Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:55 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a SEM with
  	continuous factor indicators and an
  	interaction between two latent variables
  DATA:	FILE IS ex5.13.dat;
  VARIABLE:	NAMES ARE y1-y12;
  ANALYSIS:	TYPE = RANDOM;
  	ALGORITHM = INTEGRATION;
  MODEL:	f1 BY y1-y3;
  	f2 BY y4-y6;
  	f3 BY y7-y9;
  	f4 BY y10-y12;
  	f4 ON f3;
  	f3 ON f1 f2;
  	f1xf2 | f1 XWITH f2;
  	f3 ON f1xf2;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a SEM with
continuous factor indicators and an
interaction between two latent variables

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                   12
Number of independent variables                                  0
Number of continuous latent variables                            5

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10         Y11         Y12

Continuous latent variables
   F1          F2          F3          F4          F1XF2


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                                  15
  Dimensions of numerical integration                            2
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

Input data file(s)
  ex5.13.dat
Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       41

Loglikelihood

          H0 Value                       -9672.065
          H0 Scaling Correction Factor      1.0047
            for MLR

Information Criteria

          Akaike (AIC)                   19426.131
          Bayesian (BIC)                 19598.930
          Sample-Size Adjusted BIC       19468.793
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 F1       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.031      0.076     13.658      0.000
    Y3                 1.071      0.081     13.212      0.000

 F2       BY
    Y4                 1.000      0.000    999.000    999.000
    Y5                 0.856      0.072     11.807      0.000
    Y6                 0.762      0.080      9.500      0.000

 F3       BY
    Y7                 1.000      0.000    999.000    999.000
    Y8                 0.910      0.049     18.423      0.000
    Y9                 0.918      0.058     15.832      0.000

 F4       BY
    Y10                1.000      0.000    999.000    999.000
    Y11                0.671      0.070      9.608      0.000
    Y12                0.542      0.059      9.246      0.000

 F4         ON
    F3                 0.585      0.050     11.679      0.000

 F3         ON
    F1                 0.439      0.066      6.676      0.000
    F2                 0.812      0.085      9.587      0.000
    F1XF2              0.397      0.062      6.385      0.000

 F2       WITH
    F1                 0.054      0.069      0.780      0.435

 Intercepts
    Y1                -0.011      0.066     -0.162      0.871
    Y2                -0.011      0.066     -0.162      0.871
    Y3                -0.021      0.066     -0.325      0.746
    Y4                -0.118      0.063     -1.876      0.061
    Y5                -0.083      0.056     -1.475      0.140
    Y6                -0.104      0.057     -1.838      0.066
    Y7                -0.082      0.073     -1.123      0.261
    Y8                -0.096      0.066     -1.458      0.145
    Y9                -0.119      0.066     -1.798      0.072
    Y10                0.030      0.066      0.450      0.653
    Y11               -0.023      0.056     -0.401      0.688
    Y12               -0.013      0.054     -0.235      0.814

 Variances
    F1                 1.112      0.138      8.041      0.000
    F2                 0.971      0.133      7.309      0.000

 Residual Variances
    Y1                 1.044      0.093     11.221      0.000
    Y2                 1.007      0.093     10.880      0.000
    Y3                 0.895      0.091      9.800      0.000
    Y4                 1.011      0.095     10.599      0.000
    Y5                 0.882      0.078     11.296      0.000
    Y6                 1.053      0.080     13.163      0.000
    Y7                 1.101      0.098     11.261      0.000
    Y8                 0.936      0.080     11.635      0.000
    Y9                 0.982      0.079     12.360      0.000
    Y10                0.911      0.121      7.545      0.000
    Y11                1.015      0.082     12.439      0.000
    Y12                1.049      0.072     14.640      0.000
    F3                 0.471      0.089      5.298      0.000
    F4                 0.756      0.119      6.357      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.302E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                  1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 1                  6             7             8             9            10


           NU
              Y11           Y12
              ________      ________
 1                 11            12


           LAMBDA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                13             0             0             0             0
 Y3                14             0             0             0             0
 Y4                 0             0             0             0             0
 Y5                 0            15             0             0             0
 Y6                 0            16             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0            17             0             0
 Y9                 0             0            18             0             0
 Y10                0             0             0             0             0
 Y11                0             0             0            19             0
 Y12                0             0             0            20             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                21
 Y2                 0            22
 Y3                 0             0            23
 Y4                 0             0             0            24
 Y5                 0             0             0             0            25
 Y6                 0             0             0             0             0
 Y7                 0             0             0             0             0
 Y8                 0             0             0             0             0
 Y9                 0             0             0             0             0
 Y10                0             0             0             0             0
 Y11                0             0             0             0             0
 Y12                0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                26
 Y7                 0            27
 Y8                 0             0            28
 Y9                 0             0             0            29
 Y10                0             0             0             0            30
 Y11                0             0             0             0             0
 Y12                0             0             0             0             0


