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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level exploratory
  factor analysis with both individual- and
  cluster-level factor indicators
  DATA:	FILE = ex4.6.dat;
  VARIABLE:	NAMES = u1-u6 y1-y4 x1 x2 w clus;
  	USEVARIABLES = u1-u6 y1-y4;
  	CATEGORICAL = u1-u6;
  	CLUSTER = clus;
  	BETWEEN = y1-y4;
  ANALYSIS:	TYPE = TWOLEVEL EFA 1 2 UW 1 2 UB;
  SAVEDATA:	SWMATRIX = ex4.6sw.dat;



INPUT READING TERMINATED NORMALLY



this is an example of a two-level exploratory
factor analysis with both individual- and
cluster-level factor indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

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

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6

Variables with special functions

  Cluster variable      CLUS

  Between variables
   Y1          Y2          Y3          Y4


Estimator                                                    WLSMV
Rotation                                                    GEOMIN
Row standardization                                    CORRELATION
Type of rotation                                           OBLIQUE
Epsilon value                                               Varies
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                1000
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-02
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            10
  Minimum value for logit thresholds                           -10
  Minimum expected cell size for chi-square              0.100D-01
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
Optimization algorithm                                      EMA/FS
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                   7
  Dimensions of numerical integration                            0
  Adaptive quadrature                                           ON
Link                                                        PROBIT
Cholesky                                                        ON

Input data file(s)
  ex4.6.dat
Input data format  FREE


SUMMARY OF DATA

     Number of clusters                        110

     Average cluster size        9.091

     Estimated Intraclass Correlations for the Y Variables

                Intraclass              Intraclass              Intraclass
     Variable  Correlation   Variable  Correlation   Variable  Correlation

     U1           0.415      U2           0.370      U3           0.410
     U4           0.371      U5           0.407      U6           0.381



UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.476      476.000
      Category 2    0.524      524.000
    U2
      Category 1    0.447      447.000
      Category 2    0.553      553.000
    U3
      Category 1    0.473      473.000
      Category 2    0.527      527.000
    U4
      Category 1    0.479      479.000
      Category 2    0.521      521.000
    U5
      Category 1    0.490      490.000
      Category 2    0.510      510.000
    U6
      Category 1    0.513      513.000
      Category 2    0.487      487.000



RESULTS FOR EXPLORATORY FACTOR ANALYSIS


           EIGENVALUES FOR WITHIN LEVEL SAMPLE CORRELATION MATRIX
                  1             2             3             4             5
              ________      ________      ________      ________      ________
      1         3.089         1.552         0.439         0.357         0.322


           EIGENVALUES FOR WITHIN LEVEL SAMPLE CORRELATION MATRIX
                  6
              ________
      1         0.241


           EIGENVALUES FOR BETWEEN LEVEL SAMPLE CORRELATION MATRIX
                  1             2             3             4             5
              ________      ________      ________      ________      ________
      1         6.263         1.442         0.589         0.539         0.470


           EIGENVALUES FOR BETWEEN LEVEL SAMPLE CORRELATION MATRIX
                  6             7             8             9            10
              ________      ________      ________      ________      ________
      1         0.285         0.158         0.142         0.066         0.047


EXPLORATORY FACTOR ANALYSIS WITH 1 WITHIN FACTOR(S) AND 1 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       36

Chi-Square Test of Model Fit

          Value                            534.471*
          Degrees of Freedom                    44
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.106
          90 Percent C.I.                    0.098  0.114
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.438
          TLI                                0.234

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.179
          Value for Between                  0.101



MINIMUM ROTATION FUNCTION VALUE       2.91667



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.661*
 U2             0.634*
 U3             0.727*
 U4             0.739*
 U5             0.715*
 U6             0.701*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.564         0.598         0.472         0.454         0.488


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.509


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.039
 U2             0.038
 U3             0.030
 U4             0.037
 U5             0.035
 U6             0.034


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.052         0.048         0.043         0.055         0.050


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.048


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            16.806
 U2            16.852
 U3            24.388
 U4            19.759
 U5            20.508
 U6            20.669


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1        10.855        12.511        10.879         8.213         9.784


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1        10.713


EXPLORATORY FACTOR ANALYSIS WITH 1 WITHIN FACTOR(S) AND 1 BETWEEN FACTOR(S):



