Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:41 AM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a generalized partial credit
      item response theory (IRT) model
  DATA:	FILE IS ex5.5part1.dat;
  VARIABLE:	NAMES ARE u1-u20;
  	CATEGORICAL ARE u1-u20 (gpcm);
  ANALYSIS:	ESTIMATOR = MLR;
  MODEL:	f BY u1-u20*;
  	f@1;
  OUTPUT:	TECH1 TECH8;
  PLOT:	TYPE = PLOT3;



INPUT READING TERMINATED NORMALLY



this is an example of a generalized partial credit
item response theory (IRT) model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        5000

Number of dependent variables                                   20
Number of independent variables                                  0
Number of continuous latent variables                            1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6
   U7          U8          U9          U10         U11         U12
   U13         U14         U15         U16         U17         U18
   U19         U20

Continuous latent variables
   F


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
Link                                                         LOGIT
Cholesky                                                        ON

Input data file(s)
  ex5.5part1.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.369         1844.000
      Category 2    0.129          644.000
      Category 3    0.186          929.000
      Category 4    0.096          480.000
      Category 5    0.221         1103.000
    U2
      Category 1    0.355         1775.000
      Category 2    0.123          615.000
      Category 3    0.199          997.000
      Category 4    0.095          474.000
      Category 5    0.228         1139.000
    U3
      Category 1    0.356         1778.000
      Category 2    0.129          644.000
      Category 3    0.186          931.000
      Category 4    0.101          506.000
      Category 5    0.228         1141.000
    U4
      Category 1    0.367         1836.000
      Category 2    0.119          594.000
      Category 3    0.197          983.000
      Category 4    0.098          490.000
      Category 5    0.219         1097.000
    U5
      Category 1    0.363         1815.000
      Category 2    0.127          633.000
      Category 3    0.194          969.000
      Category 4    0.095          474.000
      Category 5    0.222         1109.000
    U6
      Category 1    0.358         1792.000
      Category 2    0.125          626.000
      Category 3    0.193          965.000
      Category 4    0.100          500.000
      Category 5    0.223         1117.000
    U7
      Category 1    0.359         1794.000
      Category 2    0.129          647.000
      Category 3    0.191          955.000
      Category 4    0.103          517.000
      Category 5    0.217         1087.000
    U8
      Category 1    0.366         1831.000
      Category 2    0.122          609.000
      Category 3    0.197          985.000
      Category 4    0.098          490.000
      Category 5    0.217         1085.000
    U9
      Category 1    0.354         1771.000
      Category 2    0.125          627.000
      Category 3    0.198          990.000
      Category 4    0.098          488.000
      Category 5    0.225         1124.000
    U10
      Category 1    0.360         1802.000
      Category 2    0.123          615.000
      Category 3    0.192          958.000
      Category 4    0.098          490.000
      Category 5    0.227         1135.000
    U11
      Category 1    0.367         1834.000
      Category 2    0.121          604.000
      Category 3    0.193          967.000
      Category 4    0.098          492.000
      Category 5    0.221         1103.000
    U12
      Category 1    0.362         1812.000
      Category 2    0.120          600.000
      Category 3    0.201         1004.000
      Category 4    0.098          491.000
      Category 5    0.219         1093.000
    U13
      Category 1    0.363         1817.000
      Category 2    0.120          598.000
      Category 3    0.193          963.000
      Category 4    0.101          506.000
      Category 5    0.223         1116.000
    U14
      Category 1    0.358         1791.000
      Category 2    0.118          589.000
      Category 3    0.195          975.000
      Category 4    0.099          497.000
      Category 5    0.230         1148.000
    U15
      Category 1    0.360         1801.000
      Category 2    0.125          626.000
      Category 3    0.188          942.000
      Category 4    0.102          508.000
      Category 5    0.225         1123.000
    U16
      Category 1    0.361         1804.000
      Category 2    0.125          625.000
      Category 3    0.184          920.000
      Category 4    0.107          533.000
      Category 5    0.224         1118.000
    U17
      Category 1    0.357         1786.000
      Category 2    0.132          658.000
      Category 3    0.189          944.000
      Category 4    0.102          511.000
      Category 5    0.220         1101.000
    U18
      Category 1    0.366         1829.000
      Category 2    0.116          580.000
      Category 3    0.191          956.000
      Category 4    0.098          492.000
      Category 5    0.229         1143.000
    U19
      Category 1    0.363         1815.000
      Category 2    0.118          590.000
      Category 3    0.195          976.000
      Category 4    0.097          487.000
      Category 5    0.226         1132.000
    U20
      Category 1    0.354         1771.000
      Category 2    0.129          644.000
      Category 3    0.190          949.000
      Category 4    0.108          542.000
      Category 5    0.219         1094.000



