Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  11:12 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level SEM with
  	continuous factor indicators and a random
  	slope for a factor
  DATA: 	FILE IS ex9.10.dat;
  VARIABLE:	NAMES ARE y1-y5 w clus;
  	BETWEEN = w;
  	CLUSTER = clus;
  ANALYSIS:	TYPE = TWOLEVEL RANDOM;
  	ALGORITHM = INTEGRATION;
  	INTEGRATION = 10;
  MODEL:
  	%WITHIN%
  	fw BY y1-y4;
  	s | y5 ON fw;
  	%BETWEEN%
  	fb BY y1-y4;
  	y1-y4@0;
  	y5 s ON fb w;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a two-level SEM with
continuous factor indicators and a random
slope for a factor

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    5
Number of independent variables                                  1
Number of continuous latent variables                            3

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5

Observed independent variables
   W

Continuous latent variables
   FW          FB          S

Variables with special functions

  Cluster variable      CLUS

  Between variables
   W


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  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                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  10
  Dimensions of numerical integration                            4
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

Input data file(s)
  ex9.10.dat
Input data format  FREE


SUMMARY OF DATA

     Number of clusters                         90




THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       25

Loglikelihood

          H0 Value                       -4009.729
          H0 Scaling Correction Factor      0.9481
            for MLR

Information Criteria

          Akaike (AIC)                    8069.458
          Bayesian (BIC)                  8174.823
          Sample-Size Adjusted BIC        8095.472
            (n* = (n + 2) / 24)



MODEL RESULTS

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

Within Level

 FW       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.286      0.119     10.813      0.000
    Y3                 1.199      0.098     12.281      0.000
    Y4                 1.262      0.096     13.200      0.000

 Variances
    FW                 0.732      0.112      6.539      0.000

 Residual Variances
    Y1                 1.041      0.083     12.502      0.000
    Y2                 0.911      0.060     15.276      0.000
    Y3                 0.983      0.081     12.151      0.000
    Y4                 0.995      0.069     14.392      0.000
    Y5                 0.475      0.046     10.400      0.000

Between Level

 FB       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 0.978      0.094     10.403      0.000
    Y3                 1.085      0.093     11.629      0.000
    Y4                 1.007      0.125      8.045      0.000

 S          ON
    FB                -0.029      0.192     -0.151      0.880

 S          ON
    W                  0.366      0.109      3.350      0.001

 Y5         ON
    FB                 0.450      0.142      3.181      0.001

 Y5         ON
    W                  0.630      0.072      8.801      0.000

 Intercepts
    Y1                -0.074      0.096     -0.765      0.444
    Y2                -0.015      0.096     -0.154      0.878
    Y3                 0.005      0.103      0.044      0.965
    Y4                -0.029      0.099     -0.294      0.769
    Y5                -0.026      0.089     -0.286      0.775
    S                  1.232      0.122     10.070      0.000

 Variances
    FB                 0.455      0.111      4.110      0.000

 Residual Variances
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    Y5                 0.203      0.057      3.554      0.000
    S                  0.579      0.124      4.657      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.283E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              W
              ________
 1                  0


           LAMBDA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 1             0             0             0             0
 Y3                 2             0             0             0             0
 Y4                 3             0             0             0             0
 Y5                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 4
 Y2                 0             5
 Y3                 0             0             6
 Y4                 0             0             0             7
 Y5                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           BETA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW                 0             0             0             0             0
 FB                 0             0             0             0             0
 S                  0             0             0             0             0
 Y5                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW                 8
 FB                 0             0
 S                  0             0             0
 Y5                 0             0             0             9
 W                  0             0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                 10            11            12            13             0


           NU
              W
              ________
 1                  0


           LAMBDA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0            14             0             0             0
 Y3                 0            15             0             0             0
 Y4                 0            16             0             0             0
 Y5                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 Y5                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 1                  0             0            17            18             0


           BETA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW                 0             0             0             0             0
 FB                 0             0             0             0             0
 S                  0            19             0             0            20
 Y5                 0            21             0             0            22
 W                  0             0             0             0             0


           PSI
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW                 0
 FB                 0            23
 S                  0             0            24
 Y5                 0             0             0            25
 W                  0             0             0             0             0


     STARTING VALUES FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             1.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.126
 Y2             0.000         1.288
 Y3             0.000         0.000         1.296
 Y4             0.000         0.000         0.000         1.321
 Y5             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW             0.000         0.000         0.000         0.000         0.000
 FB             0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW             0.050
 FB             0.000         0.000
 S              0.000         0.000         0.000
 Y5             0.000         0.000         0.000         1.394
 W              0.000         0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1             -0.151        -0.101        -0.084        -0.116         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 Y1             0.000         1.000         0.000         0.000         0.000
 Y2             0.000         1.000         0.000         0.000         0.000
 Y3             0.000         1.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000        -0.128         0.000


           BETA
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW             0.000         0.000         0.000         0.000         0.000
 FB             0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              FW            FB            S             Y5            W
              ________      ________      ________      ________      ________
 FW             0.000
 FB             0.000         0.050
 S              0.000         0.000         1.000
 Y5             0.000         0.000         0.000         1.394
 W              0.000         0.000         0.000         0.000         0.525