           THETA
              Y11           Y12
              ________      ________
 Y11               31
 Y12                0            32


           ALPHA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           BETA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 F1                 0             0             0             0             0
 F2                 0             0             0             0             0
 F3                33            34             0             0            35
 F4                 0             0            36             0             0
 F1XF2              0             0             0             0             0


           PSI
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 F1                37
 F2                38            39
 F3                 0             0            40
 F4                 0             0             0            41
 F1XF2              0             0             0             0             0


     STARTING VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1             -0.011        -0.010        -0.022        -0.118        -0.083


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 1             -0.104        -0.060        -0.077        -0.100         0.042


           NU
              Y11           Y12
              ________      ________
 1             -0.014        -0.006


           LAMBDA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 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             0.000         1.000         0.000         0.000         0.000
 Y5             0.000         1.000         0.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000         0.000
 Y7             0.000         0.000         1.000         0.000         0.000
 Y8             0.000         0.000         1.000         0.000         0.000
 Y9             0.000         0.000         1.000         0.000         0.000
 Y10            0.000         0.000         0.000         1.000         0.000
 Y11            0.000         0.000         0.000         1.000         0.000
 Y12            0.000         0.000         0.000         1.000         0.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.081
 Y2             0.000         1.097
 Y3             0.000         0.000         1.087
 Y4             0.000         0.000         0.000         0.993
 Y5             0.000         0.000         0.000         0.000         0.798
 Y6             0.000         0.000         0.000         0.000         0.000
 Y7             0.000         0.000         0.000         0.000         0.000
 Y8             0.000         0.000         0.000         0.000         0.000
 Y9             0.000         0.000         0.000         0.000         0.000
 Y10            0.000         0.000         0.000         0.000         0.000
 Y11            0.000         0.000         0.000         0.000         0.000
 Y12            0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.810
 Y7             0.000         1.332
 Y8             0.000         0.000         1.115
 Y9             0.000         0.000         0.000         1.150
 Y10            0.000         0.000         0.000         0.000         1.102
 Y11            0.000         0.000         0.000         0.000         0.000
 Y12            0.000         0.000         0.000         0.000         0.000


           THETA
              Y11           Y12
              ________      ________
 Y11            0.800
 Y12            0.000         0.716


           ALPHA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 F1             0.000         0.000         0.000         0.000         0.000
 F2             0.000         0.000         0.000         0.000         0.000
 F3             0.000         0.000         0.000         0.000         0.000
 F4             0.000         0.000         0.000         0.000         0.000
 F1XF2          0.000         0.000         0.000         0.000         0.000


           PSI
              F1            F2            F3            F4            F1XF2
              ________      ________      ________      ________      ________
 F1             0.050
 F2             0.000         0.050
 F3             0.000         0.000         0.050
 F4             0.000         0.000         0.000         0.050
 F1XF2          0.000         0.000         0.000         0.000         0.000


