Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  11:34 PM

INPUT INSTRUCTIONS

  Title:  web6ex2.inp

  Data:
      file is web6cross.dat;

  Variable:
      names = x y3 y4 y1 y2;
      usev = x y3 y4 y1 y2 xy;

  Define:
      xy=x; ! This copies the x variable into xy to
              !enable x with eta2;

  Analysis:
      type = random;
      estimator = ml;

  Model:
      eta1 by y1 y2;
      eta2 by y3* y4;
      eta2@1;
      eta1 on eta2 x;
      s | eta1 on x;
      s on eta2; s@0; [s@0]; ! This defines s = beta_3*eta
      xy with eta2;
      !two residual variances go to zero; fix at zero:
      y2@0.0001;
      y3@0.0001;

  Output:
      tech1 tech8;



INPUT READING TERMINATED NORMALLY



web6ex2.inp

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         156

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

Observed dependent variables

  Continuous
   Y3          Y4          Y1          Y2          XY

Observed independent variables
   X

Continuous latent variables
   ETA1        ETA2        S


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                   100
Convergence criterion                                    0.100D-05
Maximum number of EM iterations                                500
Convergence criteria for the EM algorithm
  Loglikelihood change                                   0.100D-02
  Relative loglikelihood change                          0.100D-05
  Derivative                                             0.100D-03
Minimum variance                                         0.100D-03
Maximum number of steepest descent iterations                   20
Optimization algorithm                                         EMA

Input data file(s)
  web6cross.dat
Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Loglikelihood

          H0 Value                        -793.397

Information Criteria

          Number of Free Parameters             16
          Akaike (AIC)                    1618.793
          Bayesian (BIC)                  1667.591
          Sample-Size Adjusted BIC        1616.946
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 ETA1     BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.090      0.042     26.219      0.000

 ETA2     BY
    Y3                 0.988      0.056     17.662      0.000
    Y4                 0.877      0.060     14.584      0.000

 ETA1       ON
    ETA2               0.369      0.065      5.706      0.000

 S          ON
    ETA2               0.155      0.071      2.172      0.030

 ETA1       ON
    X                  0.100      0.061      1.644      0.100

 XY       WITH
    ETA2               0.038      0.080      0.468      0.639

 Means
    XY                 0.004      0.080      0.047      0.963

 Intercepts
    Y3                -0.023      0.079     -0.289      0.773
    Y4                -0.022      0.078     -0.278      0.781
    Y1                -0.056      0.073     -0.769      0.442
    Y2                -0.065      0.072     -0.907      0.364
    S                  0.000      0.000    999.000    999.000

 Variances
    XY                 1.003      0.114      8.831      0.000
    ETA2               1.000      0.000    999.000    999.000

 Residual Variances
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.180      0.020      8.828      0.000
    Y1                 0.158      0.018      8.827      0.000
    Y2                 0.000      0.000    999.000    999.000
    ETA1               0.545      0.074      7.323      0.000
    S                  0.000      0.000    999.000    999.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.594E-04
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y3            Y4            Y1            Y2            XY
              ________      ________      ________      ________      ________
 1                  1             2             3             4             0


           NU
              X
              ________
 1                  0


           LAMBDA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 Y3                 0             5             0             0             0
 Y4                 0             6             0             0             0
 Y1                 0             0             0             0             0
 Y2                 7             0             0             0             0
 XY                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              Y3            Y4            Y1            Y2            XY
              ________      ________      ________      ________      ________
 Y3                 0
 Y4                 0             8
 Y1                 0             0             9
 Y2                 0             0             0             0
 XY                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              X
              ________
 X                  0


           ALPHA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 1                  0             0             0            10             0


           BETA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 ETA1               0            11             0             0            12
 ETA2               0             0             0             0             0
 S                  0            13             0             0             0
 XY                 0             0             0             0             0
 X                  0             0             0             0             0


           PSI
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 ETA1              14
 ETA2               0             0
 S                  0             0             0
 XY                 0            15             0            16
 X                  0             0             0             0             0


     STARTING VALUES


           NU
              Y3            Y4            Y1            Y2            XY
              ________      ________      ________      ________      ________
 1             -0.023        -0.022        -0.050        -0.059         0.000


