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

INPUT INSTRUCTIONS

  TITLE:	this is an example of an exploratory
  	factor analysis with categorical factor
          indicators
  DATA:	FILE IS ex4.2.dat;
  VARIABLE:	NAMES ARE  u1-u12;
  	CATEGORICAL ARE u1-u12;
  ANALYSIS:	TYPE = EFA 1 4;




INPUT READING TERMINATED NORMALLY



this is an example of an exploratory
factor analysis with categorical factor
indicators

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                            0

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6
   U7          U8          U9          U10         U11         U12


Estimator                                                    WLSMV
Rotation                                                    GEOMIN
Row standardization                                    CORRELATION
Type of rotation                                           OBLIQUE
Epsilon value                                               Varies
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)
  ex4.2.dat

Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.494      247.000
      Category 2    0.506      253.000
    U2
      Category 1    0.484      242.000
      Category 2    0.516      258.000
    U3
      Category 1    0.528      264.000
      Category 2    0.472      236.000
    U4
      Category 1    0.504      252.000
      Category 2    0.496      248.000
    U5
      Category 1    0.486      243.000
      Category 2    0.514      257.000
    U6
      Category 1    0.504      252.000
      Category 2    0.496      248.000
    U7
      Category 1    0.496      248.000
      Category 2    0.504      252.000
    U8
      Category 1    0.492      246.000
      Category 2    0.508      254.000
    U9
      Category 1    0.514      257.000
      Category 2    0.486      243.000
    U10
      Category 1    0.496      248.000
      Category 2    0.504      252.000
    U11
      Category 1    0.490      245.000
      Category 2    0.510      255.000
    U12
      Category 1    0.502      251.000
      Category 2    0.498      249.000



RESULTS FOR EXPLORATORY FACTOR ANALYSIS


           EIGENVALUES FOR SAMPLE CORRELATION MATRIX
                  1             2             3             4             5
              ________      ________      ________      ________      ________
      1         2.326         2.230         2.009         1.710         0.659


           EIGENVALUES FOR SAMPLE CORRELATION MATRIX
                  6             7             8             9            10
              ________      ________      ________      ________      ________
      1         0.655         0.524         0.496         0.471         0.350


           EIGENVALUES FOR SAMPLE CORRELATION MATRIX
                 11            12
              ________      ________
      1         0.320         0.248


EXPLORATORY FACTOR ANALYSIS WITH 1 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       12

Chi-Square Test of Model Fit

          Value                            730.699*
          Degrees of Freedom                    54
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.158
          90 Percent C.I.                    0.148  0.169
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.230
          TLI                                0.059

Chi-Square Test of Model Fit for the Baseline Model

          Value                            944.923
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.189



MINIMUM ROTATION FUNCTION VALUE       1.89948



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.608*
 U2             0.689*
 U3             0.596*
 U4             0.038
 U5            -0.019
 U6             0.099
 U7             0.460*
 U8             0.398*
 U9             0.390*
 U10           -0.249*
 U11           -0.286*
 U12           -0.143*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.630         0.526         0.645         0.999         1.000


           ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.990         0.788         0.841         0.848         0.938


           ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.918         0.980


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.057
 U2             0.056
 U3             0.055
 U4             0.069
 U5             0.069
 U6             0.068
 U7             0.060
 U8             0.062
 U9             0.061
 U10            0.066
 U11            0.065
 U12            0.067


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.069         0.078         0.065         0.005         0.003


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.013         0.055         0.050         0.048         0.033


           S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.037         0.019


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            10.660
 U2            12.218
 U3            10.939
 U4             0.549
 U5            -0.274
 U6             1.448
 U7             7.711
 U8             6.403
 U9             6.358
 U10           -3.784
 U11           -4.375
 U12           -2.125


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         9.078         6.766         9.917       192.068       386.794


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1        73.492        14.351        16.993        17.691        28.597


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1        24.568        50.944


EXPLORATORY FACTOR ANALYSIS WITH 2 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       23

Chi-Square Test of Model Fit

          Value                            485.520*
          Degrees of Freedom                    43
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.143
          90 Percent C.I.                    0.132  0.155
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.497
          TLI                                0.227

Chi-Square Test of Model Fit for the Baseline Model

          Value                            944.923
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.147



MINIMUM ROTATION FUNCTION VALUE       0.76540



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.630*        0.109
 U2             0.793*       -0.004
 U3             0.670*       -0.008
 U4            -0.171*        0.361*
 U5            -0.290*        0.452*
 U6            -0.126         0.438*
 U7             0.326*        0.431*
 U8             0.256*        0.422*
 U9             0.267*        0.382*
 U10           -0.012        -0.475*
 U11           -0.001        -0.599*
 U12            0.132        -0.499*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2        -0.054         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.599         0.371         0.551         0.834         0.697


           ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.786         0.723         0.767         0.793         0.775


           ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.642         0.727


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.057         0.071
 U2             0.055         0.020
 U3             0.055         0.048
 U4             0.079         0.066
 U5             0.080         0.067
 U6             0.079         0.064
 U7             0.078         0.067
 U8             0.080         0.066
 U9             0.075         0.066
 U10            0.063         0.062
 U11            0.012         0.057
 U12            0.070         0.062


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.108         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.071         0.088         0.074         0.052         0.067


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.057         0.062         0.059         0.055         0.059


           S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.069         0.064


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            11.113         1.522
 U2            14.296        -0.213
 U3            12.127        -0.175
 U4            -2.173         5.458
 U5            -3.637         6.731
 U6            -1.593         6.828
 U7             4.151         6.417
 U8             3.219         6.354
 U9             3.588         5.771
 U10           -0.195        -7.657
 U11           -0.083       -10.457
 U12            1.891        -8.108


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2        -0.493         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         8.481         4.216         7.465        16.093        10.416


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1        13.705        11.617        13.112        14.527        13.168


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         9.363        11.426


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.624         0.075
 U2             0.793        -0.047
 U3             0.670        -0.044
 U4            -0.190         0.370
 U5            -0.314         0.468
 U6            -0.149         0.445
 U7             0.303         0.413
 U8             0.234         0.409
 U9             0.247         0.368
 U10            0.013        -0.474
 U11            0.031        -0.599
 U12            0.159        -0.506


EXPLORATORY FACTOR ANALYSIS WITH 3 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       33

Chi-Square Test of Model Fit

          Value                            268.580*
          Degrees of Freedom                    33
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.119
          90 Percent C.I.                    0.106  0.133
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.732
          TLI                                0.464

Chi-Square Test of Model Fit for the Baseline Model

          Value                            944.923
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.095



MINIMUM ROTATION FUNCTION VALUE       0.20241



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2             3
              ________      ________      ________
 U1             0.646*        0.105        -0.047
 U2             0.875*       -0.007         0.025
 U3             0.713*       -0.013         0.021
 U4            -0.014        -0.115        -0.502*
 U5            -0.181*       -0.007        -0.536*
 U6            -0.046         0.068        -0.468*
 U7             0.018         0.807*        0.023
 U8            -0.039         0.722*       -0.016
 U9            -0.002         0.667*        0.002
 U10           -0.181*        0.029         0.566*
 U11           -0.145        -0.073         0.639*
 U12           -0.004        -0.001         0.573*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2             3
              ________      ________      ________
      1         1.000
      2         0.025         1.000
      3         0.064        -0.057         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.570         0.230         0.490         0.740         0.668


           ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.768         0.349         0.478         0.555         0.661


           ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.571         0.672


           S.E. GEOMIN ROTATED LOADINGS
                  1             2             3
              ________      ________      ________
 U1             0.057         0.073         0.068
 U2             0.057         0.035         0.043
 U3             0.056         0.050         0.042
 U4             0.043         0.073         0.065
 U5             0.071         0.036         0.062
 U6             0.073         0.074         0.063
 U7             0.043         0.061         0.056
 U8             0.070         0.059         0.049
 U9             0.039         0.059         0.045
 U10            0.085         0.070         0.063
 U11            0.084         0.085         0.062
 U12            0.059         0.069         0.062


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2             3
              ________      ________      ________
      1         0.000
      2         0.080         0.000
      3         0.096         0.092         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.074         0.100         0.080         0.066         0.070


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.060         0.097         0.085         0.078         0.072


           S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.078         0.070


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2             3
              ________      ________      ________
 U1            11.336         1.437        -0.683
 U2            15.239        -0.210         0.592
 U3            12.670        -0.267         0.501
 U4            -0.323        -1.570        -7.759
 U5            -2.538        -0.186        -8.592
 U6            -0.625         0.917        -7.412
 U7             0.412        13.267         0.406
 U8            -0.563        12.195        -0.323
 U9            -0.046        11.365         0.052
 U10           -2.131         0.417         9.054
 U11           -1.721        -0.862        10.329
 U12           -0.068        -0.020         9.300


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2             3
              ________      ________      ________
      1         0.000
      2         0.318         0.000
      3         0.661        -0.617         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         7.692         2.310         6.154        11.275         9.514


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1        12.887         3.582         5.624         7.104         9.151


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         7.351         9.596


           FACTOR STRUCTURE
                  1             2             3
              ________      ________      ________
 U1             0.645         0.124        -0.011
 U2             0.877         0.013         0.081
 U3             0.714         0.004         0.067
 U4            -0.049        -0.087        -0.496
 U5            -0.215         0.019        -0.547
 U6            -0.074         0.093        -0.475
 U7             0.040         0.806        -0.022
 U8            -0.022         0.721        -0.059
 U9             0.015         0.667        -0.036
 U10           -0.144        -0.008         0.553
 U11           -0.106        -0.113         0.634
 U12            0.032        -0.034         0.572


