Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:08 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a real data analysis
  	of a CFA with covariates (MIMIC) for
  	continuous factor indicators where the
  	parameter estimates are saved for use in a
  	Monte Carlo simulation study	
  DATA:	FILE = ex12.7real.dat;
  VARIABLE:	NAMES = y1-y10 x1 x2;
  MODEL:	f1 BY y1@1 y2-y5*1;
  	f2 BY y6@1 y7-y10*1;
  	f1-f2*.5;
  	f1 WITH f2*.25;
  	y1-y5*.5;
  	[y1-y5*1];
  	y6-y10*.75;
  	[y6-y10*2];
  	f1 ON x1*.3 x2*.5;
  	f2 ON x1*.5 x2*.3;
  OUTPUT:	TECH1;
  SAVEDATA:	ESTIMATES = ex12.7estimates.dat;



INPUT READING TERMINATED NORMALLY



this is an example of a real data analysis
of a CFA with covariates (MIMIC) for
continuous factor indicators where the
parameter estimates are saved for use in a
Monte Carlo simulation study

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                   10
Number of independent variables                                  2
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10

Observed independent variables
   X1          X2

Continuous latent variables
   F1          F2


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)
  ex12.7real.dat

Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y1                    1.843       0.006      -1.541    0.20%       0.869      1.559      1.797
             500.000       1.373      -0.158       5.550    0.20%       2.125      2.884
     Y2                    1.805       0.005      -1.249    0.20%       0.702      1.442      1.835
             500.000       1.578      -0.422       5.134    0.20%       2.197      2.914
     Y3                    1.830       0.044      -1.519    0.20%       0.818      1.474      1.783
             500.000       1.530      -0.065       5.735    0.20%       2.064      2.931
     Y4                    1.849       0.058      -1.671    0.20%       0.842      1.497      1.758
             500.000       1.543      -0.248       5.407    0.20%       2.150      2.940
     Y5                    1.888       0.023      -2.169    0.20%       0.817      1.611      1.845
             500.000       1.487      -0.082       5.740    0.20%       2.210      2.979
     Y6                    2.790      -0.053      -1.246    0.20%       1.633      2.401      2.821
             500.000       1.954      -0.105       6.962    0.20%       3.159      3.956
     Y7                    2.776       0.016      -1.520    0.20%       1.564      2.467      2.859
             500.000       2.031       0.526       8.366    0.20%       3.192      3.919
     Y8                    2.833       0.059      -1.837    0.20%       1.615      2.580      2.931
             500.000       1.780       0.185       7.992    0.20%       3.246      3.947
     Y9                    2.799      -0.003      -1.485    0.20%       1.570      2.513      2.762
             500.000       2.018       0.061       7.045    0.20%       3.137      3.996
     Y10                   2.818      -0.047      -1.054    0.20%       1.581      2.530      2.885
             500.000       1.890      -0.289       6.377    0.20%       3.141      3.950
     X1                    1.023       0.104      -3.607    0.20%      -0.258      0.640      1.049
             500.000       2.030      -0.011       5.706    0.20%       1.364      2.210
     X2                    1.042      -0.130      -3.170    0.20%      -0.033      0.717      1.052
             500.000       1.719      -0.020       4.740    0.20%       1.316      2.147


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       35

Loglikelihood

          H0 Value                       -6588.596
          H1 Value                       -6562.418

Information Criteria

          Akaike (AIC)                   13247.192
          Bayesian (BIC)                 13394.704
          Sample-Size Adjusted BIC       13283.612
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             52.356
          Degrees of Freedom                    50
          P-Value                           0.3827

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.010
          90 Percent C.I.                    0.000  0.031
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                0.999
          TLI                                0.999

Chi-Square Test of Model Fit for the Baseline Model

          Value                           3726.170
          Degrees of Freedom                    65
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.021



MODEL RESULTS

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

 F1       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.074      0.052     20.772      0.000
    Y3                 1.113      0.050     22.332      0.000
    Y4                 1.059      0.051     20.801      0.000
    Y5                 1.067      0.050     21.528      0.000

 F2       BY
    Y6                 1.000      0.000    999.000    999.000
    Y7                 1.081      0.056     19.181      0.000
    Y8                 0.943      0.054     17.560      0.000
    Y9                 1.047      0.057     18.458      0.000
    Y10                1.008      0.055     18.332      0.000

