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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a bi-factor EFA
  DATA:	FILE = ex5.29.dat;
  VARIABLE:	NAMES = y1-y10;
  ANALYSIS:	ROTATION = BI-GEOMIN;
  MODEL:	fg f1 f2 BY y1-y10 (*1);
  OUTPUT:	STDY;






INPUT READING TERMINATED NORMALLY



this is an example of a bi-factor EFA

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                            3

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10

Continuous latent variables

  EFA factors
  *1:   FG          F1          F2


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)
  ex5.29.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



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



MODEL RESULTS

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

 FG       BY
    Y1                 0.931      0.311      2.993      0.003
    Y2                 0.771      0.094      8.227      0.000
    Y3                 0.837      0.207      4.036      0.000
    Y4                 1.037      0.808      1.284      0.199
    Y5                 0.664      0.093      7.100      0.000
    Y6                 0.550      0.063      8.728      0.000
    Y7                 0.577      0.079      7.329      0.000
    Y8                 0.651      0.075      8.726      0.000
    Y9                 0.601      0.106      5.673      0.000
    Y10                0.589      0.083      7.089      0.000

 F1       BY
    Y1                 0.726      0.430      1.690      0.091
    Y2                 0.215      0.296      0.724      0.469
    Y3                 0.472      0.358      1.319      0.187
    Y4                 2.252      0.302      7.449      0.000
    Y5                -0.073      0.146     -0.497      0.619
    Y6                -0.005      0.037     -0.136      0.892
    Y7                 0.019      0.027      0.732      0.464
    Y8                 0.009      0.024      0.374      0.708
    Y9                -0.063      0.037     -1.696      0.090
    Y10                0.030      0.038      0.784      0.433

 F2       BY
    Y1                -0.045      0.037     -1.214      0.225
    Y2                 0.008      0.044      0.172      0.864
    Y3                -0.010      0.024     -0.420      0.675
    Y4                 0.011      0.009      1.155      0.248
    Y5                 0.376      0.072      5.221      0.000
    Y6                 0.781      0.047     16.711      0.000
    Y7                 0.984      0.054     18.116      0.000
    Y8                 1.177      0.049     24.086      0.000
    Y9                 1.120      0.058     19.253      0.000
    Y10                1.308      0.048     27.085      0.000

 F1       WITH
    FG                 0.000      0.000     -7.217      0.000

 F2       WITH
    FG                 0.000      0.000     -7.931      0.000
    F1                -0.029      0.182     -0.161      0.872

 Intercepts
    Y1                -0.069      0.028     -2.463      0.014
    Y2                -0.033      0.024     -1.341      0.180
    Y3                -0.055      0.026     -2.126      0.034
    Y4                -0.058      0.038     -1.548      0.122
    Y5                -0.040      0.024     -1.634      0.102
    Y6                -0.018      0.026     -0.690      0.490
    Y7                -0.005      0.027     -0.170      0.865
    Y8                 0.004      0.029      0.130      0.897
    Y9                 0.015      0.028      0.542      0.588
    Y10                0.016      0.030      0.544      0.586

 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                 2.553      0.090     28.506      0.000
    Y2                 2.343      0.071     33.196      0.000
    Y3                 2.383      0.067     35.645      0.000
    Y4                 0.986      1.289      0.765      0.444
    Y5                 2.412      0.073     33.266      0.000
    Y6                 2.366      0.053     44.330      0.000
    Y7                 2.453      0.059     41.808      0.000
    Y8                 2.382      0.063     37.813      0.000
    Y9                 2.378      0.061     39.089      0.000
    Y10                2.542      0.073     34.856      0.000


STANDARDIZED MODEL RESULTS


STDY Standardization

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

 FG       BY
    Y1                 0.468      0.156      2.997      0.003
    Y2                 0.446      0.054      8.304      0.000
    Y3                 0.460      0.114      4.046      0.000
    Y4                 0.388      0.302      1.284      0.199
    Y5                 0.383      0.054      7.152      0.000
    Y6                 0.304      0.034      8.824      0.000
    Y7                 0.298      0.040      7.386      0.000
    Y8                 0.318      0.036      8.822      0.000
    Y9                 0.300      0.053      5.699      0.000
    Y10                0.274      0.038      7.141      0.000

 F1       BY
    Y1                 0.365      0.216      1.691      0.091
    Y2                 0.124      0.172      0.724      0.469
    Y3                 0.260      0.197      1.319      0.187
    Y4                 0.843      0.113      7.466      0.000
    Y5                -0.042      0.084     -0.497      0.619
    Y6                -0.003      0.021     -0.136      0.892
    Y7                 0.010      0.014      0.732      0.464
    Y8                 0.004      0.012      0.374      0.708
    Y9                -0.031      0.019     -1.697      0.090
    Y10                0.014      0.018      0.784      0.433

 F2       BY
    Y1                -0.023      0.019     -1.214      0.225
    Y2                 0.004      0.026      0.172      0.864
    Y3                -0.006      0.013     -0.420      0.675
    Y4                 0.004      0.003      1.156      0.248
    Y5                 0.217      0.041      5.237      0.000
    Y6                 0.431      0.025     17.261      0.000
    Y7                 0.508      0.027     18.781      0.000
    Y8                 0.575      0.022     25.556      0.000
    Y9                 0.560      0.028     20.009      0.000
    Y10                0.610      0.021     29.258      0.000

 F1       WITH
    FG                 0.000      0.000     -7.217      0.000

 F2       WITH
    FG                 0.000      0.000     -7.931      0.000
    F1                -0.029      0.182     -0.161      0.872

 Intercepts
    Y1                -0.035      0.014     -2.462      0.014
    Y2                -0.019      0.014     -1.341      0.180
    Y3                -0.030      0.014     -2.125      0.034
    Y4                -0.022      0.014     -1.547      0.122
    Y5                -0.023      0.014     -1.633      0.102
    Y6                -0.010      0.014     -0.690      0.490
    Y7                -0.002      0.014     -0.170      0.865
    Y8                 0.002      0.014      0.130      0.897
    Y9                 0.008      0.014      0.542      0.588
    Y10                0.008      0.014      0.544      0.586

 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                 0.646      0.022     29.962      0.000
    Y2                 0.785      0.020     38.370      0.000
    Y3                 0.721      0.018     40.477      0.000
    Y4                 0.138      0.181      0.765      0.444
    Y5                 0.804      0.021     38.907      0.000
    Y6                 0.722      0.013     54.911      0.000
    Y7                 0.654      0.014     47.178      0.000
    Y8                 0.569      0.014     39.388      0.000
    Y9                 0.594      0.014     41.556      0.000
    Y10                0.553      0.015     35.786      0.000


R-SQUARE

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

    Y1                 0.354      0.022     16.410      0.000
    Y2                 0.215      0.020     10.490      0.000
    Y3                 0.279      0.018     15.675      0.000
    Y4                 0.862      0.181      4.769      0.000
    Y5                 0.196      0.021      9.499      0.000
    Y6                 0.278      0.013     21.195      0.000
    Y7                 0.346      0.014     25.014      0.000
    Y8                 0.431      0.014     29.894      0.000
    Y9                 0.406      0.014     28.378      0.000
    Y10                0.447      0.015     28.963      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.124E-03
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  14:40:41
        Ending Time:  14:40:42
       Elapsed Time:  00:00:01



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