Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:51 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of an exploratory factor
  		analysis with continuous factor indicators
  		using exploratory structural equation modeling (ESEM)
  DATA:		FILE IS ex4.1b.dat;
  VARIABLE:	NAMES ARE y1-y12;
  MODEL:	f1-f4 BY y1-y12 (*1);
  OUTPUT:	MODINDICES standardized;



INPUT READING TERMINATED NORMALLY



this is an example of an exploratory factor
analysis with continuous factor indicators
using exploratory structural equation modeling (ESEM)

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                   12
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10         Y11         Y12

Continuous latent variables

  EFA factors
  *1:   F1          F2          F3          F4


Estimator                                                       ML
Rotation                                                    GEOMIN
Row standardization                                    CORRELATION
Type of rotation                                           OBLIQUE
Epsilon value                                               Varies
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Optimization Specifications for the Exploratory Factor Analysis
Rotation Algorithm
  Number of random starts                                       30
  Maximum number of iterations                               10000
  Derivative convergence criterion                       0.100D-04

Input data file(s)
  ex4.1b.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       66

Loglikelihood

          H0 Value                       -7869.377
          H1 Value                       -7856.478

Information Criteria

          Akaike (AIC)                   15870.755
          Bayesian (BIC)                 16148.919
          Sample-Size Adjusted BIC       15939.431
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             25.799
          Degrees of Freedom                    24
          P-Value                           0.3635

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.012
          90 Percent C.I.                    0.000  0.039
          Probability RMSEA <= .05           0.995

CFI/TLI

          CFI                                0.999
          TLI                                0.996

Chi-Square Test of Model Fit for the Baseline Model

          Value                           1436.819
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.012



MODEL RESULTS

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

 F1       BY
    Y1                 0.623      0.047     13.161      0.000
    Y2                 0.814      0.051     15.928      0.000
    Y3                 0.618      0.048     12.964      0.000
    Y4                 0.027      0.034      0.799      0.424
    Y5                -0.029      0.028     -1.034      0.301
    Y6                 0.011      0.031      0.348      0.728
    Y7                -0.006      0.025     -0.244      0.808
    Y8                -0.039      0.030     -1.310      0.190
    Y9                 0.047      0.032      1.475      0.140
    Y10               -0.040      0.034     -1.154      0.248
    Y11                0.004      0.024      0.160      0.873
    Y12                0.035      0.034      1.049      0.294

 F2       BY
    Y1                 0.008      0.031      0.261      0.794
    Y2                 0.022      0.025      0.869      0.385
    Y3                -0.041      0.036     -1.134      0.257
    Y4                 0.652      0.049     13.210      0.000
    Y5                 0.756      0.050     15.029      0.000
    Y6                 0.697      0.051     13.695      0.000
    Y7                 0.003      0.030      0.101      0.919
    Y8                 0.002      0.029      0.066      0.948
    Y9                -0.007      0.030     -0.227      0.821
    Y10                0.007      0.032      0.216      0.829
    Y11                0.014      0.027      0.524      0.600
    Y12               -0.037      0.036     -1.023      0.306

 F3       BY
    Y1                 0.073      0.038      1.906      0.057
    Y2                -0.005      0.015     -0.319      0.750
    Y3                -0.057      0.036     -1.599      0.110
    Y4                -0.002      0.031     -0.077      0.939
    Y5                -0.023      0.027     -0.872      0.383
    Y6                 0.031      0.034      0.932      0.351
    Y7                 0.745      0.047     15.878      0.000
    Y8                 0.724      0.046     15.747      0.000
    Y9                 0.689      0.045     15.316      0.000
    Y10               -0.010      0.032     -0.314      0.753
    Y11                0.001      0.027      0.038      0.969
    Y12                0.009      0.032      0.264      0.792

 F4       BY
    Y1                -0.021      0.031     -0.674      0.500
    Y2                 0.041      0.028      1.459      0.145
    Y3                -0.027      0.032     -0.862      0.389
    Y4                -0.018      0.034     -0.537      0.591
    Y5                 0.016      0.027      0.613      0.540
    Y6                -0.012      0.032     -0.376      0.707
    Y7                 0.018      0.030      0.607      0.544
    Y8                -0.016      0.029     -0.562      0.574
    Y9                -0.001      0.028     -0.043      0.966
    Y10                0.740      0.050     14.656      0.000
    Y11                0.829      0.050     16.532      0.000
    Y12                0.670      0.048     14.020      0.000