MINIMUM ROTATION FUNCTION VALUE       5.73490



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.826*
 U2             0.841*
 U3             0.870*
 U4             0.970*
 U5             0.835*
 U6             0.815*
 Y1             0.540*
 Y2             0.570*
 Y3             0.536*
 Y4             0.618*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.318         0.292         0.243         0.060         0.303


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.335         0.708         0.675         0.713         0.618


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.056
 U2             0.051
 U3             0.053
 U4             0.033
 U5             0.051
 U6             0.053
 Y1             0.071
 Y2             0.067
 Y3             0.076
 Y4             0.063


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.092         0.086         0.092         0.064         0.085


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.086         0.076         0.077         0.082         0.077


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            14.868
 U2            16.362
 U3            16.384
 U4            29.409
 U5            16.368
 U6            15.446
 Y1             7.643
 Y2             8.481
 Y3             7.015
 Y4             9.872


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         3.468         3.382         2.628         0.935         3.565


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         3.899         9.288         8.793         8.719         7.974


EXPLORATORY FACTOR ANALYSIS WITH 2 WITHIN FACTOR(S) AND 1 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       41

Chi-Square Test of Model Fit

          Value                            111.446*
          Degrees of Freedom                    39
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.043
          90 Percent C.I.                    0.034  0.053
          Probability RMSEA <= .05           0.880

CFI/TLI

          CFI                                0.917
          TLI                                0.872

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.017
          Value for Between                  0.101



MINIMUM ROTATION FUNCTION VALUE       0.16062



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.821*       -0.076
 U2             0.746*        0.011
 U3             0.854*        0.005
 U4            -0.063         0.876*
 U5             0.006         0.818*
 U6             0.012         0.801*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.425*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.373         0.436         0.268         0.275         0.327


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.350


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.058         0.065
 U2             0.049         0.055
 U3             0.045         0.019
 U4             0.063         0.054
 U5             0.019         0.044
 U6             0.046         0.043


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.059         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.058         0.069         0.072         0.067


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.058


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            14.188        -1.159
 U2            15.185         0.195
 U3            19.095         0.267
 U4            -0.994        16.218
 U5             0.304        18.464
 U6             0.254        18.565


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         7.207         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         5.167         7.581         3.858         3.825         4.882


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         6.034


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.789         0.273
 U2             0.751         0.328
 U3             0.856         0.368
 U4             0.310         0.850
 U5             0.353         0.821
 U6             0.352         0.806


EXPLORATORY FACTOR ANALYSIS WITH 2 WITHIN FACTOR(S) AND 1 BETWEEN FACTOR(S):



MINIMUM ROTATION FUNCTION VALUE       5.73491



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.826*
 U2             0.841*
 U3             0.870*
 U4             0.970*
 U5             0.835*
 U6             0.815*
 Y1             0.540*
 Y2             0.570*
 Y3             0.536*
 Y4             0.618*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.318         0.292         0.243         0.060         0.303


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.335         0.708         0.675         0.713         0.618


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.056
 U2             0.051
 U3             0.053
 U4             0.033
 U5             0.051
 U6             0.053
 Y1             0.071
 Y2             0.067
 Y3             0.076
 Y4             0.063


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.092         0.086         0.092         0.064         0.085


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.086         0.076         0.077         0.082         0.077


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            14.868
 U2            16.362
 U3            16.384
 U4            29.409
 U5            16.368
 U6            15.446
 Y1             7.643
 Y2             8.481
 Y3             7.015
 Y4             9.872


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         3.468         3.382         2.628         0.935         3.565


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         3.899         9.288         8.793         8.719         7.974


EXPLORATORY FACTOR ANALYSIS WITH UNRESTRICTED WITHIN COVARIANCE AND 1 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       30

Chi-Square Test of Model Fit

          Value                            107.993*
          Degrees of Freedom                    35
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.046
          90 Percent C.I.                    0.036  0.056
          Probability RMSEA <= .05           0.753

CFI/TLI

          CFI                                0.916
          TLI                                0.857

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.000
          Value for Between                  0.101



MINIMUM ROTATION FUNCTION VALUE       5.73490



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.826*
 U2             0.841*
 U3             0.870*
 U4             0.970*
 U5             0.835*
 U6             0.815*
 Y1             0.540*
 Y2             0.570*
 Y3             0.536*
 Y4             0.618*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.318         0.292         0.243         0.060         0.303


