Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:55 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of bi-factor EFA with
  	two items loading on only the general
  	factor
  DATA:	FILE = ex5.30.dat;
  VARIABLE:	NAMES = y1-y10;
  ANALYSIS:	ROTATION = GEOMIN;
  MODEL:	fg BY y1-y10*;
  	fg@1;
  	f1-f2 BY y1-y8 (*1);
  	fg WITH f1-f2@0;
  OUTPUT:	STDY;







INPUT READING TERMINATED NORMALLY



this is an example of bi-factor EFA with
two items loading on only the general
factor

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                   10
Number of independent variables                                  0
Number of continuous latent variables                            3

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10

Continuous latent variables
   FG

  EFA factors
  *1:   F1          F2


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)
  ex5.30.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       45

Loglikelihood

          H0 Value                       -5741.460
          H1 Value                       -5729.692

Information Criteria

          Akaike (AIC)                   11572.920
          Bayesian (BIC)                 11762.577
          Sample-Size Adjusted BIC       11619.745
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             23.536
          Degrees of Freedom                    20
          P-Value                           0.2632

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.019
          90 Percent C.I.                    0.000  0.045
          Probability RMSEA <= .05           0.981

CFI/TLI

          CFI                                0.999
          TLI                                0.997

Chi-Square Test of Model Fit for the Baseline Model

          Value                           2817.891
          Degrees of Freedom                    45
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.011



MODEL RESULTS

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

 FG       BY
    Y1                 0.675      0.051     13.257      0.000
    Y2                 0.718      0.052     13.893      0.000
    Y3                 0.765      0.048     15.921      0.000
    Y4                 0.738      0.051     14.466      0.000
    Y5                 0.745      0.053     14.008      0.000
    Y6                 0.701      0.047     14.816      0.000
    Y7                 0.644      0.052     12.352      0.000
    Y8                 0.716      0.056     12.704      0.000
    Y9                 0.704      0.046     15.437      0.000
    Y10                0.620      0.045     13.792      0.000

 F1       BY
    Y1                 0.457      0.065      7.081      0.000
    Y2                 0.454      0.067      6.779      0.000
    Y3                 0.322      0.088      3.669      0.000
    Y4                 0.382      0.070      5.428      0.000
    Y5                -0.001      0.031     -0.043      0.966
    Y6                -0.049      0.062     -0.802      0.422
    Y7                 0.122      0.074      1.643      0.100
    Y8                 0.002      0.039      0.063      0.950

 F2       BY
    Y1                 0.001      0.032      0.044      0.965
    Y2                 0.005      0.040      0.119      0.906
    Y3                -0.109      0.062     -1.752      0.080
    Y4                 0.000      0.040     -0.002      0.999
    Y5                 0.334      0.089      3.756      0.000
    Y6                 0.324      0.074      4.399      0.000
    Y7                 0.400      0.065      6.200      0.000
    Y8                 0.369      0.089      4.160      0.000

 FG       WITH
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 F2       WITH
    F1                 0.170      0.244      0.698      0.485

 Intercepts
    Y1                -0.073      0.045     -1.640      0.101
    Y2                 0.049      0.045      1.072      0.284
    Y3                 0.012      0.044      0.263      0.792
    Y4                -0.042      0.046     -0.918      0.358
    Y5                 0.021      0.046      0.461      0.645
    Y6                -0.025      0.044     -0.573      0.566
    Y7                 0.022      0.045      0.490      0.624
    Y8                 0.059      0.048      1.228      0.219
    Y9                -0.018      0.044     -0.400      0.689
    Y10               -0.003      0.044     -0.059      0.953

