Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:48 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     15.391      0.000
    Y3                 1.119      0.092     12.181      0.000
    Y4                 0.986      0.068     14.469      0.000
    Y5                 1.093      0.079     13.773      0.000

 Y1         ON
    FXF               -0.253      0.075     -3.399      0.001

 Y2         ON
    FXF               -0.251      0.061     -4.096      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     -3.951      0.000

 Intercepts
    Y1                -0.057      0.095     -0.603      0.547
    Y2                -0.018      0.092     -0.201      0.841
    Y3                -0.131      0.086     -1.535      0.125
    Y4                -0.168      0.089     -1.892      0.058
    Y5                -0.129      0.090     -1.423      0.155

 Variances
    F                  1.119      0.143      7.805      0.000

 Residual Variances
    Y1                 0.975      0.079     12.346      0.000
    Y2                 0.944      0.079     11.914      0.000
    Y3                 0.945      0.096      9.860      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         1.110
 Y2             0.000         0.000         0.000         1.145
 Y3             0.000         0.000         0.000         0.000         1.200
 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             1.162
 Y5             0.000         1.206


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.47476518D+04    0.0000000    0.0000000  EM
              2 -0.41725074D+04  575.1443611    0.1211429  EM
              3 -0.41012680D+04   71.2394032    0.0170735  EM
              4 -0.40903412D+04   10.9268305    0.0026643  EM
              5 -0.40866071D+04    3.7340326    0.0009129  EM
              6 -0.40842517D+04    2.3553734    0.0005764  EM
              7 -0.40825566D+04    1.6951845    0.0004151  EM
              8 -0.40812876D+04    1.2689866    0.0003108  EM
              9 -0.40803111D+04    0.9764860    0.0002393  EM
             10 -0.40795396D+04    0.7714860    0.0001891  EM
             11 -0.40789134D+04    0.6262006    0.0001535  EM
             12 -0.40783908D+04    0.5225578    0.0001281  EM
             13 -0.40779425D+04    0.4483569    0.0001099  EM
             14 -0.40775473D+04    0.3951804    0.0000969  EM
             15 -0.40771902D+04    0.3571142    0.0000876  EM
             16 -0.40768603D+04    0.3299386    0.0000809  EM
             17 -0.40765496D+04    0.3106213    0.0000762  EM
             18 -0.40762526D+04    0.2969991    0.0000729  EM
             19 -0.40759651D+04    0.2875367    0.0000705  EM
             20 -0.40756840D+04    0.2811393    0.0000690  EM
             21 -0.40754069D+04    0.2770195    0.0000680  EM
             22 -0.40751323D+04    0.2746106    0.0000674  EM
             23 -0.40748588D+04    0.2734983    0.0000671  EM
             24 -0.40745855D+04    0.2733764    0.0000671  EM
             25 -0.40743114D+04    0.2740233    0.0000673  EM
             26 -0.40740362D+04    0.2752738    0.0000676  EM
             27 -0.40737592D+04    0.2770050    0.0000680  EM
             28 -0.40734800D+04    0.2791229    0.0000685  EM
             29 -0.40731985D+04    0.2815624    0.0000691  EM
             30 -0.40729142D+04    0.2842657    0.0000698  EM
             31 -0.40726270D+04    0.2871944    0.0000705  EM
             32 -0.40723367D+04    0.2903148    0.0000713  EM
             33 -0.40720431D+04    0.2936083    0.0000721  EM
             34 -0.40717460D+04    0.2970504    0.0000729  EM
             35 -0.40714454D+04    0.3006283    0.0000738  EM
             36 -0.40711411D+04    0.3043302    0.0000747  EM
             37 -0.40708330D+04    0.3080478    0.0000757  EM
             38 -0.40705209D+04    0.3121313    0.0000767  EM
             39 -0.40702048D+04    0.3161175    0.0000777  EM
             40 -0.40698846D+04    0.3202276    0.0000787  EM
             41 -0.40695601D+04    0.3244380    0.0000797  EM
             42 -0.40692314D+04    0.3287384    0.0000808  EM
             43 -0.40688982D+04    0.3331307    0.0000819  EM
             44 -0.40685606D+04    0.3376113    0.0000830  EM
             45 -0.40682185D+04    0.3421756    0.0000841  EM
             46 -0.40678716D+04    0.3468246    0.0000853  EM
