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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a non-linear CFA
  DATA:	FILE IS ex5.7.dat;
  VARIABLE:	NAMES ARE y1-y5;
  ANALYSIS:	TYPE = RANDOM;
  	ALGORITHM = INTEGRATION;
  MODEL:	f BY y1-y5;		
  	fxf | f XWITH f;
  	y1-y5 ON fxf;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a non-linear CFA

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    5
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5

Continuous latent variables
   F           FXF


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                            1
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

Input data file(s)
  ex5.7.dat
Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       20

Loglikelihood

          H0 Value                       -4027.502
          H0 Scaling Correction Factor      0.9923
            for MLR

Information Criteria

          Akaike (AIC)                    8095.004
          Bayesian (BIC)                  8179.296
          Sample-Size Adjusted BIC        8115.815
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 F        BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.050      0.068     15.389      0.000
    Y3                 1.119      0.092     12.178      0.000
    Y4                 0.986      0.068     14.467      0.000
    Y5                 1.093      0.079     13.772      0.000

 Y1         ON
    FXF               -0.253      0.075     -3.398      0.001

 Y2         ON
    FXF               -0.251      0.061     -4.095      0.000

 Y3         ON
    FXF               -0.185      0.042     -4.434      0.000

 Y4         ON
    FXF               -0.203      0.060     -3.400      0.001

 Y5         ON
    FXF               -0.210      0.053     -3.950      0.000

 Intercepts
    Y1                -0.057      0.095     -0.602      0.547
    Y2                -0.018      0.092     -0.200      0.841
    Y3                -0.131      0.086     -1.535      0.125
    Y4                -0.168      0.089     -1.892      0.059
    Y5                -0.129      0.090     -1.423      0.155

 Variances
    F                  1.119      0.143      7.803      0.000

 Residual Variances
    Y1                 0.976      0.079     12.347      0.000
    Y2                 0.944      0.079     11.914      0.000
    Y3                 0.945      0.096      9.859      0.000
    Y4                 1.166      0.087     13.438      0.000
    Y5                 1.001      0.073     13.756      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.143E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


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


           LAMBDA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 Y5                 0             0             0             0             0


           LAMBDA
              Y4            Y5
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 Y5                 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


           ALPHA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 1                  0             0             1             2             3


           ALPHA
              Y4            Y5
              ________      ________
 1                  4             5


           BETA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 F                  0             0             0             0             0
 FXF                0             0             0             0             0
 Y1                 0             6             0             0             0
 Y2                 7             8             0             0             0
 Y3                 9            10             0             0             0
 Y4                11            12             0             0             0
 Y5                13            14             0             0             0


           BETA
              Y4            Y5
              ________      ________
 F                  0             0
 FXF                0             0
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 Y5                 0             0


           PSI
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 F                 15
 FXF                0             0
 Y1                 0             0            16
 Y2                 0             0             0            17
 Y3                 0             0             0             0            18
 Y4                 0             0             0             0             0
 Y5                 0             0             0             0             0


           PSI
              Y4            Y5
              ________      ________
 Y4                19
 Y5                 0            20


     STARTING VALUES


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


           LAMBDA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         0.000         1.000         0.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y4            Y5
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             1.000         0.000
 Y5             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


           ALPHA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 1              0.000         0.000        -0.344        -0.302        -0.342


           ALPHA
              Y4            Y5
              ________      ________
 1             -0.398        -0.367


           BETA
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 F              0.000         0.000         0.000         0.000         0.000
 FXF            0.000         0.000         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
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             1.000         0.000         0.000         0.000         0.000
 Y5             1.000         0.000         0.000         0.000         0.000


           BETA
              Y4            Y5
              ________      ________
 F              0.000         0.000
 FXF            0.000         0.000
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 Y5             0.000         0.000


           PSI
              F             FXF           Y1            Y2            Y3
              ________      ________      ________      ________      ________
 F              0.050
 FXF            0.000         0.000
 Y1             0.000         0.000         1.113
 Y2             0.000         0.000         0.000         1.148
 Y3             0.000         0.000         0.000         0.000         1.203
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           PSI
              Y4            Y5
              ________      ________
 Y4             1.164
 Y5             0.000         1.208


