Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:11 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a threshold
  	structure CFA for categorical factor indicators
  DATA:	FILE IS ex5.10.dat;
  VARIABLE:	NAMES ARE  u1a-u1c u2a-u2c;
  	CATEGORICAL ARE u1a-u1c u2a-u2c;
  MODEL:	f1 BY u1a u1b@1 u1c@1;
  	f2 BY u2a u2b@1 u2c@1;
  	[u1a$1 u1b$1 u1c$1] (1);	
  	[u2a$1 u2b$1 u2c$1] (2);



INPUT READING TERMINATED NORMALLY



this is an example of a threshold
structure CFA for categorical factor indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    6
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1A         U1B         U1C         U2A         U2B         U2C

Continuous latent variables
   F1          F2


Estimator                                                    WLSMV
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Parameterization                                             DELTA
Link                                                        PROBIT

Input data file(s)
  ex5.10.dat

Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1A
      Category 1    0.316          158.000
      Category 2    0.684          342.000
    U1B
      Category 1    0.282          141.000
      Category 2    0.718          359.000
    U1C
      Category 1    0.312          156.000
      Category 2    0.688          344.000
    U2A
      Category 1    0.718          359.000
      Category 2    0.282          141.000
    U2B
      Category 1    0.704          352.000
      Category 2    0.296          148.000
    U2C
      Category 1    0.694          347.000
      Category 2    0.306          153.000



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                        5

Chi-Square Test of Model Fit

          Value                             15.119*
          Degrees of Freedom                    16
          P-Value                           0.5159

*   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                           0.000
          90 Percent C.I.                    0.000  0.039
          Probability RMSEA <= .05           0.992

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                            406.672
          Degrees of Freedom                    15
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.044

Optimum Function Value for Weighted Least-Squares Estimator

          Value                     0.11568994D-01



MODEL RESULTS

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

 F1       BY
    U1A                1.000      0.000    999.000    999.000
    U1B                1.000      0.000    999.000    999.000
    U1C                1.000      0.000    999.000    999.000

 F2       BY
    U2A                1.000      0.000    999.000    999.000
    U2B                1.000      0.000    999.000    999.000
    U2C                1.000      0.000    999.000    999.000

 F2       WITH
    F1                 0.176      0.040      4.400      0.000

 Thresholds
    U1A$1             -0.515      0.043    -11.874      0.000
    U1B$1             -0.515      0.043    -11.874      0.000
    U1C$1             -0.515      0.043    -11.874      0.000
    U2A$1              0.540      0.044     12.247      0.000
    U2B$1              0.540      0.044     12.247      0.000
    U2C$1              0.540      0.044     12.247      0.000

 Variances
    F1                 0.494      0.043     11.453      0.000
    F2                 0.526      0.044     12.078      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.504E+00
       (ratio of smallest to largest eigenvalue)


R-SQUARE

    Observed                   Residual
    Variable        Estimate   Variance

    U1A                0.494      0.506
    U1B                0.494      0.506
    U1C                0.494      0.506
    U2A                0.526      0.474
    U2B                0.526      0.474
    U2C                0.526      0.474


     Beginning Time:  23:11:08
        Ending Time:  23:11:08
       Elapsed Time:  00:00:00



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