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

INPUT INSTRUCTIONS

  TITLE:	this is an example of multiple-group EFA
  with continuous factor indicators
  with intercept and loading measurement invariance
  and factor covariance matrix and factor mean invariance
  DATA:	FILE IS ex5.27.dat;
  VARIABLE:	NAMES ARE y1-y10 group;
  	GROUPING IS group (1 = g1 2 = g2);
  MODEL:	f1-f2 by y1-y10 (*1);
  	f1 WITH f2 (1);
  	f1-f2@1;
  	[f1-f2@0];
  OUTPUT:	TECH1;





INPUT READING TERMINATED NORMALLY



this is an example of multiple-group EFA
with continuous factor indicators
with intercept and loading measurement invariance
and factor covariance matrix and factor mean invariance

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
   Group G1                                                    500
   Group G2                                                    500

Number of dependent variables                                   10
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10

Continuous latent variables

  EFA factors
  *1:   F1          F2

Variables with special functions

  Grouping variable     GROUP

Estimator                                                       ML
Rotation                                                    GEOMIN
Row standardization                                     COVARIANCE
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)
  ex5.27.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       49

Loglikelihood

          H0 Value                      -17377.338
          H1 Value                      -17268.681

Information Criteria

          Akaike (AIC)                   34852.675
          Bayesian (BIC)                 35093.155
          Sample-Size Adjusted BIC       34937.528
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                            217.313
          Degrees of Freedom                    81
          P-Value                           0.0000

Chi-Square Contributions From Each Group

          G1                               118.687
          G2                                98.626

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.058
          90 Percent C.I.                    0.049  0.067
          Probability RMSEA <= .05           0.076

CFI/TLI

          CFI                                0.936
          TLI                                0.928

Chi-Square Test of Model Fit for the Baseline Model

          Value                           2205.576
          Degrees of Freedom                    90
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.097



MODEL RESULTS

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

Group G1

 F1       BY
    Y1                 0.848      0.066     12.892      0.000
    Y2                 0.967      0.066     14.699      0.000
    Y3                 0.867      0.050     17.327      0.000
    Y4                 0.888      0.067     13.187      0.000
    Y5                 0.962      0.063     15.383      0.000
    Y6                -0.034      0.078     -0.433      0.665
    Y7                 0.006      0.009      0.711      0.477
    Y8                 0.060      0.082      0.741      0.459
    Y9                 0.044      0.077      0.573      0.567
    Y10               -0.050      0.080     -0.631      0.528

 F2       BY
    Y1                 0.034      0.072      0.471      0.638
    Y2                -0.070      0.072     -0.979      0.328
    Y3                 0.009      0.019      0.479      0.632
    Y4                 0.072      0.074      0.967      0.333
    Y5                -0.023      0.063     -0.357      0.721
    Y6                 1.105      0.072     15.296      0.000
    Y7                 0.959      0.054     17.847      0.000
    Y8                 1.029      0.074     13.898      0.000
    Y9                 0.937      0.070     13.382      0.000
    Y10                1.008      0.073     13.714      0.000

 F1       WITH
    F2                 0.544      0.056      9.674      0.000

 Means
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 Intercepts
    Y1                 1.069      0.046     23.069      0.000
    Y2                 1.225      0.046     26.791      0.000
    Y3                 1.172      0.046     25.733      0.000
    Y4                 1.131      0.048     23.656      0.000
    Y5                 1.185      0.047     25.147      0.000
    Y6                 1.273      0.050     25.497      0.000
    Y7                 1.295      0.049     26.186      0.000
    Y8                 1.352      0.052     26.174      0.000
    Y9                 1.241      0.048     25.823      0.000
    Y10                1.281      0.050     25.659      0.000

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.992      0.074     13.341      0.000
    Y2                 0.869      0.073     11.941      0.000
    Y3                 0.871      0.068     12.888      0.000
    Y4                 1.021      0.078     13.126      0.000
    Y5                 0.914      0.074     12.276      0.000
    Y6                 0.876      0.075     11.649      0.000
    Y7                 1.095      0.083     13.265      0.000
    Y8                 1.194      0.090     13.233      0.000
    Y9                 0.991      0.076     13.044      0.000
    Y10                1.103      0.084     13.103      0.000