 F2       WITH
    F1                -0.039      0.057     -0.682      0.495

 F3       WITH
    F1                 0.007      0.055      0.130      0.896
    F2                 0.029      0.057      0.521      0.602

 F4       WITH
    F1                -0.002      0.056     -0.031      0.976
    F2                -0.121      0.056     -2.151      0.031
    F3                -0.028      0.056     -0.496      0.620

 Intercepts
    Y1                 0.008      0.044      0.183      0.855
    Y2                 0.033      0.045      0.741      0.459
    Y3                 0.003      0.044      0.072      0.942
    Y4                 0.073      0.045      1.627      0.104
    Y5                 0.063      0.044      1.423      0.155
    Y6                 0.062      0.046      1.344      0.179
    Y7                -0.004      0.045     -0.077      0.939
    Y8                 0.009      0.045      0.203      0.839
    Y9                 0.021      0.044      0.478      0.633
    Y10               -0.037      0.048     -0.771      0.441
    Y11                0.002      0.047      0.034      0.973
    Y12               -0.002      0.046     -0.052      0.958

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000
    F3                 1.000      0.000    999.000    999.000
    F4                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.564      0.049     11.500      0.000
    Y2                 0.352      0.062      5.706      0.000
    Y3                 0.569      0.049     11.516      0.000
    Y4                 0.592      0.052     11.336      0.000
    Y5                 0.419      0.056      7.455      0.000
    Y6                 0.581      0.056     10.453      0.000
    Y7                 0.476      0.049      9.632      0.000
    Y8                 0.467      0.047      9.836      0.000
    Y9                 0.474      0.045     10.495      0.000
    Y10                0.594      0.056     10.644      0.000
    Y11                0.413      0.058      7.147      0.000
    Y12                0.580      0.050     11.621      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

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

 F1       BY
    Y1                 0.637      0.038     16.648      0.000
    Y2                 0.808      0.038     21.069      0.000
    Y3                 0.631      0.039     16.283      0.000
    Y4                 0.027      0.033      0.800      0.424
    Y5                -0.029      0.028     -1.034      0.301
    Y6                 0.010      0.030      0.348      0.728
    Y7                -0.006      0.024     -0.244      0.808
    Y8                -0.040      0.030     -1.310      0.190
    Y9                 0.049      0.033      1.476      0.140
    Y10               -0.037      0.032     -1.155      0.248
    Y11                0.004      0.023      0.160      0.873
    Y12                0.035      0.033      1.049      0.294

 F2       BY
    Y1                 0.008      0.032      0.261      0.794
    Y2                 0.022      0.025      0.869      0.385
    Y3                -0.042      0.037     -1.135      0.256
    Y4                 0.646      0.039     16.735      0.000
    Y5                 0.760      0.039     19.673      0.000
    Y6                 0.674      0.038     17.545      0.000
    Y7                 0.003      0.029      0.101      0.919
    Y8                 0.002      0.029      0.066      0.948
    Y9                -0.007      0.030     -0.227      0.821
    Y10                0.006      0.030      0.216      0.829
    Y11                0.013      0.026      0.524      0.600
    Y12               -0.036      0.035     -1.023      0.306

 F3       BY
    Y1                 0.074      0.039      1.909      0.056
    Y2                -0.005      0.015     -0.319      0.750
    Y3                -0.058      0.036     -1.602      0.109
    Y4                -0.002      0.031     -0.077      0.939
    Y5                -0.023      0.027     -0.872      0.383
    Y6                 0.030      0.033      0.932      0.351
    Y7                 0.734      0.033     22.121      0.000
    Y8                 0.727      0.033     21.838      0.000
    Y9                 0.707      0.034     20.985      0.000
    Y10               -0.010      0.030     -0.314      0.753
    Y11                0.001      0.026      0.038      0.969
    Y12                0.008      0.032      0.264      0.792