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.47461157D+04    0.0000000    0.0000000  EM
              2 -0.41728451D+04  573.2706787    0.1207873  EM
              3 -0.41013296D+04   71.5154414    0.0171383  EM
              4 -0.40903647D+04   10.9648828    0.0026735  EM
              5 -0.40866267D+04    3.7380956    0.0009139  EM
              6 -0.40842711D+04    2.3555691    0.0005764  EM
              7 -0.40825764D+04    1.6946663    0.0004149  EM
              8 -0.40813081D+04    1.2683153    0.0003107  EM
              9 -0.40803323D+04    0.9758302    0.0002391  EM
             10 -0.40795614D+04    0.7708932    0.0001889  EM
             11 -0.40789357D+04    0.6256755    0.0001534  EM
             12 -0.40784136D+04    0.5220913    0.0001280  EM
             13 -0.40779657D+04    0.4479355    0.0001098  EM
             14 -0.40775709D+04    0.3947927    0.0000968  EM
             15 -0.40772141D+04    0.3567522    0.0000875  EM
             16 -0.40768845D+04    0.3295912    0.0000808  EM
             17 -0.40765743D+04    0.3102838    0.0000761  EM
             18 -0.40762776D+04    0.2966672    0.0000728  EM
             19 -0.40759904D+04    0.2872072    0.0000705  EM
             20 -0.40757096D+04    0.2808096    0.0000689  EM
             21 -0.40754329D+04    0.2766898    0.0000679  EM
             22 -0.40751586D+04    0.2742784    0.0000673  EM
             23 -0.40748854D+04    0.2731612    0.0000670  EM
             24 -0.40746124D+04    0.2730349    0.0000670  EM
             25 -0.40743387D+04    0.2736753    0.0000672  EM
             26 -0.40740638D+04    0.2749219    0.0000675  EM
             27 -0.40737872D+04    0.2766469    0.0000679  EM
             28 -0.40735084D+04    0.2787605    0.0000684  EM
             29 -0.40732272D+04    0.2811923    0.0000690  EM
             30 -0.40729433D+04    0.2838895    0.0000697  EM
             31 -0.40726565D+04    0.2868116    0.0000704  EM
             32 -0.40723666D+04    0.2899259    0.0000712  EM
             33 -0.40720734D+04    0.2932120    0.0000720  EM
             34 -0.40717767D+04    0.2966474    0.0000728  EM
             35 -0.40714765D+04    0.3002181    0.0000737  EM
             36 -0.40711726D+04    0.3039130    0.0000746  EM
             37 -0.40708650D+04    0.3076229    0.0000756  EM
             38 -0.40705533D+04    0.3116983    0.0000766  EM
             39 -0.40702376D+04    0.3156785    0.0000776  EM
             40 -0.40699178D+04    0.3197813    0.0000786  EM
             41 -0.40695938D+04    0.3239845    0.0000796  EM
             42 -0.40692655D+04    0.3282799    0.0000807  EM
             43 -0.40689329D+04    0.3326645    0.0000818  EM
             44 -0.40685957D+04    0.3371357    0.0000829  EM
             45 -0.40682541D+04    0.3416901    0.0000840  EM
             46 -0.40679077D+04    0.3463310    0.0000851  EM
             47 -0.40675567D+04    0.3510587    0.0000863  EM
             48 -0.40672008D+04    0.3558675    0.0000875  EM
             49 -0.40668400D+04    0.3607605    0.0000887  EM
             50 -0.40664743D+04    0.3657357    0.0000899  EM
             51 -0.40661035D+04    0.3707930    0.0000912  EM
             52 -0.40657276D+04    0.3759315    0.0000925  EM
             53 -0.40653464D+04    0.3811504    0.0000937  EM
             54 -0.40649600D+04    0.3864487    0.0000951  EM
             55 -0.40645682D+04    0.3918254    0.0000964  EM
             56 -0.40641709D+04    0.3972775    0.0000977  EM
             57 -0.40637681D+04    0.4028109    0.0000991  EM
             58 -0.40633596D+04    0.4084256    0.0001005  EM