EXPLORATORY FACTOR ANALYSIS WITH 4 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       42

Chi-Square Test of Model Fit

          Value                             22.796*
          Degrees of Freedom                    24
          P-Value                           0.5319

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.034
          Probability RMSEA <= .05           0.998

CFI/TLI

          CFI                                1.000
          TLI                                1.004

Chi-Square Test of Model Fit for the Baseline Model

          Value                            944.923
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.024



MINIMUM ROTATION FUNCTION VALUE       0.38499



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2             3             4
              ________      ________      ________      ________
 U1             0.628*       -0.003         0.098        -0.060
 U2             0.937*        0.041        -0.011         0.071
 U3             0.690*       -0.072        -0.020        -0.037
 U4             0.072         0.705*       -0.121        -0.005
 U5            -0.130         0.805*        0.018         0.016
 U6             0.015         0.602*        0.089        -0.045
 U7             0.026        -0.014         0.805*        0.009
 U8            -0.036        -0.003         0.720*       -0.029
 U9             0.017         0.034         0.669*        0.025
 U10           -0.066        -0.017         0.057         0.654*
 U11           -0.005         0.040        -0.056         0.872*
 U12            0.110        -0.069         0.022         0.624*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2             3             4
              ________      ________      ________      ________
      1         1.000
      2        -0.026         1.000
      3         0.025         0.033         1.000
      4        -0.030        -0.150        -0.059         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.586         0.122         0.515         0.491         0.331


           ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.615         0.352         0.479         0.550         0.563


           ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.239         0.586


           S.E. GEOMIN ROTATED LOADINGS
                  1             2             3             4
              ________      ________      ________      ________
 U1             0.057         0.049         0.066         0.062
 U2             0.060         0.040         0.029         0.049
 U3             0.057         0.064         0.047         0.043
 U4             0.058         0.067         0.074         0.048
 U5             0.078         0.072         0.017         0.043
 U6             0.033         0.064         0.070         0.065
 U7             0.041         0.044         0.060         0.042
 U8             0.051         0.047         0.059         0.053
 U9             0.048         0.056         0.059         0.052
 U10            0.060         0.049         0.058         0.064
 U11            0.019         0.043         0.049         0.070
 U12            0.066         0.065         0.044         0.064


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2             3             4
              ________      ________      ________      ________
      1         0.000
      2         0.083         0.000
      3         0.067         0.077         0.000
      4         0.070         0.070         0.071         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.112         0.078         0.093         0.114


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.075         0.096         0.084         0.078         0.083


           S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         0.120         0.078


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2             3             4
              ________      ________      ________      ________
 U1            11.004        -0.066         1.500        -0.976
 U2            15.616         1.038        -0.394         1.432
 U3            12.047        -1.129        -0.424        -0.857
 U4             1.237        10.455        -1.641        -0.103
 U5            -1.680        11.109         1.091         0.376
 U6             0.465         9.382         1.283        -0.698
 U7             0.648        -0.309        13.376         0.214
 U8            -0.707        -0.057        12.202        -0.546
 U9             0.363         0.598        11.403         0.493
 U10           -1.112        -0.353         0.985        10.153
 U11           -0.270         0.926        -1.146        12.389
 U12            1.664        -1.061         0.497         9.795


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2             3             4
              ________      ________      ________      ________
      1         0.000
      2        -0.310         0.000
      3         0.368         0.422         0.000
      4        -0.427        -2.152        -0.831         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         8.086         1.085         6.582         5.280         2.913


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         8.158         3.652         5.670         7.047         6.797


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U11           U12
              ________      ________
      1         1.987         7.474


           FACTOR STRUCTURE
                  1             2             3             4
              ________      ________      ________      ________
 U1             0.633        -0.007         0.117        -0.084
 U2             0.934         0.006         0.009         0.037
 U3             0.692        -0.085        -0.003        -0.045
 U4             0.051         0.700        -0.096        -0.106
 U5            -0.151         0.807         0.040        -0.102
 U6             0.003         0.612         0.112        -0.141
 U7             0.046         0.011         0.804        -0.037
 U8            -0.017         0.026         0.721        -0.070
 U9             0.032         0.051         0.669        -0.020
 U10           -0.084        -0.112         0.016         0.655
 U11           -0.033        -0.093        -0.107         0.870
 U12            0.094        -0.164        -0.014         0.630


     Beginning Time:  22:51:47
        Ending Time:  22:51:48
       Elapsed Time:  00:00:01



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