 F4       BY
    Y1                -0.021      0.031     -0.674      0.500
    Y2                 0.041      0.028      1.459      0.144
    Y3                -0.028      0.032     -0.862      0.389
    Y4                -0.018      0.033     -0.537      0.591
    Y5                 0.017      0.027      0.613      0.540
    Y6                -0.012      0.031     -0.376      0.707
    Y7                 0.018      0.029      0.607      0.544
    Y8                -0.016      0.029     -0.562      0.574
    Y9                -0.001      0.029     -0.043      0.966
    Y10                0.692      0.035     19.541      0.000
    Y11                0.791      0.035     22.901      0.000
    Y12                0.658      0.036     18.342      0.000

 F2       WITH
    F1                -0.039      0.057     -0.682      0.495

 F3       WITH
    F1                 0.007      0.055      0.130      0.896
    F2                 0.029      0.057      0.521      0.602

 F4       WITH
    F1                -0.002      0.056     -0.031      0.976
    F2                -0.121      0.056     -2.151      0.031
    F3                -0.028      0.056     -0.496      0.620

 Intercepts
    Y1                 0.008      0.045      0.183      0.855
    Y2                 0.033      0.045      0.741      0.459
    Y3                 0.003      0.045      0.072      0.942
    Y4                 0.073      0.045      1.625      0.104
    Y5                 0.064      0.045      1.421      0.155
    Y6                 0.060      0.045      1.343      0.179
    Y7                -0.003      0.045     -0.077      0.939
    Y8                 0.009      0.045      0.203      0.839
    Y9                 0.021      0.045      0.478      0.633
    Y10               -0.034      0.045     -0.771      0.441
    Y11                0.002      0.045      0.034      0.973
    Y12               -0.002      0.045     -0.052      0.958

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000
    F3                 1.000      0.000    999.000    999.000
    F4                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.588      0.049     12.075      0.000
    Y2                 0.346      0.062      5.595      0.000
    Y3                 0.594      0.049     12.138      0.000
    Y4                 0.581      0.049     11.838      0.000
    Y5                 0.424      0.058      7.332      0.000
    Y6                 0.543      0.051     10.653      0.000
    Y7                 0.462      0.049      9.499      0.000
    Y8                 0.470      0.048      9.723      0.000
    Y9                 0.498      0.047     10.486      0.000
    Y10                0.520      0.048     10.740      0.000
    Y11                0.376      0.054      6.973      0.000
    Y12                0.559      0.047     12.008      0.000


STDY Standardization

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

 F1       BY
    Y1                 0.637      0.038     16.648      0.000
    Y2                 0.808      0.038     21.069      0.000
    Y3                 0.631      0.039     16.283      0.000
    Y4                 0.027      0.033      0.800      0.424
    Y5                -0.029      0.028     -1.034      0.301
    Y6                 0.010      0.030      0.348      0.728
    Y7                -0.006      0.024     -0.244      0.808
    Y8                -0.040      0.030     -1.310      0.190
    Y9                 0.049      0.033      1.476      0.140
    Y10               -0.037      0.032     -1.155      0.248
    Y11                0.004      0.023      0.160      0.873
    Y12                0.035      0.033      1.049      0.294

 F2       BY
    Y1                 0.008      0.032      0.261      0.794
    Y2                 0.022      0.025      0.869      0.385
    Y3                -0.042      0.037     -1.135      0.256
    Y4                 0.646      0.039     16.735      0.000
    Y5                 0.760      0.039     19.673      0.000
    Y6                 0.674      0.038     17.545      0.000
    Y7                 0.003      0.029      0.101      0.919
    Y8                 0.002      0.029      0.066      0.948
    Y9                -0.007      0.030     -0.227      0.821
    Y10                0.006      0.030      0.216      0.829
    Y11                0.013      0.026      0.524      0.600
    Y12               -0.036      0.035     -1.023      0.306