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.335         0.708         0.675         0.713         0.618


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.056
 U2             0.051
 U3             0.053
 U4             0.033
 U5             0.051
 U6             0.053
 Y1             0.071
 Y2             0.067
 Y3             0.076
 Y4             0.063


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.092         0.086         0.092         0.064         0.085


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.086         0.076         0.077         0.082         0.077


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            14.868
 U2            16.362
 U3            16.384
 U4            29.409
 U5            16.368
 U6            15.446
 Y1             7.643
 Y2             8.481
 Y3             7.015
 Y4             9.872


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         3.468         3.382         2.628         0.935         3.565


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         3.899         9.288         8.793         8.719         7.974


EXPLORATORY FACTOR ANALYSIS WITH 1 WITHIN FACTOR(S) AND 2 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       45

Chi-Square Test of Model Fit

          Value                            518.313*
          Degrees of Freedom                    35
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.118
          90 Percent C.I.                    0.109  0.127
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.446
          TLI                                0.051

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.179
          Value for Between                  0.032



MINIMUM ROTATION FUNCTION VALUE       2.91667



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.661*
 U2             0.634*
 U3             0.727*
 U4             0.739*
 U5             0.715*
 U6             0.701*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.564         0.598         0.472         0.454         0.488


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.509


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.039
 U2             0.038
 U3             0.030
 U4             0.037
 U5             0.035
 U6             0.034


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.052         0.048         0.043         0.055         0.050


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.048


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            16.806
 U2            16.852
 U3            24.388
 U4            19.759
 U5            20.508
 U6            20.669


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1        10.855        12.511        10.879         8.213         9.784


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1        10.713


EXPLORATORY FACTOR ANALYSIS WITH 1 WITHIN FACTOR(S) AND 2 BETWEEN FACTOR(S):



MINIMUM ROTATION FUNCTION VALUE       0.57654



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.898*        0.002
 U2             0.949*       -0.024
 U3             0.806*        0.136
 U4             0.745*        0.297*
 U5             0.862*        0.050
 U6             0.951*       -0.059
 Y1            -0.002         0.681*
 Y2             0.073         0.621*
 Y3            -0.058         0.751*
 Y4             0.014         0.771*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.590*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.193         0.125         0.203         0.095         0.203


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.158         0.538         0.555         0.483         0.392


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.042         0.011
 U2             0.087         0.124
 U3             0.087         0.109
 U4             0.100         0.123
 U5             0.096         0.147
 U6             0.107         0.149
 Y1             0.023         0.063
 Y2             0.103         0.095
 Y3             0.128         0.117
 Y4             0.096         0.088


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.115         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.062         0.074         0.056         0.066


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.077         0.083         0.084         0.101         0.087


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            21.372         0.139
 U2            10.879        -0.194
 U3             9.307         1.244
 U4             7.473         2.414
 U5             9.019         0.338
 U6             8.872        -0.396
 Y1            -0.087        10.742
 Y2             0.712         6.523
 Y3            -0.448         6.434
 Y4             0.151         8.733


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         5.133         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         2.666         2.037         2.734         1.710         3.078


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         2.050         6.482         6.622         4.769         4.524


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.899         0.531
 U2             0.935         0.536
 U3             0.886         0.611
 U4             0.921         0.737
 U5             0.892         0.558
 U6             0.916         0.502
 Y1             0.400         0.680
 Y2             0.440         0.665
 Y3             0.386         0.717
 Y4             0.469         0.780


EXPLORATORY FACTOR ANALYSIS WITH 2 WITHIN FACTOR(S) AND 2 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       50

Chi-Square Test of Model Fit

          Value                             32.018*
          Degrees of Freedom                    30
          P-Value                           0.3667

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.008
          90 Percent C.I.                    0.000  0.026
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                0.998
          TLI                                0.995

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.017
          Value for Between                  0.032



MINIMUM ROTATION FUNCTION VALUE       0.16062



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.821*       -0.076
 U2             0.746*        0.011
 U3             0.854*        0.005
 U4            -0.063         0.876*
 U5             0.006         0.818*
 U6             0.012         0.801*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.425*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.373         0.436         0.268         0.275         0.327