             47 -0.40675201D+04    0.3515580    0.0000864  EM
             48 -0.40671637D+04    0.3563752    0.0000876  EM
             49 -0.40668024D+04    0.3612758    0.0000888  EM
             50 -0.40664362D+04    0.3662591    0.0000901  EM
             51 -0.40660648D+04    0.3713244    0.0000913  EM
             52 -0.40656884D+04    0.3764708    0.0000926  EM
             53 -0.40653067D+04    0.3816977    0.0000939  EM
             54 -0.40649197D+04    0.3870039    0.0000952  EM
             55 -0.40645273D+04    0.3923889    0.0000965  EM
             56 -0.40641294D+04    0.3978520    0.0000979  EM
             57 -0.40637260D+04    0.4033933    0.0000993  EM
             58 -0.40633170D+04    0.4090121    0.0001006  EM
             59 -0.40629023D+04    0.4147071    0.0001021  EM
             60 -0.40624818D+04    0.4204746    0.0001035  EM
             61 -0.40620555D+04    0.4263105    0.0001049  EM
             62 -0.40582114D+04    3.8441599    0.0009464  QN
             63 -0.40547675D+04    3.4438751    0.0008486  EM
             64 -0.40540691D+04    0.6983881    0.0001722  EM
             65 -0.40534894D+04    0.5796795    0.0001430  EM
             66 -0.40529357D+04    0.5537682    0.0001366  EM
             67 -0.40523872D+04    0.5485103    0.0001353  EM
             68 -0.40518376D+04    0.5495261    0.0001356  EM
             69 -0.40512849D+04    0.5526916    0.0001364  EM
             70 -0.40507283D+04    0.5565988    0.0001374  EM
             71 -0.40501677D+04    0.5606784    0.0001384  EM
             72 -0.40496030D+04    0.5646588    0.0001394  EM
             73 -0.40490346D+04    0.5683842    0.0001404  EM
             74 -0.40466114D+04    2.4231637    0.0005985  QN
             75 -0.40441819D+04    2.4295512    0.0006004  EM
             76 -0.40433470D+04    0.8349246    0.0002065  EM
             77 -0.40426832D+04    0.6637719    0.0001642  EM
             78 -0.40420787D+04    0.6045193    0.0001495  EM
             79 -0.40414986D+04    0.5801196    0.0001435  EM
             80 -0.40409310D+04    0.5675214    0.0001404  EM
             81 -0.40403722D+04    0.5588307    0.0001383  EM
             82 -0.40398210D+04    0.5511841    0.0001364  EM
             83 -0.40392775D+04    0.5434950    0.0001345  EM
             84 -0.40387422D+04    0.5353298    0.0001325  EM
             85 -0.40382157D+04    0.5265093    0.0001304  EM
             86 -0.40376987D+04    0.5169717    0.0001280  EM
             87 -0.40371920D+04    0.5066957    0.0001255  EM
             88 -0.40366963D+04    0.4956908    0.0001228  EM
             89 -0.40362124D+04    0.4839812    0.0001199  EM
             90 -0.40357409D+04    0.4714425    0.0001168  EM
             91 -0.40352822D+04    0.4587154    0.0001137  EM
             92 -0.40348372D+04    0.4450247    0.0001103  EM
             93 -0.40344063D+04    0.4308728    0.0001068  EM
             94 -0.40339901D+04    0.4162463    0.0001032  EM
             95 -0.40335889D+04    0.4011947    0.0000995  EM
             96 -0.40332031D+04    0.3857787    0.0000956  EM
             97 -0.40281239D+04    5.0791666    0.0012593  QN
             98 -0.40276777D+04    0.4462070    0.0001108  EM
             99 -0.40276129D+04    0.0648526    0.0000161  EM
            100 -0.40275775D+04    0.0353255    0.0000088  EM
            101 -0.40275561D+04    0.0214472    0.0000053  EM
            102 -0.40275421D+04    0.0139924    0.0000035  EM
            103 -0.40275324D+04    0.0096564    0.0000024  EM
            104 -0.40275255D+04    0.0069713    0.0000017  EM
            105 -0.40275202D+04    0.0052184    0.0000013  EM
            106 -0.40275162D+04    0.0040242    0.0000010  EM
            107 -0.40275130D+04    0.0031804    0.0000008  EM
            108 -0.40275105D+04    0.0025645    0.0000006  EM
            109 -0.40275084D+04    0.0021037    0.0000005  EM
            110 -0.40275066D+04    0.0017503    0.0000004  EM
            111 -0.40275051D+04    0.0014737    0.0000004  EM
            112 -0.40275039D+04    0.0012530    0.0000003  EM
            113 -0.40275028D+04    0.0010743    0.0000003  EM
            114 -0.40275019D+04    0.0009274    0.0000002  EM


     Beginning Time:  17:48:45
        Ending Time:  17:48:45
       Elapsed Time:  00:00:00



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