THE MODEL ESTIMATION TERMINATED NORMALLY

     THE CHI-SQUARE TEST CANNOT BE COMPUTED BECAUSE THE FREQUENCY TABLE FOR THE
     CATEGORICAL VARIABLES IS TOO LARGE.




MODEL FIT INFORMATION

Number of Free Parameters                      100

Loglikelihood

          H0 Value                     -121621.098
          H0 Scaling Correction Factor      0.9979
            for MLR

Information Criteria

          Akaike (AIC)                  243442.196
          Bayesian (BIC)                244093.915
          Sample-Size Adjusted BIC      243776.149
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 F        BY
    U1                 0.982      0.029     33.901      0.000
    U2                 1.016      0.030     34.345      0.000
    U3                 1.011      0.030     33.401      0.000
    U4                 1.085      0.032     33.713      0.000
    U5                 0.989      0.029     33.637      0.000
    U6                 0.993      0.030     33.557      0.000
    U7                 1.012      0.030     33.907      0.000
    U8                 1.063      0.031     34.575      0.000
    U9                 0.991      0.029     34.209      0.000
    U10                1.032      0.030     34.603      0.000
    U11                1.056      0.031     33.638      0.000
    U12                0.988      0.030     33.392      0.000
    U13                0.980      0.029     33.441      0.000
    U14                0.938      0.027     34.386      0.000
    U15                0.981      0.029     33.648      0.000
    U16                1.023      0.030     34.611      0.000
    U17                1.051      0.031     34.195      0.000
    U18                1.004      0.029     34.345      0.000
    U19                0.999      0.030     33.838      0.000
    U20                1.005      0.030     33.331      0.000