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.350


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.058         0.065
 U2             0.049         0.055
 U3             0.045         0.019
 U4             0.063         0.054
 U5             0.019         0.044
 U6             0.046         0.043


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.059         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.058         0.069         0.072         0.067


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.058


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            14.188        -1.159
 U2            15.185         0.195
 U3            19.095         0.267
 U4            -0.994        16.218
 U5             0.304        18.464
 U6             0.254        18.565


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         7.207         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         5.167         7.581         3.858         3.825         4.882


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         6.034


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.789         0.273
 U2             0.751         0.328
 U3             0.856         0.368
 U4             0.310         0.850
 U5             0.353         0.821
 U6             0.352         0.806


EXPLORATORY FACTOR ANALYSIS WITH 2 WITHIN FACTOR(S) AND 2 BETWEEN FACTOR(S):



MINIMUM ROTATION FUNCTION VALUE       0.57653



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.898*        0.002
 U2             0.949*       -0.024
 U3             0.806*        0.136
 U4             0.745*        0.297*
 U5             0.862*        0.050
 U6             0.951*       -0.059
 Y1            -0.002         0.681*
 Y2             0.073         0.621*
 Y3            -0.058         0.751*
 Y4             0.014         0.771*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.590*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.193         0.125         0.203         0.095         0.203


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.158         0.538         0.555         0.483         0.392


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.042         0.011
 U2             0.087         0.124
 U3             0.087         0.109
 U4             0.100         0.123
 U5             0.096         0.147
 U6             0.107         0.149
 Y1             0.023         0.063
 Y2             0.103         0.095
 Y3             0.128         0.117
 Y4             0.096         0.088


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.115         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.062         0.074         0.056         0.066


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.077         0.083         0.084         0.101         0.087


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            21.372         0.139
 U2            10.879        -0.194
 U3             9.307         1.244
 U4             7.473         2.414
 U5             9.019         0.338
 U6             8.872        -0.396
 Y1            -0.087        10.743
 Y2             0.712         6.523
 Y3            -0.448         6.434
 Y4             0.151         8.733


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         5.133         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         2.665         2.037         2.734         1.710         3.078


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         2.050         6.482         6.622         4.769         4.524


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.899         0.531
 U2             0.935         0.536
 U3             0.886         0.611
 U4             0.921         0.737
 U5             0.892         0.558
 U6             0.916         0.502
 Y1             0.400         0.680
 Y2             0.440         0.665
 Y3             0.386         0.717
 Y4             0.469         0.780


EXPLORATORY FACTOR ANALYSIS WITH UNRESTRICTED WITHIN COVARIANCE AND 2 BETWEEN FACTOR(S):


MODEL FIT INFORMATION

Number of Free Parameters                       39

Chi-Square Test of Model Fit

          Value                             26.424*
          Degrees of Freedom                    26
          P-Value                           0.4400

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.004
          90 Percent C.I.                    0.000  0.025
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                1.000
          TLI                                0.999

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.000
          Value for Between                  0.032



MINIMUM ROTATION FUNCTION VALUE       0.57653



BETWEEN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.898*        0.002
 U2             0.949*       -0.024
 U3             0.806*        0.136
 U4             0.745*        0.297*
 U5             0.862*        0.050
 U6             0.951*       -0.059
 Y1            -0.002         0.681*
 Y2             0.073         0.621*
 Y3            -0.058         0.751*
 Y4             0.014         0.771*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.590*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.193         0.125         0.203         0.095         0.203


           ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.158         0.538         0.555         0.483         0.392


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.042         0.011
 U2             0.087         0.124
 U3             0.087         0.109
 U4             0.100         0.123
 U5             0.096         0.147
 U6             0.107         0.149
 Y1             0.023         0.063
 Y2             0.103         0.095
 Y3             0.128         0.117
 Y4             0.096         0.088


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.115         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.062         0.074         0.056         0.066


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         0.077         0.083         0.084         0.101         0.087


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            21.372         0.139
 U2            10.879        -0.194
 U3             9.307         1.244
 U4             7.473         2.414
 U5             9.019         0.338
 U6             8.872        -0.396
 Y1            -0.087        10.742
 Y2             0.712         6.523
 Y3            -0.449         6.434
 Y4             0.151         8.733