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11100103D+05    0.0000000    0.0000000  EM
              2 -0.99234811D+04 1176.6223017    0.1060010  EM
              3 -0.98376218D+04   85.8593319    0.0086521  EM
              4 -0.98029790D+04   34.6428090    0.0035215  EM
              5 -0.97913945D+04   11.5844856    0.0011817  EM
              6 -0.97867723D+04    4.6221600    0.0004721  EM
              7 -0.97840578D+04    2.7144931    0.0002774  EM
              8 -0.97818832D+04    2.1746148    0.0002223  EM
              9 -0.97798707D+04    2.0125386    0.0002057  EM
             10 -0.97779024D+04    1.9682610    0.0002013  EM
             11 -0.97759344D+04    1.9679561    0.0002013  EM
             12 -0.97739471D+04    1.9873559    0.0002033  EM
             13 -0.97719301D+04    2.0169585    0.0002064  EM
             14 -0.97698777D+04    2.0524054    0.0002100  EM
             15 -0.97677863D+04    2.0914199    0.0002141  EM
             16 -0.97656537D+04    2.1326555    0.0002183  EM
             17 -0.97634784D+04    2.1752524    0.0002227  EM
             18 -0.97612598D+04    2.2186155    0.0002272  EM
             19 -0.97589975D+04    2.2622438    0.0002318  EM
             20 -0.97566918D+04    2.3057423    0.0002363  EM
             21 -0.97543431D+04    2.3487275    0.0002407  EM
             22 -0.97519522D+04    2.3908477    0.0002451  EM
             23 -0.97495205D+04    2.4317023    0.0002494  EM
             24 -0.97470496D+04    2.4709327    0.0002534  EM
             25 -0.97445415D+04    2.5081121    0.0002573  EM
             26 -0.97419987D+04    2.5428137    0.0002609  EM
             27 -0.97394241D+04    2.5745758    0.0002643  EM
             28 -0.97368212D+04    2.6029135    0.0002673  EM
             29 -0.97341938D+04    2.6273288    0.0002698  EM
             30 -0.97315466D+04    2.6472524    0.0002720  EM
             31 -0.97288844D+04    2.6621879    0.0002736  EM
             32 -0.97262128D+04    2.6715566    0.0002746  EM
             33 -0.97235381D+04    2.6747830    0.0002750  EM
             34 -0.97208667D+04    2.6713389    0.0002747  EM
             35 -0.97182060D+04    2.6607055    0.0002737  EM
             36 -0.97155636D+04    2.6424163    0.0002719  EM
             37 -0.97129476D+04    2.6160401    0.0002693  EM
             38 -0.97103664D+04    2.5812045    0.0002657  EM
             39 -0.97078287D+04    2.5377038    0.0002613  EM
             40 -0.97053433D+04    2.4853844    0.0002560  EM
             41 -0.97029190D+04    2.4242532    0.0002498  EM
             42 -0.97005646D+04    2.3544533    0.0002427  EM
             43 -0.96982883D+04    2.2762913    0.0002347  EM
             44 -0.96960980D+04    2.1902596    0.0002258  EM
             45 -0.96940010D+04    2.0969889    0.0002163  EM
             46 -0.96920037D+04    1.9973015    0.0002060  EM
             47 -0.96901116D+04    1.8921700    0.0001952  EM
             48 -0.96883289D+04    1.7826688    0.0001840  EM
             49 -0.96866589D+04    1.6699951    0.0001724  EM
             50 -0.96851035D+04    1.5554184    0.0001606  EM
             51 -0.96836632D+04    1.4402294    0.0001487  EM
             52 -0.96823375D+04    1.3256994    0.0001369  EM
             53 -0.96811245D+04    1.2130653    0.0001253  EM
             54 -0.96800210D+04    1.1034360    0.0001140  EM
             55 -0.96790232D+04    0.9978496    0.0001031  EM
             56 -0.96781260D+04    0.8971647    0.0000927  EM
             57 -0.96773240D+04    0.8020732    0.0000829  EM
             58 -0.96766108D+04    0.7131158    0.0000737  EM
             59 -0.96754823D+04    1.1285201    0.0001166  QN
             60 -0.96743263D+04    1.1560281    0.0001195  EM
             61 -0.96739494D+04    0.3768439    0.0000390  EM
             62 -0.96736518D+04    0.2976778    0.0000308  EM
             63 -0.96734026D+04    0.2491431    0.0000258  EM
             64 -0.96731913D+04    0.2113432    0.0000218  EM
             65 -0.96730117D+04    0.1795980    0.0000186  EM
             66 -0.96728593D+04    0.1524112    0.0000158  EM
             67 -0.96727302D+04    0.1290510    0.0000133  EM
             68 -0.96726212D+04    0.1090098    0.0000113  EM
             69 -0.96725293D+04    0.0918675    0.0000095  EM
             70 -0.96724521D+04    0.0772504    0.0000080  EM
             71 -0.96723873D+04    0.0648259    0.0000067  EM
             72 -0.96723330D+04    0.0542966    0.0000056  EM
             73 -0.96722876D+04    0.0453983    0.0000047  EM
             74 -0.96722497D+04    0.0378963    0.0000039  EM
             75 -0.96722181D+04    0.0315896    0.0000033  EM
             76 -0.96721918D+04    0.0262969    0.0000027  EM
             77 -0.96721699D+04    0.0218635    0.0000023  EM
             78 -0.96721518D+04    0.0181576    0.0000019  EM
             79 -0.96721367D+04    0.0150647    0.0000016  EM
             80 -0.96721242D+04    0.0124871    0.0000013  EM
             81 -0.96721139D+04    0.0103417    0.0000011  EM
             82 -0.96721053D+04    0.0085583    0.0000009  EM
             83 -0.96720982D+04    0.0070777    0.0000007  EM
             84 -0.96720924D+04    0.0058496    0.0000006  EM
             85 -0.96720876D+04    0.0048320    0.0000005  EM
             86 -0.96720836D+04    0.0039893    0.0000004  EM
             87 -0.96720783D+04    0.0052778    0.0000005  QN
             88 -0.96720729D+04    0.0053645    0.0000006  EM
             89 -0.96720714D+04    0.0014882    0.0000002  EM
             90 -0.96720662D+04    0.0052456    0.0000005  FS
             91 -0.96720654D+04    0.0008068    0.0000001  FS


     Beginning Time:  22:55:16
        Ending Time:  22:55:29
       Elapsed Time:  00:00:13



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) 1998-2012 Muthen & Muthen

Back to examples