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 no measurement 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-f2@0];
  MODEL g2:	f1-f2 BY y1-y10 (*1);
  	[y1-y10];
  OUTPUT:	TECH1;





INPUT READING TERMINATED NORMALLY



this is an example of multiple-group EFA
with continuous factor indicators
with no measurement 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                                    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)
  ex5.27.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       78

Loglikelihood

          H0 Value                      -17300.588
          H1 Value                      -17268.681

Information Criteria

          Akaike (AIC)                   34757.177
          Bayesian (BIC)                 35139.982
          Sample-Size Adjusted BIC       34892.249
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             63.815
          Degrees of Freedom                    52
          P-Value                           0.1261

Chi-Square Contributions From Each Group

          G1                                33.275
          G2                                30.540

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.021
          90 Percent C.I.                    0.000  0.037
          Probability RMSEA <= .05           0.999

CFI/TLI

          CFI                                0.994
          TLI                                0.990

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                              0.019



MODEL RESULTS

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

Group G1

 F1       BY
    Y1                 0.791      0.066     12.029      0.000
    Y2                 0.947      0.074     12.792      0.000
    Y3                 0.780      0.069     11.236      0.000
    Y4                 0.838      0.073     11.539      0.000
    Y5                 0.911      0.065     14.119      0.000
    Y6                -0.032      0.072     -0.448      0.654
    Y7                 0.029      0.080      0.362      0.717
    Y8                 0.084      0.086      0.970      0.332
    Y9                 0.011      0.022      0.524      0.600
    Y10               -0.085      0.078     -1.094      0.274

 F2       BY
    Y1                 0.004      0.051      0.075      0.941
    Y2                -0.125      0.076     -1.652      0.098
    Y3                 0.049      0.072      0.678      0.498
    Y4                 0.017      0.072      0.236      0.813
    Y5                -0.005      0.044     -0.104      0.917
    Y6                 0.798      0.074     10.736      0.000
    Y7                 0.731      0.081      8.993      0.000
    Y8                 0.728      0.085      8.609      0.000
    Y9                 0.776      0.064     12.054      0.000
    Y10                0.722      0.078      9.250      0.000

 F2       WITH
    F1                 0.507      0.065      7.824      0.000

 Means
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 Intercepts
    Y1                 0.907      0.057     15.907      0.000
    Y2                 1.113      0.057     19.407      0.000
    Y3                 1.040      0.055     18.775      0.000
    Y4                 0.949      0.059     16.085      0.000
    Y5                 1.041      0.059     17.678      0.000
    Y6                 0.959      0.055     17.432      0.000
    Y7                 1.032      0.058     17.872      0.000
    Y8                 1.091      0.060     18.112      0.000
    Y9                 0.987      0.056     17.543      0.000
    Y10                1.008      0.056     17.915      0.000

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.996      0.075     13.217      0.000
    Y2                 0.852      0.075     11.349      0.000
    Y3                 0.884      0.068     12.936      0.000
    Y4                 1.024      0.079     12.967      0.000
    Y5                 0.910      0.076     12.029      0.000
    Y6                 0.901      0.078     11.528      0.000
    Y7                 1.110      0.086     12.853      0.000
    Y8                 1.214      0.093     13.113      0.000
    Y9                 0.973      0.081     12.047      0.000
    Y10                1.118      0.086     12.999      0.000

Group G2

 F1       BY
    Y1                 0.916      0.095      9.627      0.000
    Y2                 0.950      0.117      8.115      0.000
    Y3                 1.006      0.125      8.022      0.000
    Y4                 0.921      0.126      7.325      0.000
    Y5                 0.999      0.122      8.203      0.000
    Y6                -0.041      0.117     -0.352      0.725
    Y7                -0.055      0.117     -0.473      0.636
    Y8                 0.012      0.039      0.310      0.757
    Y9                 0.089      0.120      0.740      0.459
    Y10                0.029      0.115      0.251      0.801

 F2       BY
    Y1                 0.014      0.034      0.424      0.671
    Y2                 0.034      0.115      0.300      0.764
    Y3                -0.103      0.128     -0.805      0.421
    Y4                 0.094      0.130      0.720      0.472
    Y5                -0.077      0.124     -0.619      0.536
    Y6                 1.354      0.114     11.849      0.000
    Y7                 1.123      0.113      9.959      0.000
    Y8                 1.301      0.092     14.097      0.000
    Y9                 1.012      0.112      9.064      0.000
    Y10                1.227      0.114     10.768      0.000

 F2       WITH
    F1                 0.542      0.072      7.485      0.000

 Means
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 Intercepts
    Y1                 1.263      0.077     16.394      0.000
    Y2                 1.319      0.075     17.597      0.000
    Y3                 1.303      0.079     16.530      0.000
    Y4                 1.349      0.079     17.180      0.000
    Y5                 1.333      0.077     17.214      0.000
    Y6                 1.673      0.086     19.526      0.000
    Y7                 1.603      0.083     19.387      0.000
    Y8                 1.624      0.086     18.964      0.000
    Y9                 1.528      0.080     19.048      0.000
    Y10                1.603      0.086     18.742      0.000

 Variances
    F1                 1.000      0.000    999.000    999.000
    F2                 1.000      0.000    999.000    999.000

 Residual Variances
    Y1                 2.115      0.164     12.880      0.000
    Y2                 1.872      0.154     12.135      0.000
    Y3                 2.197      0.178     12.361      0.000
    Y4                 2.131      0.166     12.839      0.000
    Y5                 2.077      0.170     12.211      0.000
    Y6                 1.894      0.167     11.359      0.000
    Y7                 2.224      0.169     13.176      0.000
    Y8                 1.958      0.166     11.793      0.000
    Y9                 2.089      0.154     13.571      0.000
    Y10                2.112      0.168     12.548      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.291E-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          40            41            42            43            44


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1          45            46            47            48            49


           LAMBDA
              F1            F2
              ________      ________
 Y1                50             0
 Y2                51            52
 Y3                53            54
 Y4                55            56
 Y5                57            58
 Y6                59            60
 Y7                61            62
 Y8                63            64
 Y9                65            66
 Y10               67            68


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                69
 Y2                 0            70
 Y3                 0             0            71
 Y4                 0             0             0            72
 Y5                 0             0             0             0            73
 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                74
 Y7                 0            75
 Y8                 0             0            76
 Y9                 0             0             0            77
 Y10                0             0             0             0            78


           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          42            43            44            45            46


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1          47            48            49            50            51


           LAMBDA
              F1            F2
              ________      ________
 Y1                52            53
 Y2                54            55
 Y3                56            57
 Y4                58            59
 Y5                60            61
 Y6                62            63
 Y7                64            65
 Y8                66            67
 Y9                68            69
 Y10               70            71


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                72
 Y2                 0            73
 Y3                 0             0            74
 Y4                 0             0             0            75
 Y5                 0             0             0             0            76
 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                77
 Y7                 0            78
 Y8                 0             0            79
 Y9                 0             0             0            80
 Y10                0             0             0             0            81


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                 0
 F2                82             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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