 Steps
    U1$1               0.551      0.052     10.587      0.000
    U1$2              -0.419      0.054     -7.723      0.000
    U1$3               1.023      0.061     16.895      0.000
    U1$4              -0.036      0.064     -0.564      0.573
    U2$1               0.514      0.053      9.643      0.000
    U2$2              -0.562      0.055    -10.266      0.000
    U2$3               1.099      0.060     18.461      0.000
    U2$4              -0.066      0.064     -1.018      0.309
    U3$1               0.475      0.053      8.979      0.000
    U3$2              -0.446      0.055     -8.182      0.000
    U3$3               0.961      0.059     16.178      0.000
    U3$4              -0.010      0.063     -0.165      0.869
    U4$1               0.557      0.055     10.154      0.000
    U4$2              -0.567      0.055    -10.231      0.000
    U4$3               1.098      0.060     18.214      0.000
    U4$4               0.089      0.066      1.351      0.177
    U5$1               0.539      0.052     10.277      0.000
    U5$2              -0.487      0.054     -8.985      0.000
    U5$3               1.074      0.060     17.911      0.000
    U5$4              -0.051      0.065     -0.792      0.428
    U6$1               0.527      0.053      9.916      0.000
    U6$2              -0.504      0.054     -9.270      0.000
    U6$3               1.009      0.059     16.965      0.000
    U6$4              -0.010      0.063     -0.157      0.875
    U7$1               0.487      0.052      9.309      0.000
    U7$2              -0.455      0.054     -8.379      0.000
    U7$3               0.981      0.059     16.560      0.000
    U7$4               0.079      0.063      1.257      0.209
    U8$1               0.543      0.054     10.103      0.000
    U8$2              -0.541      0.055     -9.823      0.000
    U8$3               1.095      0.060     18.305      0.000
    U8$4               0.084      0.065      1.290      0.197
    U9$1               0.510      0.053      9.618      0.000
    U9$2              -0.532      0.054     -9.807      0.000
    U9$3               1.054      0.060     17.707      0.000
    U9$4              -0.045      0.064     -0.707      0.479
    U10$1              0.526      0.053      9.874      0.000
    U10$2             -0.517      0.055     -9.402      0.000
    U10$3              1.036      0.060     17.386      0.000
    U10$4             -0.012      0.065     -0.179      0.858
    U11$1              0.556      0.054     10.266      0.000
    U11$2             -0.534      0.055     -9.670      0.000
    U11$3              1.064      0.060     17.712      0.000
    U11$4              0.058      0.065      0.887      0.375
    U12$1              0.588      0.054     10.986      0.000
    U12$2             -0.579      0.055    -10.595      0.000
    U12$3              1.072      0.059     18.130      0.000
    U12$4             -0.002      0.064     -0.036      0.971
    U13$1              0.598      0.054     11.141      0.000
    U13$2             -0.545      0.055     -9.906      0.000
    U13$3              0.990      0.059     16.830      0.000
    U13$4             -0.010      0.064     -0.157      0.876
    U14$1              0.616      0.054     11.491      0.000
    U14$2             -0.581      0.055    -10.582      0.000
    U14$3              0.991      0.059     16.889      0.000
    U14$4             -0.108      0.062     -1.759      0.079
    U15$1              0.540      0.053     10.260      0.000
    U15$2             -0.479      0.055     -8.761      0.000
    U15$3              0.963      0.059     16.316      0.000
    U15$4             -0.013      0.063     -0.204      0.839
    U16$1              0.517      0.053      9.732      0.000
    U16$2             -0.460      0.055     -8.356      0.000
    U16$3              0.907      0.059     15.406      0.000
    U16$4              0.079      0.062      1.274      0.203
    U17$1              0.439      0.053      8.332      0.000
    U17$2             -0.431      0.054     -7.929      0.000
    U17$3              0.996      0.059     16.761      0.000
    U17$4              0.090      0.064      1.397      0.162
    U18$1              0.619      0.054     11.512      0.000
    U18$2             -0.572      0.056    -10.263      0.000
    U18$3              1.016      0.060     17.048      0.000
    U18$4             -0.045      0.063     -0.708      0.479
    U19$1              0.596      0.054     11.080      0.000
    U19$2             -0.575      0.055    -10.405      0.000
    U19$3              1.047      0.060     17.573      0.000
    U19$4             -0.047      0.064     -0.734      0.463
    U20$1              0.475      0.053      9.003      0.000
    U20$2             -0.462      0.054     -8.517      0.000
    U20$3              0.916      0.059     15.651      0.000
    U20$4              0.105      0.062      1.689      0.091

 Variances
    F                  1.000      0.000    999.000    999.000


IRT PARAMETERIZATION

 Item Discriminations

 F        BY
    U1                 0.982      0.029     33.901      0.000
    U2                 1.016      0.030     34.345      0.000
    U3                 1.011      0.030     33.401      0.000
    U4                 1.085      0.032     33.713      0.000
    U5                 0.989      0.029     33.637      0.000
    U6                 0.993      0.030     33.557      0.000
    U7                 1.012      0.030     33.907      0.000
    U8                 1.063      0.031     34.575      0.000
    U9                 0.991      0.029     34.209      0.000
    U10                1.032      0.030     34.603      0.000
    U11                1.056      0.031     33.638      0.000
    U12                0.988      0.030     33.392      0.000
    U13                0.980      0.029     33.441      0.000
    U14                0.938      0.027     34.386      0.000
    U15                0.981      0.029     33.648      0.000
    U16                1.023      0.030     34.611      0.000
    U17                1.051      0.031     34.195      0.000
    U18                1.004      0.029     34.345      0.000
    U19                0.999      0.030     33.838      0.000
    U20                1.005      0.030     33.331      0.000