             59 -0.40629455D+04    0.4141119    0.0001019  EM
             60 -0.40625257D+04    0.4198731    0.0001033  EM
             61 -0.40621000D+04    0.4257024    0.0001048  EM
             62 -0.40582553D+04    3.8446966    0.0009465  QN
             63 -0.40548106D+04    3.4446455    0.0008488  EM
             64 -0.40541129D+04    0.6977558    0.0001721  EM
             65 -0.40535337D+04    0.5791909    0.0001429  EM
             66 -0.40529803D+04    0.5533268    0.0001365  EM
             67 -0.40524322D+04    0.5480910    0.0001352  EM
             68 -0.40518831D+04    0.5491223    0.0001355  EM
             69 -0.40513308D+04    0.5523033    0.0001363  EM
             70 -0.40507746D+04    0.5562326    0.0001373  EM
             71 -0.40502143D+04    0.5603328    0.0001383  EM
             72 -0.40496499D+04    0.5643393    0.0001393  EM
             73 -0.40490818D+04    0.5680976    0.0001403  EM
             74 -0.40466574D+04    2.4244296    0.0005988  QN
             75 -0.40442263D+04    2.4311203    0.0006008  EM
             76 -0.40433913D+04    0.8349977    0.0002065  EM
             77 -0.40427274D+04    0.6639115    0.0001642  EM
             78 -0.40421226D+04    0.6047539    0.0001496  EM
             79 -0.40415422D+04    0.5804362    0.0001436  EM
             80 -0.40409743D+04    0.5679063    0.0001405  EM
             81 -0.40404150D+04    0.5592838    0.0001384  EM
             82 -0.40398633D+04    0.5517051    0.0001365  EM
             83 -0.40393192D+04    0.5440811    0.0001347  EM
             84 -0.40387832D+04    0.5359757    0.0001327  EM
             85 -0.40382560D+04    0.5272202    0.0001305  EM
             86 -0.40377383D+04    0.5177431    0.0001282  EM
             87 -0.40372307D+04    0.5075226    0.0001257  EM
             88 -0.40367342D+04    0.4965737    0.0001230  EM
             89 -0.40362492D+04    0.4849187    0.0001201  EM
             90 -0.40357768D+04    0.4724261    0.0001170  EM
             91 -0.40353171D+04    0.4597459    0.0001139  EM
             92 -0.40348710D+04    0.4460987    0.0001105  EM
             93 -0.40344390D+04    0.4319850    0.0001071  EM
             94 -0.40340216D+04    0.4173928    0.0001035  EM
             95 -0.40336192D+04    0.4023711    0.0000997  EM
             96 -0.40332322D+04    0.3869802    0.0000959  EM
             97 -0.40281307D+04    5.1015125    0.0012649  QN
             98 -0.40276802D+04    0.4505131    0.0001118  EM
             99 -0.40276147D+04    0.0655378    0.0000163  EM
            100 -0.40275789D+04    0.0357405    0.0000089  EM
            101 -0.40275572D+04    0.0217283    0.0000054  EM
            102 -0.40275430D+04    0.0141942    0.0000035  EM
            103 -0.40275332D+04    0.0098074    0.0000024  EM
            104 -0.40275261D+04    0.0070883    0.0000018  EM
            105 -0.40275208D+04    0.0053126    0.0000013  EM
            106 -0.40275167D+04    0.0041009    0.0000010  EM
            107 -0.40275135D+04    0.0032439    0.0000008  EM
            108 -0.40275108D+04    0.0026184    0.0000007  EM
            109 -0.40275087D+04    0.0021493    0.0000005  EM
            110 -0.40275069D+04    0.0017897    0.0000004  EM
            111 -0.40275054D+04    0.0015075    0.0000004  EM
            112 -0.40275041D+04    0.0012824    0.0000003  EM
            113 -0.40275030D+04    0.0011000    0.0000003  EM
            114 -0.40275021D+04    0.0009499    0.0000002  EM


     Beginning Time:  22:55:46
        Ending Time:  22:55:46
       Elapsed Time:  00:00:00



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