 F3       BY
    Y1                 0.074      0.039      1.909      0.056
    Y2                -0.005      0.015     -0.319      0.750
    Y3                -0.058      0.036     -1.602      0.109
    Y4                -0.002      0.031     -0.077      0.939
    Y5                -0.023      0.027     -0.872      0.383
    Y6                 0.030      0.033      0.932      0.351
    Y7                 0.734      0.033     22.121      0.000
    Y8                 0.727      0.033     21.838      0.000
    Y9                 0.707      0.034     20.985      0.000
    Y10               -0.010      0.030     -0.314      0.753
    Y11                0.001      0.026      0.038      0.969
    Y12                0.008      0.032      0.264      0.792

 F4       BY
    Y1                -0.021      0.031     -0.674      0.500
    Y2                 0.041      0.028      1.459      0.144
    Y3                -0.028      0.032     -0.862      0.389
    Y4                -0.018      0.033     -0.537      0.591
    Y5                 0.017      0.027      0.613      0.540
    Y6                -0.012      0.031     -0.376      0.707
    Y7                 0.018      0.029      0.607      0.544
    Y8                -0.016      0.029     -0.562      0.574
    Y9                -0.001      0.029     -0.043      0.966
    Y10                0.692      0.035     19.541      0.000
    Y11                0.791      0.035     22.901      0.000
    Y12                0.658      0.036     18.342      0.000

 F2       WITH
    F1                -0.039      0.057     -0.682      0.495

 F3       WITH
    F1                 0.007      0.055      0.130      0.896
    F2                 0.029      0.057      0.521      0.602

 F4       WITH
    F1                -0.002      0.056     -0.031      0.976
    F2                -0.121      0.056     -2.151      0.031
    F3                -0.028      0.056     -0.496      0.620

 Intercepts
    Y1                 0.008      0.045      0.183      0.855
    Y2                 0.033      0.045      0.741      0.459
    Y3                 0.003      0.045      0.072      0.942
    Y4                 0.073      0.045      1.625      0.104
    Y5                 0.064      0.045      1.421      0.155
    Y6                 0.060      0.045      1.343      0.179
    Y7                -0.003      0.045     -0.077      0.939
    Y8                 0.009      0.045      0.203      0.839
    Y9                 0.021      0.045      0.478      0.633
    Y10               -0.034      0.045     -0.771      0.441
    Y11                0.002      0.045      0.034      0.973
    Y12               -0.002      0.045     -0.052      0.958

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000
    F3                 1.000      0.000    999.000    999.000
    F4                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.588      0.049     12.075      0.000
    Y2                 0.346      0.062      5.595      0.000
    Y3                 0.594      0.049     12.138      0.000
    Y4                 0.581      0.049     11.838      0.000
    Y5                 0.424      0.058      7.332      0.000
    Y6                 0.543      0.051     10.653      0.000
    Y7                 0.462      0.049      9.499      0.000
    Y8                 0.470      0.048      9.723      0.000
    Y9                 0.498      0.047     10.486      0.000
    Y10                0.520      0.048     10.740      0.000
    Y11                0.376      0.054      6.973      0.000
    Y12                0.559      0.047     12.008      0.000


STD Standardization

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

 F1       BY
    Y1                 0.623      0.047     13.161      0.000
    Y2                 0.814      0.051     15.928      0.000
    Y3                 0.618      0.048     12.964      0.000
    Y4                 0.027      0.034      0.799      0.424
    Y5                -0.029      0.028     -1.034      0.301
    Y6                 0.011      0.031      0.348      0.728
    Y7                -0.006      0.025     -0.244      0.808
    Y8                -0.039      0.030     -1.310      0.190
    Y9                 0.047      0.032      1.475      0.140
    Y10               -0.040      0.034     -1.154      0.248
    Y11                0.004      0.024      0.160      0.873
    Y12                0.035      0.034      1.049      0.294

 F2       BY
    Y1                 0.008      0.031      0.261      0.794
    Y2                 0.022      0.025      0.869      0.385
    Y3                -0.041      0.036     -1.134      0.257
    Y4                 0.652      0.049     13.210      0.000
    Y5                 0.756      0.050     15.029      0.000
    Y6                 0.697      0.051     13.695      0.000
    Y7                 0.003      0.030      0.101      0.919
    Y8                 0.002      0.029      0.066      0.948
    Y9                -0.007      0.030     -0.227      0.821
    Y10                0.007      0.032      0.216      0.829
    Y11                0.014      0.027      0.524      0.600
    Y12               -0.037      0.036     -1.023      0.306

