Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:40 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a bi-factor exploratory factor analysis with
  		continuous indicators
  DATA:		FILE = ex4.7.dat;
  VARIABLE:	NAMES = y1-y10;
  ANALYSIS:	TYPE = EFA 2 3;
  		ROTATION = BI-GEOMIN;





INPUT READING TERMINATED NORMALLY



this is an example of a bi-factor exploratory factor analysis with
continuous indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        5000

Number of dependent variables                                   10
Number of independent variables                                  0
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10


Estimator                                                       ML
Rotation                                                 BI-GEOMIN
Row standardization                                    CORRELATION
Type of rotation                                           OBLIQUE
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)
  ex4.7.dat

Input data format  FREE



SUMMARY OF MODEL FIT INFORMATION


                   Number of                   Degrees of
     Model        Parameters      Chi-Square    Freedom     P-Value

     2-factor          39             90.091        26       0.0000
     3-factor          47             24.364        18       0.1435

                                               Degrees of
     Models Compared              Chi-Square    Freedom     P-Value

     2-factor against 3-factor        65.727         8       0.0000



RESULTS FOR EXPLORATORY FACTOR ANALYSIS


           EIGENVALUES FOR SAMPLE CORRELATION MATRIX
                  1             2             3             4             5
              ________      ________      ________      ________      ________
      1         3.031         1.670         0.847         0.786         0.709


           EIGENVALUES FOR SAMPLE CORRELATION MATRIX
                  6             7             8             9            10
              ________      ________      ________      ________      ________
      1         0.697         0.639         0.575         0.561         0.485


EXPLORATORY FACTOR ANALYSIS WITH 2 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       39

Loglikelihood

          H0 Value                     -100466.860
          H1 Value                     -100421.815

Information Criteria

          Akaike (AIC)                  201011.721
          Bayesian (BIC)                201265.891
          Sample-Size Adjusted BIC      201141.963
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             90.091
          Degrees of Freedom                    26
          P-Value                           0.0000

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.022
          90 Percent C.I.                    0.017  0.027
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                0.993
          TLI                                0.988

Chi-Square Test of Model Fit for the Baseline Model

          Value                           8960.687
          Degrees of Freedom                    45
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.012



MINIMUM ROTATION FUNCTION VALUE       1.09375



           BI-GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 Y1             0.415*        0.485*
 Y2             0.338*        0.232*
 Y3             0.382*        0.361*
 Y4             0.436*        0.624*
 Y5             0.392*       -0.049*
 Y6             0.500*       -0.169*
 Y7             0.550*       -0.211*
 Y8             0.610*       -0.243*
 Y9             0.577*       -0.275*
 Y10            0.602*       -0.272*


           BI-GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.000         1.000


           ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.593         0.832         0.724         0.420         0.844


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.722         0.653         0.569         0.592         0.563


           S.E. BI-GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 Y1             0.011         0.015
 Y2             0.013         0.016
 Y3             0.012         0.015
 Y4             0.009         0.015
 Y5             0.014         0.017
 Y6             0.012         0.016
 Y7             0.012         0.016
 Y8             0.011         0.016
 Y9             0.011         0.016
 Y10            0.011         0.016


           S.E. BI-GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.000         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.017         0.012         0.014         0.021         0.011


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.013         0.014         0.014         0.014         0.014


           Est./S.E. BI-GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 Y1            39.445        33.121
 Y2            25.126        14.194
 Y3            31.999        23.663
 Y4            47.407        41.471
 Y5            28.426        -2.852
 Y6            40.779       -10.357
 Y7            47.804       -13.176
 Y8            56.987       -15.519
 Y9            52.535       -17.650
 Y10           56.367       -17.397


           Est./S.E. BI-GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2        -0.124         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1        35.882        71.462        52.080        20.043        77.325


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1        54.886        47.309        40.027        41.338        39.208