Group G2

 F1       BY
    Y1                 0.848      0.066     12.892      0.000
    Y2                 0.967      0.066     14.699      0.000
    Y3                 0.867      0.050     17.327      0.000
    Y4                 0.888      0.067     13.187      0.000
    Y5                 0.962      0.063     15.383      0.000
    Y6                -0.034      0.078     -0.433      0.665
    Y7                 0.006      0.009      0.711      0.477
    Y8                 0.060      0.082      0.741      0.459
    Y9                 0.044      0.077      0.573      0.567
    Y10               -0.050      0.080     -0.631      0.528

 F2       BY
    Y1                 0.034      0.072      0.471      0.638
    Y2                -0.070      0.072     -0.979      0.328
    Y3                 0.009      0.019      0.479      0.632
    Y4                 0.072      0.074      0.967      0.333
    Y5                -0.023      0.063     -0.357      0.721
    Y6                 1.105      0.072     15.296      0.000
    Y7                 0.959      0.054     17.847      0.000
    Y8                 1.029      0.074     13.898      0.000
    Y9                 0.937      0.070     13.382      0.000
    Y10                1.008      0.073     13.714      0.000

 F1       WITH
    F2                 0.544      0.056      9.674      0.000

 Means
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 Intercepts
    Y1                 1.069      0.046     23.069      0.000
    Y2                 1.225      0.046     26.791      0.000
    Y3                 1.172      0.046     25.733      0.000
    Y4                 1.131      0.048     23.656      0.000
    Y5                 1.185      0.047     25.147      0.000
    Y6                 1.273      0.050     25.497      0.000
    Y7                 1.295      0.049     26.186      0.000
    Y8                 1.352      0.052     26.174      0.000
    Y9                 1.241      0.048     25.823      0.000
    Y10                1.281      0.050     25.659      0.000

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 2.139      0.155     13.782      0.000
    Y2                 1.862      0.144     12.909      0.000
    Y3                 2.268      0.164     13.823      0.000
    Y4                 2.133      0.157     13.555      0.000
    Y5                 2.078      0.157     13.205      0.000
    Y6                 2.018      0.165     12.217      0.000
    Y7                 2.253      0.167     13.512      0.000
    Y8                 2.055      0.162     12.668      0.000
    Y9                 2.073      0.153     13.514      0.000
    Y10                2.224      0.170     13.076      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.188E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     TECHNICAL 1 OUTPUT FOR THE UNROTATED SOLUTION


     PARAMETER SPECIFICATION FOR G1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           LAMBDA
              F1            F2
              ________      ________
 Y1                11             0
 Y2                12            13
 Y3                14            15
 Y4                16            17
 Y5                18            19
 Y6                20            21
 Y7                22            23
 Y8                24            25
 Y9                26            27
 Y10               28            29


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                30
 Y2                 0            31
 Y3                 0             0            32
 Y4                 0             0             0            33
 Y5                 0             0             0             0            34
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                35
 Y7                 0            36
 Y8                 0             0            37
 Y9                 0             0             0            38
 Y10                0             0             0             0            39


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 0
 F2                 0             0


     PARAMETER SPECIFICATION FOR G2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           LAMBDA
              F1            F2
              ________      ________
 Y1                11             0
 Y2                12            13
 Y3                14            15
 Y4                16            17
 Y5                18            19
 Y6                20            21
 Y7                22            23
 Y8                24            25
 Y9                26            27
 Y10               28            29


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                40
 Y2                 0            41
 Y3                 0             0            42
 Y4                 0             0             0            43
 Y5                 0             0             0             0            44
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                45
 Y7                 0            46
 Y8                 0             0            47
 Y9                 0             0             0            48
 Y10                0             0             0             0            49


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 0
 F2                 0             0


     STARTING VALUES FOR G1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.907         1.113         1.040         0.949         1.041


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.959         1.032         1.091         0.987         1.008


           LAMBDA
              F1            F2
              ________      ________
 Y1             0.793         0.000
 Y2             0.883         0.112
 Y3             0.805        -0.039
 Y4             0.847        -0.011
 Y5             0.908         0.008
 Y6             0.375        -0.686
 Y7             0.402        -0.629
 Y8             0.455        -0.626
 Y9             0.407        -0.667
 Y10            0.283        -0.622