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.46475997D+04    0.0000000    0.0000000  EM
              2 -0.42610398D+04  386.5598199    0.0831741  EM
              3 -0.41477782D+04  113.2616079    0.0265807  EM
              4 -0.40971647D+04   50.6134934    0.0122026  EM
              5 -0.40726917D+04   24.4730469    0.0059732  EM
              6 -0.40604110D+04   12.2806529    0.0030154  EM
              7 -0.40538854D+04    6.5255948    0.0016071  EM
              8 -0.40499281D+04    3.9573553    0.0009762  EM
              9 -0.40471532D+04    2.7748933    0.0006852  EM
             10 -0.40449771D+04    2.1760928    0.0005377  EM
             11 -0.40431366D+04    1.8404907    0.0004550  EM
             12 -0.40415018D+04    1.6348336    0.0004043  EM
             13 -0.40400039D+04    1.4978791    0.0003706  EM
             14 -0.40386047D+04    1.3991868    0.0003463  EM
             15 -0.40372817D+04    1.3229962    0.0003276  EM
             16 -0.40360207D+04    1.2609729    0.0003123  EM
             17 -0.40348121D+04    1.2086022    0.0002995  EM
             18 -0.40336489D+04    1.1632746    0.0002883  EM
             19 -0.40325255D+04    1.1233604    0.0002785  EM
             20 -0.40314377D+04    1.0877564    0.0002697  EM
             21 -0.40303822D+04    1.0555386    0.0002618  EM
             22 -0.40293563D+04    1.0259570    0.0002546  EM
             23 -0.40283579D+04    0.9983479    0.0002478  EM
             24 -0.40273858D+04    0.9721460    0.0002413  EM
             25 -0.40264390D+04    0.9468028    0.0002351  EM
             26 -0.40255171D+04    0.9218925    0.0002290  EM
             27 -0.40246200D+04    0.8970529    0.0002228  EM
             28 -0.40237481D+04    0.8719579    0.0002167  EM
             29 -0.40229017D+04    0.8464017    0.0002104  EM
             30 -0.40220814D+04    0.8202084    0.0002039  EM
             31 -0.40212882D+04    0.7932663    0.0001972  EM
             32 -0.40205226D+04    0.7655277    0.0001904  EM
             33 -0.40197857D+04    0.7369900    0.0001833  EM
             34 -0.40190780D+04    0.7076921    0.0001761  EM
             35 -0.40184003D+04    0.6777095    0.0001686  EM
             36 -0.40177531D+04    0.6471515    0.0001610  EM
             37 -0.40171370D+04    0.6161488    0.0001534  EM
             38 -0.40165521D+04    0.5848491    0.0001456  EM
             39 -0.40159987D+04    0.5534199    0.0001378  EM
             40 -0.40154767D+04    0.5220336    0.0001300  EM
             41 -0.40149858D+04    0.4908626    0.0001222  EM
             42 -0.40145257D+04    0.4600767    0.0001146  EM
             43 -0.40140959D+04    0.4298339    0.0001071  EM
             44 -0.40136956D+04    0.4003017    0.0000997  EM
             45 -0.40133240D+04    0.3716257    0.0000926  EM
             46 -0.40129800D+04    0.3439259    0.0000857  EM
             47 -0.40126627D+04    0.3173097    0.0000791  EM
             48 -0.40123709D+04    0.2918556    0.0000727  EM
             49 -0.40121032D+04    0.2676530    0.0000667  EM
             50 -0.40118585D+04    0.2447480    0.0000610  EM
             51 -0.40116353D+04    0.2231715    0.0000556  EM
             52 -0.40114323D+04    0.2029410    0.0000506  EM
             53 -0.40112483D+04    0.1840593    0.0000459  EM
             54 -0.40110818D+04    0.1665070    0.0000415  EM
             55 -0.40109315D+04    0.1502606    0.0000375  EM
             56 -0.40107962D+04    0.1352801    0.0000337  EM
             57 -0.40106747D+04    0.1215190    0.0000303  EM
             58 -0.40105658D+04    0.1089239    0.0000272  EM
             59 -0.40104684D+04    0.0974336    0.0000243  EM
             60 -0.40103814D+04    0.0869860    0.0000217  EM
             61 -0.40103039D+04    0.0775150    0.0000193  EM
             62 -0.40101201D+04    0.1837482    0.0000458  QN
             63 -0.40099880D+04    0.1320869    0.0000329  EM
             64 -0.40099459D+04    0.0420890    0.0000105  EM
             65 -0.40099150D+04    0.0309318    0.0000077  EM
             66 -0.40098896D+04    0.0254539    0.0000063  EM
             67 -0.40098679D+04    0.0216872    0.0000054  EM
             68 -0.40098491D+04    0.0187290    0.0000047  EM
             69 -0.40098329D+04    0.0162677    0.0000041  EM
             70 -0.40098187D+04    0.0141655    0.0000035  EM
             71 -0.40098064D+04    0.0123486    0.0000031  EM
             72 -0.40097956D+04    0.0107698    0.0000027  EM
             73 -0.40097862D+04    0.0093925    0.0000023  EM
             74 -0.40097780D+04    0.0081900    0.0000020  EM
             75 -0.40097709D+04    0.0071400    0.0000018  EM
             76 -0.40097508D+04    0.0200449    0.0000050  QN
             77 -0.40097381D+04    0.0126824    0.0000032  EM
             78 -0.40097356D+04    0.0025595    0.0000006  EM
             79 -0.40097338D+04    0.0017960    0.0000004  EM
             80 -0.40097323D+04    0.0014801    0.0000004  EM
             81 -0.40097310D+04    0.0012593    0.0000003  EM
             82 -0.40097300D+04    0.0010815    0.0000003  EM
             83 -0.40097290D+04    0.0009324    0.0000002  EM


     Beginning Time:  23:12:41
        Ending Time:  23:15:07
       Elapsed Time:  00:02:26



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