           NU
              X
              ________
 1              0.000


           LAMBDA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 Y3             0.000         1.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000         0.000
 XY             0.000         0.000         0.000         1.000         0.000
 X              0.000         0.000         0.000         0.000         1.000


           THETA
              Y3            Y4            Y1            Y2            XY
              ________      ________      ________      ________      ________
 Y3             0.000
 Y4             0.000         0.478
 Y1             0.000         0.000         0.430
 Y2             0.000         0.000         0.000         0.000
 XY             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              X
              ________
 X              0.000


           ALPHA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.004         0.000


           BETA
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 ETA1           0.000         0.000         0.000         0.000         0.000
 ETA2           0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 XY             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           PSI
              ETA1          ETA2          S             XY            X
              ________      ________      ________      ________      ________
 ETA1           0.050
 ETA2           0.000         1.000
 S              0.000         0.000         0.000
 XY             0.000         0.000         0.000         0.505
 X              0.000         0.000         0.000         0.000         0.505


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18861920D+04    0.0000000    0.0000000  EM
              2 -0.79579357D+03 1090.3984576    0.5780951  EM
              3 -0.79579190D+03    0.0016725    0.0000021  EM
              4 -0.79579130D+03    0.0005955    0.0000007  EM
              5 -0.79579071D+03    0.0005954    0.0000007  EM
              6 -0.79579011D+03    0.0005953    0.0000007  EM
              7 -0.79578952D+03    0.0005951    0.0000007  EM
              8 -0.79578892D+03    0.0005950    0.0000007  EM
              9 -0.79578833D+03    0.0005949    0.0000007  EM
             10 -0.79578773D+03    0.0005947    0.0000007  EM
             11 -0.79578714D+03    0.0005946    0.0000007  EM
             12 -0.79578654D+03    0.0005944    0.0000007  EM
             13 -0.79578595D+03    0.0005943    0.0000007  EM
             14 -0.79578536D+03    0.0005942    0.0000007  EM
             15 -0.79578476D+03    0.0005940    0.0000007  EM
             16 -0.79578417D+03    0.0005939    0.0000007  EM
             17 -0.79578357D+03    0.0005937    0.0000007  EM
             18 -0.79578298D+03    0.0005936    0.0000007  EM
             19 -0.79578239D+03    0.0005935    0.0000007  EM
             20 -0.79578179D+03    0.0005933    0.0000007  EM
             21 -0.79578120D+03    0.0005932    0.0000007  EM
             22 -0.79578061D+03    0.0005931    0.0000007  EM
             23 -0.79578001D+03    0.0005929    0.0000007  EM
             24 -0.79577942D+03    0.0005928    0.0000007  EM
             25 -0.79577883D+03    0.0005926    0.0000007  EM
             26 -0.79577824D+03    0.0005925    0.0000007  EM
             27 -0.79577764D+03    0.0005924    0.0000007  EM
             28 -0.79577705D+03    0.0005922    0.0000007  EM
             29 -0.79577646D+03    0.0005921    0.0000007  EM
             30 -0.79577587D+03    0.0005920    0.0000007  EM
             31 -0.79577528D+03    0.0005918    0.0000007  EM
             32 -0.79577468D+03    0.0005917    0.0000007  EM
             33 -0.79577409D+03    0.0005915    0.0000007  EM
             34 -0.79577350D+03    0.0005914    0.0000007  EM
             35 -0.79577291D+03    0.0005913    0.0000007  EM
             36 -0.79577232D+03    0.0005911    0.0000007  EM
             37 -0.79577173D+03    0.0005910    0.0000007  EM
             38 -0.79577114D+03    0.0005909    0.0000007  EM
             39 -0.79577055D+03    0.0005907    0.0000007  EM
             40 -0.79576996D+03    0.0005906    0.0000007  EM
             41 -0.79576937D+03    0.0005904    0.0000007  EM