 Item Locations
    U1                 0.285      0.020     14.042      0.000
    U2                 0.242      0.020     12.147      0.000
    U3                 0.242      0.020     12.124      0.000
    U4                 0.271      0.020     13.798      0.000
    U5                 0.272      0.020     13.450      0.000
    U6                 0.257      0.020     12.770      0.000
    U7                 0.270      0.020     13.402      0.000
    U8                 0.278      0.020     13.999      0.000
    U9                 0.249      0.020     12.383      0.000
    U10                0.250      0.020     12.601      0.000
    U11                0.271      0.020     13.634      0.000
    U12                0.273      0.020     13.472      0.000
    U13                0.263      0.020     13.033      0.000
    U14                0.245      0.021     11.925      0.000
    U15                0.258      0.020     12.735      0.000
    U16                0.255      0.020     12.766      0.000
    U17                0.260      0.020     13.132      0.000
    U18                0.253      0.020     12.667      0.000
    U19                0.256      0.020     12.736      0.000
    U20                0.257      0.020     12.780      0.000

 Item Categories

  U1
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.276      0.055     -5.059      0.000
    Category 3         0.712      0.056     12.774      0.000
    Category 4        -0.757      0.060    -12.522      0.000
    Category 5         0.321      0.061      5.273      0.000
  U2
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.263      0.053     -4.935      0.000
    Category 3         0.795      0.055     14.573      0.000
    Category 4        -0.838      0.059    -14.207      0.000
    Category 5         0.307      0.060      5.125      0.000
  U3
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.228      0.053     -4.297      0.000
    Category 3         0.684      0.054     12.677      0.000
    Category 4        -0.709      0.058    -12.289      0.000
    Category 5         0.253      0.058      4.331      0.000
  U4
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.242      0.052     -4.627      0.000
    Category 3         0.794      0.052     15.197      0.000
    Category 4        -0.741      0.054    -13.651      0.000
    Category 5         0.189      0.055      3.410      0.001
  U5
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.274      0.055     -5.013      0.000
    Category 3         0.764      0.055     13.818      0.000
    Category 4        -0.815      0.061    -13.446      0.000
    Category 5         0.324      0.062      5.223      0.000
  U6
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.274      0.055     -4.969      0.000
    Category 3         0.765      0.056     13.777      0.000
    Category 4        -0.759      0.059    -12.891      0.000
    Category 5         0.267      0.060      4.493      0.000
  U7
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.211      0.052     -4.057      0.000
    Category 3         0.719      0.053     13.479      0.000
    Category 4        -0.700      0.057    -12.361      0.000
    Category 5         0.191      0.057      3.362      0.001
  U8
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.233      0.052     -4.521      0.000
    Category 3         0.787      0.053     14.967      0.000
    Category 4        -0.752      0.055    -13.579      0.000
    Category 5         0.199      0.056      3.559      0.000
  U9
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.265      0.055     -4.855      0.000
    Category 3         0.786      0.055     14.183      0.000
    Category 4        -0.815      0.059    -13.744      0.000
    Category 5         0.294      0.060      4.893      0.000
  U10
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.259      0.053     -4.934      0.000
    Category 3         0.751      0.053     14.048      0.000
    Category 4        -0.753      0.057    -13.107      0.000
    Category 5         0.261      0.058      4.468      0.000
  U11
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.256      0.053     -4.838      0.000
    Category 3         0.776      0.053     14.615      0.000
    Category 4        -0.737      0.056    -13.226      0.000
    Category 5         0.216      0.057      3.819      0.000
  U12
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.323      0.057     -5.698      0.000
    Category 3         0.860      0.057     15.098      0.000
    Category 4        -0.812      0.060    -13.621      0.000
    Category 5         0.275      0.061      4.529      0.000
  U13
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.347      0.058     -6.020      0.000
    Category 3         0.820      0.058     14.253      0.000
    Category 4        -0.747      0.060    -12.542      0.000
    Category 5         0.274      0.061      4.510      0.000
  U14
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.412      0.060     -6.882      0.000
    Category 3         0.864      0.060     14.324      0.000
    Category 4        -0.812      0.062    -13.011      0.000
    Category 5         0.360      0.063      5.734      0.000
  U15
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.293      0.055     -5.327      0.000
    Category 3         0.746      0.056     13.313      0.000
    Category 4        -0.723      0.059    -12.209      0.000
    Category 5         0.271      0.060      4.528      0.000
  U16
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.251      0.053     -4.757      0.000
    Category 3         0.705      0.054     13.041      0.000
    Category 4        -0.632      0.056    -11.339      0.000
    Category 5         0.178      0.055      3.223      0.001
  U17
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.157      0.050     -3.148      0.002
    Category 3         0.670      0.052     12.977      0.000
    Category 4        -0.687      0.055    -12.403      0.000
    Category 5         0.175      0.056      3.140      0.002
  U18
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.363      0.056     -6.483      0.000
    Category 3         0.823      0.057     14.508      0.000
    Category 4        -0.758      0.059    -12.883      0.000
    Category 5         0.298      0.059      5.034      0.000
  U19
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.341      0.056     -6.057      0.000
    Category 3         0.831      0.057     14.653      0.000
    Category 4        -0.792      0.059    -13.368      0.000
    Category 5         0.302      0.060      5.028      0.000
  U20
    Category 1         0.000      0.000      0.000      1.000
    Category 2        -0.215      0.053     -4.047      0.000
    Category 3         0.717      0.054     13.212      0.000
    Category 4        -0.654      0.056    -11.661      0.000
    Category 5         0.152      0.056      2.717      0.007