           FACTOR STRUCTURE
                  1             2
              ________      ________
 Y1             0.415         0.485
 Y2             0.338         0.232
 Y3             0.382         0.361
 Y4             0.436         0.624
 Y5             0.392        -0.049
 Y6             0.500        -0.169
 Y7             0.550        -0.211
 Y8             0.610        -0.243
 Y9             0.577        -0.275
 Y10            0.602        -0.272


EXPLORATORY FACTOR ANALYSIS WITH 3 FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       47

Loglikelihood

          H0 Value                     -100433.997
          H1 Value                     -100421.815

Information Criteria

          Akaike (AIC)                  200961.994
          Bayesian (BIC)                201268.302
          Sample-Size Adjusted BIC      201118.952
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             24.364
          Degrees of Freedom                    18
          P-Value                           0.1435

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.008
          90 Percent C.I.                    0.000  0.016
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                0.999
          TLI                                0.998

Chi-Square Test of Model Fit for the Baseline Model

          Value                           8960.687
          Degrees of Freedom                    45
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.006



MINIMUM ROTATION FUNCTION VALUE       0.16024



           BI-GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2             3
              ________      ________      ________
 Y1             0.468*        0.365        -0.023
 Y2             0.446*        0.124         0.004
 Y3             0.460*        0.260        -0.006
 Y4             0.388         0.843*        0.004
 Y5             0.383*       -0.042         0.217*
 Y6             0.304*       -0.003         0.431*
 Y7             0.298*        0.010         0.508*
 Y8             0.318*        0.004         0.575*
 Y9             0.300*       -0.031         0.560*
 Y10            0.274*        0.014         0.610*


           BI-GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2             3
              ________      ________      ________
      1         1.000
      2         0.000*        1.000
      3         0.000        -0.029         1.000


           ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.646         0.785         0.721         0.138         0.804


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.722         0.654         0.569         0.594         0.553


           S.E. BI-GEOMIN ROTATED LOADINGS
                  1             2             3
              ________      ________      ________
 Y1             0.156         0.216         0.019
 Y2             0.054         0.172         0.026
 Y3             0.114         0.197         0.013
 Y4             0.302         0.113         0.003
 Y5             0.054         0.084         0.041
 Y6             0.034         0.021         0.025
 Y7             0.040         0.014         0.027
 Y8             0.036         0.012         0.022
 Y9             0.053         0.019         0.028
 Y10            0.038         0.018         0.021


           S.E. BI-GEOMIN FACTOR CORRELATIONS
                  1             2             3
              ________      ________      ________
      1         0.000
      2         0.000         0.000
      3         0.000         0.182         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.022         0.020         0.018         0.181         0.021


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.013         0.014         0.014         0.014         0.015


           Est./S.E. BI-GEOMIN ROTATED LOADINGS
                  1             2             3
              ________      ________      ________
 Y1             2.997         1.691        -1.214
 Y2             8.304         0.724         0.172
 Y3             4.046         1.319        -0.420
 Y4             1.284         7.466         1.156
 Y5             7.152        -0.497         5.237
 Y6             8.824        -0.136        17.261
 Y7             7.386         0.732        18.781
 Y8             8.822         0.374        25.556
 Y9             5.699        -1.697        20.009
 Y10            7.141         0.784        29.258


           Est./S.E. BI-GEOMIN FACTOR CORRELATIONS
                  1             2             3
              ________      ________      ________
      1         0.000
      2        -7.217         0.000
      3        -0.155        -0.161         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1        29.962        38.370        40.477         0.765        38.907


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1        54.911        47.178        39.388        41.556        35.786


           FACTOR STRUCTURE
                  1             2             3
              ________      ________      ________
 Y1             0.468         0.366        -0.033
 Y2             0.446         0.124         0.001
 Y3             0.460         0.260        -0.013
 Y4             0.388         0.843        -0.021
 Y5             0.383        -0.048         0.218
 Y6             0.304        -0.015         0.432
 Y7             0.298        -0.005         0.508
 Y8             0.318        -0.012         0.575
 Y9             0.300        -0.048         0.561
 Y10            0.274        -0.004         0.610


     Beginning Time:  14:40:31
        Ending Time:  14:40:31
       Elapsed Time:  00:00:00



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