 Variances
    FG                 1.000      0.000    999.000    999.000
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.325      0.033     10.004      0.000
    Y2                 0.311      0.031      9.984      0.000
    Y3                 0.279      0.031      8.957      0.000
    Y4                 0.368      0.029     12.641      0.000
    Y5                 0.381      0.034     11.296      0.000
    Y6                 0.383      0.034     11.243      0.000
    Y7                 0.422      0.048      8.766      0.000
    Y8                 0.493      0.041     11.944      0.000
    Y9                 0.493      0.046     10.617      0.000
    Y10                0.574      0.046     12.603      0.000


STANDARDIZED MODEL RESULTS


STDY Standardization

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

 FG       BY
    Y1                 0.678      0.041     16.642      0.000
    Y2                 0.706      0.040     17.736      0.000
    Y3                 0.777      0.036     21.546      0.000
    Y4                 0.717      0.038     18.874      0.000
    Y5                 0.728      0.041     17.800      0.000
    Y6                 0.709      0.036     19.758      0.000
    Y7                 0.635      0.042     15.144      0.000
    Y8                 0.670      0.043     15.632      0.000
    Y9                 0.708      0.033     21.325      0.000
    Y10                0.634      0.035     18.078      0.000

 F1       BY
    Y1                 0.459      0.064      7.215      0.000
    Y2                 0.447      0.065      6.876      0.000
    Y3                 0.327      0.089      3.677      0.000
    Y4                 0.371      0.068      5.482      0.000
    Y5                -0.001      0.030     -0.043      0.966
    Y6                -0.050      0.062     -0.802      0.422
    Y7                 0.121      0.073      1.644      0.100
    Y8                 0.002      0.036      0.063      0.950

 F2       BY
    Y1                 0.001      0.032      0.044      0.965
    Y2                 0.005      0.039      0.119      0.906
    Y3                -0.110      0.063     -1.752      0.080
    Y4                 0.000      0.039     -0.002      0.999
    Y5                 0.326      0.086      3.774      0.000
    Y6                 0.328      0.074      4.432      0.000
    Y7                 0.394      0.062      6.322      0.000
    Y8                 0.346      0.082      4.195      0.000

 FG       WITH
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 F2       WITH
    F1                 0.170      0.244      0.698      0.485

 Intercepts
    Y1                -0.073      0.045     -1.638      0.101
    Y2                 0.048      0.045      1.071      0.284
    Y3                 0.012      0.045      0.263      0.792
    Y4                -0.041      0.045     -0.918      0.359
    Y5                 0.021      0.045      0.461      0.645
    Y6                -0.026      0.045     -0.573      0.566
    Y7                 0.022      0.045      0.490      0.624
    Y8                 0.055      0.045      1.227      0.220
    Y9                -0.018      0.045     -0.400      0.689
    Y10               -0.003      0.045     -0.059      0.953

 Variances
    FG                 1.000      0.000    999.000    999.000
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.329      0.035      9.381      0.000
    Y2                 0.301      0.032      9.274      0.000
    Y3                 0.289      0.034      8.405      0.000
    Y4                 0.348      0.030     11.567      0.000
    Y5                 0.364      0.034     10.585      0.000
    Y6                 0.393      0.037     10.678      0.000
    Y7                 0.411      0.048      8.535      0.000
    Y8                 0.432      0.038     11.505      0.000
    Y9                 0.499      0.047     10.612      0.000
    Y10                0.599      0.044     13.475      0.000


R-SQUARE

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

    Y1                 0.671      0.035     19.165      0.000
    Y2                 0.699      0.032     21.564      0.000
    Y3                 0.711      0.034     20.715      0.000
    Y4                 0.652      0.030     21.671      0.000
    Y5                 0.636      0.034     18.505      0.000
    Y6                 0.607      0.037     16.520      0.000
    Y7                 0.589      0.048     12.249      0.000
    Y8                 0.568      0.038     15.137      0.000
    Y9                 0.501      0.047     10.663      0.000
    Y10                0.401      0.044      9.039      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.886E-02
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  22:55:33
        Ending Time:  22:55:33
       Elapsed Time:  00:00:00



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