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         5.133         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         2.666         2.037         2.734         1.710         3.078


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
      1         2.050         6.482         6.622         4.769         4.524


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.899         0.531
 U2             0.935         0.536
 U3             0.886         0.611
 U4             0.921         0.737
 U5             0.892         0.558
 U6             0.916         0.502
 Y1             0.400         0.680
 Y2             0.440         0.665
 Y3             0.386         0.717
 Y4             0.469         0.780


EXPLORATORY FACTOR ANALYSIS WITH 1 WITHIN FACTOR(S) AND UNRESTRICTED BETWEEN COVARIANCE:


MODEL FIT INFORMATION

Number of Free Parameters                       16

Chi-Square Test of Model Fit

          Value                            268.038*
          Degrees of Freedom                     9
          P-Value                           0.0000

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.170
          90 Percent C.I.                    0.152  0.187
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                0.703
          TLI                               -0.979

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.179
          Value for Between                  0.000



MINIMUM ROTATION FUNCTION VALUE       2.91667



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1
              ________
 U1             0.661*
 U2             0.634*
 U3             0.727*
 U4             0.739*
 U5             0.715*
 U6             0.701*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1
              ________
      1         1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.564         0.598         0.472         0.454         0.488


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.509


           S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1             0.039
 U2             0.038
 U3             0.030
 U4             0.037
 U5             0.035
 U6             0.034


           S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.052         0.048         0.043         0.055         0.050


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.048


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1
              ________
 U1            16.806
 U2            16.852
 U3            24.388
 U4            19.759
 U5            20.508
 U6            20.669


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1
              ________
      1         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1        10.855        12.511        10.879         8.213         9.784


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1        10.713


EXPLORATORY FACTOR ANALYSIS WITH 2 WITHIN FACTOR(S) AND UNRESTRICTED BETWEEN COVARIANCE:


MODEL FIT INFORMATION

Number of Free Parameters                       21

Chi-Square Test of Model Fit

          Value                              4.924*
          Degrees of Freedom                     4
          P-Value                           0.2952

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.015
          90 Percent C.I.                    0.000  0.052
          Probability RMSEA <= .05           0.936

CFI/TLI

          CFI                                0.999
          TLI                                0.984

Chi-Square Test of Model Fit for the Baseline Model

          Value                            932.834
          Degrees of Freedom                    60
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.017
          Value for Between                  0.000



MINIMUM ROTATION FUNCTION VALUE       0.16062



WITHIN LEVEL RESULTS



           GEOMIN ROTATED LOADINGS (* significant at 5% level)
                  1             2
              ________      ________
 U1             0.821*       -0.076
 U2             0.746*        0.011
 U3             0.854*        0.005
 U4            -0.063         0.876*
 U5             0.006         0.818*
 U6             0.012         0.801*


           GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
                  1             2
              ________      ________
      1         1.000
      2         0.425*        1.000


           ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.373         0.436         0.268         0.275         0.327


           ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.350


           S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1             0.058         0.065
 U2             0.049         0.055
 U3             0.045         0.019
 U4             0.063         0.054
 U5             0.019         0.044
 U6             0.046         0.043


           S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         0.059         0.000


           S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.072         0.058         0.069         0.072         0.067


           S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         0.058


           Est./S.E. GEOMIN ROTATED LOADINGS
                  1             2
              ________      ________
 U1            14.188        -1.159
 U2            15.185         0.195
 U3            19.096         0.267
 U4            -0.994        16.218
 U5             0.304        18.464
 U6             0.254        18.565


           Est./S.E. GEOMIN FACTOR CORRELATIONS
                  1             2
              ________      ________
      1         0.000
      2         7.207         0.000


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         5.167         7.581         3.858         3.825         4.882


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              U6
              ________
      1         6.034


           FACTOR STRUCTURE
                  1             2
              ________      ________
 U1             0.789         0.273
 U2             0.751         0.328
 U3             0.856         0.368
 U4             0.310         0.850
 U5             0.353         0.821
 U6             0.352         0.806


SAVEDATA INFORMATION


  Within and between sample statistics with Weight matrix

  Save file
    ex4.6sw.dat
  Save format      Free

     Beginning Time:  14:40:23
        Ending Time:  14:40:31
       Elapsed Time:  00:00:08



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2014 Muthen & Muthen

Back to examples