482         2.608         2.160         2.930         2.365


           Means
              X2            X3            X4
              ________      ________      ________
      1         0.492         4.464         1.201


           Covariances
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.358
 Y7             1.058         1.381
 Y8             0.671         0.694         1.819
 Y9             1.045         1.118         0.658         3.636
 X1             0.489         0.493         0.341         0.524         1.198
 X2             0.001         0.025         0.024         0.054         0.018
 X3            -0.732        -0.816        -0.452        -0.848        -0.876
 X4             0.061         0.064         0.011         0.078         0.107


           Covariances
              X2            X3            X4
              ________      ________      ________
 X2             0.250
 X3            -0.002         4.544
 X4            -0.001        -0.396         0.161


           Correlations
              Y6            Y7            Y8            Y9            X1
              ________      ________      ________      ________      ________
 Y6             1.000
 Y7             0.773         1.000
 Y8             0.427         0.438         1.000
 Y9             0.470         0.499         0.256         1.000
 X1             0.383         0.383         0.231         0.251         1.000
 X2             0.002         0.042         0.035         0.057         0.032
 X3            -0.295        -0.326        -0.157        -0.209        -0.375
 X4             0.131         0.137         0.020         0.102         0.244


           Correlations
              X2            X3            X4
              ________      ________      ________
 X2             1.000
 X3            -0.002         1.000
 X4            -0.004        -0.464         1.000


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Chi-Square Test of Model Fit

          Value                            474.850
          Degrees of Freedom                    16
          P-Value                           0.0000

Chi-Square Test of Model Fit for the Baseline Model

          Value                           8864.002
          Degrees of Freedom                    22
          P-Value                           0.0000

CFI/TLI

          CFI                                0.948
          TLI                                0.929

Loglikelihood

          H0 Value                      -56356.077
          H1 Value                      -56118.652

Information Criteria

          Number of Free Parameters             14
          Akaike (AIC)                  112740.155
          Bayesian (BIC)                112831.939
          Sample-Size Adjusted BIC      112787.452
            (n* = (n + 2) / 24)

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.074
          90 Percent C.I.                    0.069  0.080
          Probability RMSEA <= .05           0.000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.065



MODEL RESULTS

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

 F        BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 0.946      0.013     70.630      0.000
    Y8                 0.946      0.013     70.630      0.000
    Y9                 0.946      0.013     70.630      0.000

 F        ON
    X1                 0.338      0.014     24.922      0.000
    X2                 0.038      0.027      1.420      0.156
    X3                -0.115      0.008    -15.351      0.000
    X4                -0.134      0.038     -3.507      0.000

 Intercepts
    Y6                 2.338      0.079     29.604      0.000
    Y7                 2.473      0.075     33.075      0.000
    Y8                 2.025      0.076     26.601      0.000
    Y9                 2.794      0.078     36.029      0.000

 Residual Variances
    Y6                 0.315      0.012     25.246      0.000
    Y7                 0.341      0.012     28.337      0.000
    Y8                 1.404      0.030     46.496      0.000
    Y9                 2.560      0.053     48.554      0.000
    F                  0.795      0.022     35.712      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

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

 F        BY
    Y6                 0.876      0.006    157.071      0.000
    Y7                 0.856      0.006    146.142      0.000
    Y8                 0.632      0.006    101.521      0.000
    Y9                 0.517      0.007     79.159      0.000

 F        ON
    X1                 0.362      0.014     26.799      0.000
    X2                 0.019      0.013      1.419      0.156
    X3                -0.241      0.015    -15.661      0.000
    X4                -0.052      0.015     -3.510      0.000

 Intercepts
    Y6                 2.006      0.071     28.211      0.000
    Y7                 2.190      0.070     31.400      0.000
    Y8                 1.324      0.051     25.826      0.000
    Y9                 1.495      0.043     34.494      0.000

 Residual Variances
    Y6                 0.232      0.010     23.735      0.000
    Y7                 0.267      0.010     26.682      0.000
    Y8                 0.601      0.008     76.347      0.000
    Y9                 0.733      0.007    108.564      0.000
    F                  0.763      0.011     67.669      0.000


STDY Standardization

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

 F        BY
    Y6                 0.876      0.006    157.071      0.000
    Y7                 0.856      0.006    146.142      0.000
    Y8                 0.632      0.006    101.521      0.000
    Y9                 0.517      0.007     79.159      0.000

 F        ON
    X1                 0.331      0.012     27.384      0.000
    X2                 0.038      0.026      1.420      0.156
    X3                -0.113      0.007    -15.802      0.000
    X4                -0.131      0.037     -3.512      0.000

 Intercepts
    Y6                 2.006      0.071     28.211      0.000
    Y7                 2.190      0.070     31.400      0.000
    Y8                 1.324      0.051     25.826      0.000
    Y9                 1.495      0.043     34.494      0.000

 Residual Variances
    Y6                 0.232      0.010     23.735      0.000
    Y7                 0.267      0.010     26.682      0.000
    Y8                 0.601      0.008     76.347      0.000
    Y9                 0.733      0.007    108.564      0.000
    F                  0.763      0.011     67.669      0.000


STD Standardization

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

 F        BY
    Y6                 1.021      0.014     74.253      0.000
    Y7                 0.966      0.013     75.287      0.000
    Y8                 0.966      0.013     75.287      0.000
    Y9                 0.966      0.013     75.287      0.000

 F        ON
    X1                 0.331      0.012     27.384      0.000
    X2                 0.038      0.026      1.420      0.156
    X3                -0.113      0.007    -15.802      0.000
    X4                -0.131      0.037     -3.512      0.000

 Intercepts
    Y6                 2.338      0.079     29.604      0.000
    Y7                 2.473      0.075     33.075      0.000
    Y8                 2.025      0.076     26.601      0.000
    Y9                 2.794      0.078     36.029      0.000

 Residual Variances
    Y6                 0.315      0.012     25.246      0.000
    Y7                 0.341      0.012     28.337      0.000
    Y8                 1.404      0.030     46.496      0.000
    Y9                 2.560      0.053     48.554      0.000
    F                  0.763      0.011     67.669      0.000


R-SQUARE

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

    Y6                 0.768      0.010     78.536      0.000
    Y7                 0.733      0.010     73.071      0.000
    Y8                 0.399      0.008     50.760      0.000
    Y9                 0.267      0.007     39.580      0.000

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

    F                  0.237      0.011     21.069      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.341E-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.

BY Statements

F        BY Y7            212.738     0.089      0.090        0.080
F        BY Y8            392.095    -0.297     -0.304       -0.199
F        BY Y9             14.350     0.082      0.084        0.045

WITH Statements

Y7       WITH Y6          115.928     0.158      0.158        0.483
Y8       WITH Y6           55.623    -0.113     -0.113       -0.170
Y8       WITH Y7           36.408    -0.098     -0.098       -0.142
Y9       WITH Y6            3.993    -0.036     -0.036       -0.040
Y9       WITH Y7           43.226     0.121      0.121        0.129
Y9       WITH Y8           12.758    -0.101     -0.101       -0.053


     Beginning Time:  22:58:07
        Ending Time:  22:58:07
       Elapsed Time:  00:00:00



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