Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   3:07 PM

INPUT INSTRUCTIONS

  TITLE:	two-level path analysis with a continuous,
  a categorical, and a cluster-level observed dependent variable
  DATA:	FILE = ex9.4.dat;
  VARIABLE:	NAMES ARE u z y x w clus;
  	CATEGORICAL = u;
  	WITHIN = x;
  	BETWEEN = w z;
  	CLUSTER = clus;
  ANALYSIS:	TYPE = TWOLEVEL;
  	ESTIMATOR = WLSM;
  MODEL:	
  	%WITHIN%
  	u ON y x;
  	y ON x;
  	%BETWEEN%
  	u ON w y z;
  	y ON w;
  	z ON w;
  	y WITH z;
  OUTPUT:	TECH1;





INPUT READING TERMINATED NORMALLY



two-level path analysis with a continuous,
a categorical, and a cluster-level observed dependent variable

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of dependent variables                                    3
Number of independent variables                                  2
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Z           Y

  Binary and ordered categorical (ordinal)
   U

Observed independent variables
   X           W

Variables with special functions

  Cluster variable      CLUS

  Within variables
   X

  Between variables
   Z           W


Estimator                                                     WLSM
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 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)
  ex9.4.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

     U            0.695      Y            0.468



UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U
      Category 1    0.478      478.000
      Category 2    0.522      522.000



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       16

Chi-Square Test of Model Fit

          Value                              0.000*
          Degrees of Freedom                     0
          P-Value                           0.0000
          Scaling Correction Factor         1.0000
            for WLSM

*   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

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                            589.633
          Degrees of Freedom                     9
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value for Within                   0.000
          Value for Between                  0.000

WRMR (Weighted Root Mean Square Residual)

          Value                              0.000



MODEL RESULTS

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

Within Level

 U          ON
    Y                  0.653      0.074      8.871      0.000
    X                  0.428      0.068      6.275      0.000

 Y          ON
    X                  0.221      0.033      6.785      0.000

 Residual Variances
    Y                  0.965      0.052     18.642      0.000

Between Level

 U          ON
    W                  0.922      0.128      7.217      0.000
    Y                  0.483      0.162      2.984      0.003
    Z                  0.656      0.159      4.120      0.000

 Y          ON
    W                  0.549      0.070      7.817      0.000

 Z          ON
    W                  0.683      0.062     11.103      0.000

 Y        WITH
    Z                  0.278      0.070      3.977      0.000

 Intercepts
    Z                 -0.060      0.072     -0.836      0.403
    Y                  0.011      0.079      0.139      0.889

 Thresholds
    U$1               -0.006      0.172     -0.034      0.973

 Residual Variances
    U                  0.220      0.100      2.204      0.028
    Z                  0.567      0.084      6.765      0.000
    Y                  0.530      0.109      4.842      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.391E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           TAU
              U$1
              ________
 1                  0


           NU
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0             0             0             0             0
 Z                  0             0             0             0             0
 Y                  0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0
 Z                  0             0
 Y                  0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           BETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0             0             1             2             0
 Z                  0             0             0             0             0
 Y                  0             0             0             3             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0
 Z                  0             0
 Y                  0             0             4
 X                  0             0             0             0
 W                  0             0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN


           TAU
              U$1
              ________
 1                 16


           NU
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0             0             0             0             0
 Z                  0             0             0             0             0
 Y                  0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0
 Z                  0             0
 Y                  0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1                  0             5             6             0             0


           BETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                  0             7             8             0             9
 Z                  0             0             0             0            10
 Y                  0             0             0             0            11
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U                 12
 Z                  0            13
 Y                  0            14            15
 X                  0             0             0             0
 W                  0             0             0             0             0


     STARTING VALUES FOR WITHIN


           TAU
              U$1
              ________
 1              0.000


           NU
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              1.000         0.000         0.000         0.000         0.000
 Z              0.000         1.000         0.000         0.000         0.000
 Y              0.000         0.000         1.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              0.000
 Z              0.000         0.000
 Y              0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000
 Y              0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              1.000
 Z              0.000         0.000
 Y              0.000         0.000         0.917
 X              0.000         0.000         0.000         0.523
 W              0.000         0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN


           TAU
              U$1
              ________
 1             -0.049


           NU
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              1.000         0.000         0.000         0.000         0.000
 Z              0.000         1.000         0.000         0.000         0.000
 Y              0.000         0.000         1.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              0.000
 Z              0.000         0.000
 Y              0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 1              0.000        -0.014         0.076         0.000         0.000


           BETA
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000
 Y              0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              U             Z             Y             X             W
              ________      ________      ________      ________      ________
 U              1.000
 Z              0.000         0.534
 Y              0.000         0.000         0.917
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.595


     Beginning Time:  15:07:21
        Ending Time:  15:07:21
       Elapsed Time:  00:00:00



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