 Variances
    F                  1.000      0.000      0.000      1.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.181E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
                   21            22            23            24            25


           TAU
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                   26            27            28            29            30


           TAU
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                   31            32            33            34            35


           TAU
              U4$4          U5$1          U5$2          U5$3          U5$4
              ________      ________      ________      ________      ________
                   36            37            38            39            40


           TAU
              U6$1          U6$2          U6$3          U6$4          U7$1
              ________      ________      ________      ________      ________
                   41            42            43            44            45


           TAU
              U7$2          U7$3          U7$4          U8$1          U8$2
              ________      ________      ________      ________      ________
                   46            47            48            49            50


           TAU
              U8$3          U8$4          U9$1          U9$2          U9$3
              ________      ________      ________      ________      ________
                   51            52            53            54            55


           TAU
              U9$4          U10$1         U10$2         U10$3         U10$4
              ________      ________      ________      ________      ________
                   56            57            58            59            60


           TAU
              U11$1         U11$2         U11$3         U11$4         U12$1
              ________      ________      ________      ________      ________
                   61            62            63            64            65


           TAU
              U12$2         U12$3         U12$4         U13$1         U13$2
              ________      ________      ________      ________      ________
                   66            67            68            69            70


           TAU
              U13$3         U13$4         U14$1         U14$2         U14$3
              ________      ________      ________      ________      ________
                   71            72            73            74            75


           TAU
              U14$4         U15$1         U15$2         U15$3         U15$4
              ________      ________      ________      ________      ________
                   76            77            78            79            80


           TAU
              U16$1         U16$2         U16$3         U16$4         U17$1
              ________      ________      ________      ________      ________
                   81            82            83            84            85


           TAU
              U17$2         U17$3         U17$4         U18$1         U18$2
              ________      ________      ________      ________      ________
                   86            87            88            89            90


           TAU
              U18$3         U18$4         U19$1         U19$2         U19$3
              ________      ________      ________      ________      ________
                   91            92            93            94            95


           TAU
              U19$4         U20$1         U20$2         U20$3         U20$4
              ________      ________      ________      ________      ________
                   96            97            98            99           100


           NU
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U11           U12           U13           U14           U15
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U16           U17           U18           U19           U20
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              F
              ________
 U1                 1
 U2                 2
 U3                 3
 U4                 4
 U5                 5
 U6                 6
 U7                 7
 U8                 8
 U9                 9
 U10               10
 U11               11
 U12               12
 U13               13
 U14               14
 U15               15
 U16               16
 U17               17
 U18               18
 U19               19
 U20               20


           THETA
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0
 U4                 0             0             0             0
 U5                 0             0             0             0             0
 U6                 0             0             0             0             0
 U7                 0             0             0             0             0
 U8                 0             0             0             0             0
 U9                 0             0             0             0             0
 U10                0             0             0             0             0
 U11                0             0             0             0             0
 U12                0             0             0             0             0
 U13                0             0             0             0             0
 U14                0             0             0             0             0
 U15                0             0             0             0             0
 U16                0             0             0             0             0
 U17                0             0             0             0             0
 U18                0             0             0             0             0
 U19                0             0             0             0             0
 U20                0             0             0             0             0