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.996
 Y2             0.000         0.852
 Y3             0.000         0.000         0.884
 Y4             0.000         0.000         0.000         1.024
 Y5             0.000         0.000         0.000         0.000         0.910
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.901
 Y7             0.000         1.111
 Y8             0.000         0.000         1.214
 Y9             0.000         0.000         0.000         0.973
 Y10            0.000         0.000         0.000         0.000         1.118


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.000         1.000


     STARTING VALUES FOR G2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.907         1.113         1.040         0.949         1.041


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.959         1.032         1.091         0.987         1.008


           LAMBDA
              F1            F2
              ________      ________
 Y1             0.924         0.000
 Y2             0.969         0.016
 Y3             0.948        -0.099
 Y4             0.973         0.067
 Y5             0.956        -0.077
 Y6             0.706         1.129
 Y7             0.564         0.937
 Y8             0.730         1.084
 Y9             0.648         0.843
 Y10            0.706         1.022


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             2.115
 Y2             0.000         1.871
 Y3             0.000         0.000         2.198
 Y4             0.000         0.000         0.000         2.131
 Y5             0.000         0.000         0.000         0.000         2.077
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             1.894
 Y7             0.000         2.223
 Y8             0.000         0.000         1.958
 Y9             0.000         0.000         0.000         2.089
 Y10            0.000         0.000         0.000         0.000         2.112


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.000         1.000


     TECHNICAL 1 OUTPUT FOR THE ROTATED SOLUTION


     PARAMETER SPECIFICATION FOR G1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           LAMBDA
              F1            F2
              ________      ________
 Y1                11            12
 Y2                13            14
 Y3                15            16
 Y4                17            18
 Y5                19            20
 Y6                21            22
 Y7                23            24
 Y8                25            26
 Y9                27            28
 Y10               29            30


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                31
 Y2                 0            32
 Y3                 0             0            33
 Y4                 0             0             0            34
 Y5                 0             0             0             0            35
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                36
 Y7                 0            37
 Y8                 0             0            38
 Y9                 0             0             0            39
 Y10                0             0             0             0            40


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 0
 F2                41             0


     PARAMETER SPECIFICATION FOR G2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           LAMBDA
              F1            F2
              ________      ________
 Y1                11            12
 Y2                13            14
 Y3                15            16
 Y4                17            18
 Y5                19            20
 Y6                21            22
 Y7                23            24
 Y8                25            26
 Y9                27            28
 Y10               29            30


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                42
 Y2                 0            43
 Y3                 0             0            44
 Y4                 0             0             0            45
 Y5                 0             0             0             0            46
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                47
 Y7                 0            48
 Y8                 0             0            49
 Y9                 0             0             0            50
 Y10                0             0             0             0            51


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 0
 F2                41             0


     STARTING VALUES FOR G1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.907         1.113         1.040         0.949         1.041


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.959         1.032         1.091         0.987         1.008


           LAMBDA
              F1            F2
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 Y5             0.000         0.000
 Y6             0.000         0.000
 Y7             0.000         0.000
 Y8             0.000         0.000
 Y9             0.000         0.000
 Y10            0.000         0.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.814
 Y2             0.000         0.824
 Y3             0.000         0.000         0.768
 Y4             0.000         0.000         0.000         0.872
 Y5             0.000         0.000         0.000         0.000         0.869
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.758
 Y7             0.000         0.835
 Y8             0.000         0.000         0.908
 Y9             0.000         0.000         0.000         0.794
 Y10            0.000         0.000         0.000         0.000         0.794


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.000         1.000


     STARTING VALUES FOR G2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.907         1.113         1.040         0.949         1.041


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         0.959         1.032         1.091         0.987         1.008


           LAMBDA
              F1            F2
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 Y5             0.000         0.000
 Y6             0.000         0.000
 Y7             0.000         0.000
 Y8             0.000         0.000
 Y9             0.000         0.000
 Y10            0.000         0.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.814
 Y2             0.000         0.824
 Y3             0.000         0.000         0.768
 Y4             0.000         0.000         0.000         0.872
 Y5             0.000         0.000         0.000         0.000         0.869
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.758
 Y7             0.000         0.835
 Y8             0.000         0.000         0.908
 Y9             0.000         0.000         0.000         0.794
 Y10            0.000         0.000         0.000         0.000         0.794


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             1.000
 F2             0.000         1.000


     Beginning Time:  22:55:32
        Ending Time:  22:55:32
       Elapsed Time:  00:00:00



MUTHEN & MUTHEN
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