 F1       ON
    X1                 0.262      0.023     11.130      0.000
    X2                 0.459      0.028     16.524      0.000

 F2       ON
    X1                 0.482      0.031     15.488      0.000
    X2                 0.295      0.030      9.698      0.000

 F1       WITH
    F2                 0.205      0.029      7.013      0.000

 Intercepts
    Y1                 1.097      0.059     18.721      0.000
    Y2                 1.004      0.063     16.017      0.000
    Y3                 0.999      0.061     16.482      0.000
    Y4                 1.059      0.062     17.089      0.000
    Y5                 1.092      0.060     18.094      0.000
    Y6                 1.991      0.071     27.851      0.000
    Y7                 1.912      0.072     26.576      0.000
    Y8                 2.079      0.068     30.442      0.000
    Y9                 1.961      0.072     27.271      0.000
    Y10                2.013      0.070     28.836      0.000

 Residual Variances
    Y1                 0.469      0.035     13.297      0.000
    Y2                 0.535      0.040     13.275      0.000
    Y3                 0.410      0.033     12.239      0.000
    Y4                 0.529      0.040     13.314      0.000
    Y5                 0.458      0.036     12.885      0.000
    Y6                 0.794      0.059     13.390      0.000
    Y7                 0.675      0.054     12.414      0.000
    Y8                 0.749      0.055     13.525      0.000
    Y9                 0.744      0.058     12.918      0.000
    Y10                0.712      0.055     13.030      0.000
    F1                 0.407      0.040     10.195      0.000
    F2                 0.546      0.059      9.282      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.888E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                  1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
                  6             7             8             9            10


           NU
              X1            X2
              ________      ________
                  0             0


           LAMBDA
              F1            F2            X1            X2
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                11             0             0             0
 Y3                12             0             0             0
 Y4                13             0             0             0
 Y5                14             0             0             0
 Y6                 0             0             0             0
 Y7                 0            15             0             0
 Y8                 0            16             0             0
 Y9                 0            17             0             0
 Y10                0            18             0             0
 X1                 0             0             0             0
 X2                 0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                19
 Y2                 0            20
 Y3                 0             0            21
 Y4                 0             0             0            22
 Y5                 0             0             0             0            23
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                24
 Y7                 0            25
 Y8                 0             0            26
 Y9                 0             0             0            27
 Y10                0             0             0             0            28
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0


           THETA
              X1            X2
              ________      ________
 X1                 0
 X2                 0             0


           ALPHA
              F1            F2            X1            X2
              ________      ________      ________      ________
                  0             0             0             0


           BETA
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1                 0             0            29            30
 F2                 0             0            31            32
 X1                 0             0             0             0
 X2                 0             0             0             0


           PSI
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1                33
 F2                34            35
 X1                 0             0             0
 X2                 0             0             0             0


     STARTING VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                1.000         1.000         1.000         1.000         1.000


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
                2.000         2.000         2.000         2.000         2.000


           NU
              X1            X2
              ________      ________
                0.000         0.000


           LAMBDA
              F1            F2            X1            X2
              ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000
 Y2             1.072         0.000         0.000         0.000
 Y3             1.109         0.000         0.000         0.000
 Y4             1.064         0.000         0.000         0.000
 Y5             1.070         0.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000
 Y7             0.000         1.073         0.000         0.000
 Y8             0.000         0.938         0.000         0.000
 Y9             0.000         1.049         0.000         0.000
 Y10            0.000         1.006         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 Y5             0.000         0.000         0.000         0.000         0.500
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.750
 Y7             0.000         0.750
 Y8             0.000         0.000         0.750
 Y9             0.000         0.000         0.000         0.750
 Y10            0.000         0.000         0.000         0.000         0.750
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              X1            X2
              ________      ________
 X1             0.000
 X2             0.000         0.000


           ALPHA
              F1            F2            X1            X2
              ________      ________      ________      ________
                0.000         0.000         1.023         1.042


           BETA
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.000         0.000         0.300         0.500
 F2             0.000         0.000         0.500         0.300
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000


           PSI
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.500
 F2             0.250         0.500
 X1             0.000         0.000         2.030
 X2             0.000         0.000        -0.021         1.719


SAVEDATA INFORMATION


  Estimates

  Save file
    ex12.7estimates.dat
  Save format      Free

     Beginning Time:  23:08:53
        Ending Time:  23:08:54
       Elapsed Time:  00:00:01



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2022 Muthen & Muthen

Back to examples