 F3       BY
    Y1                 0.073      0.038      1.906      0.057
    Y2                -0.005      0.015     -0.319      0.750
    Y3                -0.057      0.036     -1.599      0.110
    Y4                -0.002      0.031     -0.077      0.939
    Y5                -0.023      0.027     -0.872      0.383
    Y6                 0.031      0.034      0.932      0.351
    Y7                 0.745      0.047     15.878      0.000
    Y8                 0.724      0.046     15.747      0.000
    Y9                 0.689      0.045     15.316      0.000
    Y10               -0.010      0.032     -0.314      0.753
    Y11                0.001      0.027      0.038      0.969
    Y12                0.009      0.032      0.264      0.792

 F4       BY
    Y1                -0.021      0.031     -0.674      0.500
    Y2                 0.041      0.028      1.459      0.145
    Y3                -0.027      0.032     -0.862      0.389
    Y4                -0.018      0.034     -0.537      0.591
    Y5                 0.016      0.027      0.613      0.540
    Y6                -0.012      0.032     -0.376      0.707
    Y7                 0.018      0.030      0.607      0.544
    Y8                -0.016      0.029     -0.562      0.574
    Y9                -0.001      0.028     -0.043      0.966
    Y10                0.740      0.050     14.656      0.000
    Y11                0.829      0.050     16.532      0.000
    Y12                0.670      0.048     14.020      0.000

 F2       WITH
    F1                -0.039      0.057     -0.682      0.495

 F3       WITH
    F1                 0.007      0.055      0.130      0.896
    F2                 0.029      0.057      0.521      0.602

 F4       WITH
    F1                -0.002      0.056     -0.031      0.976
    F2                -0.121      0.056     -2.151      0.031
    F3                -0.028      0.056     -0.496      0.620

 Intercepts
    Y1                 0.008      0.044      0.183      0.855
    Y2                 0.033      0.045      0.741      0.459
    Y3                 0.003      0.044      0.072      0.942
    Y4                 0.073      0.045      1.627      0.104
    Y5                 0.063      0.044      1.423      0.155
    Y6                 0.062      0.046      1.344      0.179
    Y7                -0.004      0.045     -0.077      0.939
    Y8                 0.009      0.045      0.203      0.839
    Y9                 0.021      0.044      0.478      0.633
    Y10               -0.037      0.048     -0.771      0.441
    Y11                0.002      0.047      0.034      0.973
    Y12               -0.002      0.046     -0.052      0.958

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000
    F3                 1.000      0.000    999.000    999.000
    F4                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.564      0.049     11.500      0.000
    Y2                 0.352      0.062      5.706      0.000
    Y3                 0.569      0.049     11.516      0.000
    Y4                 0.592      0.052     11.336      0.000
    Y5                 0.419      0.056      7.455      0.000
    Y6                 0.581      0.056     10.453      0.000
    Y7                 0.476      0.049      9.632      0.000
    Y8                 0.467      0.047      9.836      0.000
    Y9                 0.474      0.045     10.495      0.000
    Y10                0.594      0.056     10.644      0.000
    Y11                0.413      0.058      7.147      0.000
    Y12                0.580      0.050     11.621      0.000


R-SQUARE

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

    Y1                 0.412      0.049      8.463      0.000
    Y2                 0.654      0.062     10.561      0.000
    Y3                 0.406      0.049      8.293      0.000
    Y4                 0.419      0.049      8.547      0.000
    Y5                 0.576      0.058      9.973      0.000
    Y6                 0.457      0.051      8.983      0.000
    Y7                 0.538      0.049     11.069      0.000
    Y8                 0.530      0.048     10.981      0.000
    Y9                 0.502      0.047     10.567      0.000
    Y10                0.480      0.048      9.924      0.000
    Y11                0.624      0.054     11.555      0.000
    Y12                0.441      0.047      9.483      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.220E-01
       (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    10.000

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

No modification indices above the minimum value.



     Beginning Time:  22:51:47
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       Elapsed Time:  00:00:00



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