             42 -0.79576878D+03    0.0005903    0.0000007  EM
             43 -0.79576819D+03    0.0005902    0.0000007  EM
             44 -0.79576760D+03    0.0005900    0.0000007  EM
             45 -0.79576701D+03    0.0005899    0.0000007  EM
             46 -0.79576642D+03    0.0005898    0.0000007  EM
             47 -0.79576583D+03    0.0005896    0.0000007  EM
             48 -0.79576524D+03    0.0005895    0.0000007  EM
             49 -0.79576465D+03    0.0005894    0.0000007  EM
             50 -0.79576406D+03    0.0005892    0.0000007  EM
             51 -0.79576347D+03    0.0005891    0.0000007  EM
             52 -0.79576288D+03    0.0005889    0.0000007  EM
             53 -0.79576229D+03    0.0005888    0.0000007  EM
             54 -0.79576170D+03    0.0005887    0.0000007  EM
             55 -0.79576111D+03    0.0005885    0.0000007  EM
             56 -0.79576053D+03    0.0005884    0.0000007  EM
             57 -0.79575994D+03    0.0005883    0.0000007  EM
             58 -0.79575935D+03    0.0005881    0.0000007  EM
             59 -0.79575876D+03    0.0005880    0.0000007  EM
             60 -0.79575817D+03    0.0005878    0.0000007  EM
             61 -0.79575759D+03    0.0005877    0.0000007  EM
             62 -0.79575700D+03    0.0005876    0.0000007  EM
             63 -0.79575641D+03    0.0005874    0.0000007  EM
             64 -0.79575582D+03    0.0005873    0.0000007  EM
             65 -0.79575524D+03    0.0005872    0.0000007  EM
             66 -0.79575465D+03    0.0005870    0.0000007  EM
             67 -0.79575406D+03    0.0005869    0.0000007  EM
             68 -0.79575348D+03    0.0005868    0.0000007  EM
             69 -0.79575289D+03    0.0005866    0.0000007  EM
             70 -0.79575230D+03    0.0005865    0.0000007  EM
             71 -0.79575172D+03    0.0005864    0.0000007  EM
             72 -0.79575113D+03    0.0005862    0.0000007  EM
             73 -0.79575054D+03    0.0005861    0.0000007  EM
             74 -0.79574996D+03    0.0005859    0.0000007  EM
             75 -0.79574937D+03    0.0005858    0.0000007  EM
             76 -0.79574879D+03    0.0005857    0.0000007  EM
             77 -0.79574820D+03    0.0005855    0.0000007  EM
             78 -0.79574762D+03    0.0005854    0.0000007  EM
             79 -0.79574703D+03    0.0005853    0.0000007  EM
             80 -0.79574644D+03    0.0005851    0.0000007  EM
             81 -0.79574586D+03    0.0005850    0.0000007  EM
             82 -0.79574527D+03    0.0005849    0.0000007  EM
             83 -0.79574469D+03    0.0005847    0.0000007  EM
             84 -0.79574411D+03    0.0005846    0.0000007  EM
             85 -0.79574352D+03    0.0005844    0.0000007  EM
             86 -0.79574294D+03    0.0005843    0.0000007  EM
             87 -0.79574235D+03    0.0005842    0.0000007  EM
             88 -0.79574177D+03    0.0005840    0.0000007  EM
             89 -0.79574118D+03    0.0005839    0.0000007  EM
             90 -0.79574060D+03    0.0005838    0.0000007  EM
             91 -0.79574002D+03    0.0005836    0.0000007  EM
             92 -0.79573943D+03    0.0005835    0.0000007  EM
             93 -0.79573885D+03    0.0005834    0.0000007  EM
             94 -0.79573827D+03    0.0005832    0.0000007  EM
             95 -0.79573768D+03    0.0005831    0.0000007  EM
             96 -0.79573710D+03    0.0005830    0.0000007  EM
             97 -0.79573652D+03    0.0005828    0.0000007  EM
             98 -0.79573594D+03    0.0005827    0.0000007  EM
             99 -0.79573535D+03    0.0005825    0.0000007  EM
            100 -0.79573477D+03    0.0005824    0.0000007  EM
            101 -0.79573419D+03    0.0005823    0.0000007  EM
            102 -0.79573361D+03    0.0005821    0.0000007  EM
            103 -0.79573302D+03    0.0005820    0.0000007  EM
            104 -0.79573244D+03    0.0005819    0.0000007  EM
            105 -0.79573186D+03    0.0005817    0.0000007  EM
            106 -0.79339661D+03    2.3352474    0.0029347  QN
            107 -0.79339661D+03    0.0000001    0.0000000  EM


     Beginning Time:  23:34:29
        Ending Time:  23:34:30
       Elapsed Time:  00:00:01



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