           THETA
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U6                 0
 U7                 0             0
 U8                 0             0             0
 U9                 0             0             0             0
 U10                0             0             0             0             0
 U11                0             0             0             0             0
 U12                0             0             0             0             0
 U13                0             0             0             0             0
 U14                0             0             0             0             0
 U15                0             0             0             0             0
 U16                0             0             0             0             0
 U17                0             0             0             0             0
 U18                0             0             0             0             0
 U19                0             0             0             0             0
 U20                0             0             0             0             0


           THETA
              U11           U12           U13           U14           U15
              ________      ________      ________      ________      ________
 U11                0
 U12                0             0
 U13                0             0             0
 U14                0             0             0             0
 U15                0             0             0             0             0
 U16                0             0             0             0             0
 U17                0             0             0             0             0
 U18                0             0             0             0             0
 U19                0             0             0             0             0
 U20                0             0             0             0             0


           THETA
              U16           U17           U18           U19           U20
              ________      ________      ________      ________      ________
 U16                0
 U17                0             0
 U18                0             0             0
 U19                0             0             0             0
 U20                0             0             0             0             0


           ALPHA
              F
              ________
                    0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     STARTING VALUES


           TAU
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
                1.052        -0.366         0.660        -0.832         1.060


           TAU
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
               -0.483         0.744        -0.877         1.016        -0.369


           TAU
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                0.610        -0.813         1.128        -0.504         0.696


           TAU
              U4$4          U5$1          U5$2          U5$3          U5$4
              ________      ________      ________      ________      ________
               -0.806         1.053        -0.426         0.715        -0.850


           TAU
              U6$1          U6$2          U6$3          U6$4          U7$1
              ________      ________      ________      ________      ________
                1.052        -0.433         0.658        -0.804         1.020


           TAU
              U7$2          U7$3          U7$4          U8$1          U8$2
              ________      ________      ________      ________      ________
               -0.389         0.614        -0.743         1.101        -0.481


           TAU
              U8$3          U8$4          U9$1          U9$2          U9$3
              ________      ________      ________      ________      ________
                0.698        -0.795         1.038        -0.457         0.707


           TAU
              U9$4          U10$1         U10$2         U10$3         U10$4
              ________      ________      ________      ________      ________
               -0.834         1.075        -0.443         0.670        -0.840


           TAU
              U11$1         U11$2         U11$3         U11$4         U12$1
              ________      ________      ________      ________      ________
                1.111        -0.471         0.676        -0.807         1.105


           TAU
              U12$2         U12$3         U12$4         U13$1         U13$2
              ________      ________      ________      ________      ________
               -0.515         0.715        -0.800         1.111        -0.476


           TAU
              U13$3         U13$4         U14$1         U14$2         U14$3
              ________      ________      ________      ________      ________
                0.644        -0.791         1.112        -0.504         0.674


           TAU
              U14$4         U15$1         U15$2         U15$3         U15$4
              ________      ________      ________      ________      ________
               -0.837         1.057        -0.409         0.618        -0.793


           TAU
              U16$1         U16$2         U16$3         U16$4         U17$1
              ________      ________      ________      ________      ________
                1.060        -0.387         0.546        -0.741         0.999


           TAU
              U17$2         U17$3         U17$4         U18$1         U18$2
              ________      ________      ________      ________      ________
               -0.361         0.614        -0.768         1.148        -0.500


           TAU
              U18$3         U18$4         U19$1         U19$2         U19$3
              ________      ________      ________      ________      ________
                0.664        -0.843         1.124        -0.503         0.695


           TAU
              U19$4         U20$1         U20$2         U20$3         U20$4
              ________      ________      ________      ________      ________
               -0.843         1.012        -0.388         0.560        -0.702


           NU
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U11           U12           U13           U14           U15
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U16           U17           U18           U19           U20
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              F
              ________
 U1             1.000
 U2             1.000
 U3             1.000
 U4             1.000
 U5             1.000
 U6             1.000
 U7             1.000
 U8             1.000
 U9             1.000
 U10            1.000
 U11            1.000
 U12            1.000
 U13            1.000
 U14            1.000
 U15            1.000
 U16            1.000
 U17            1.000
 U18            1.000
 U19            1.000
 U20            1.000


           THETA
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 U4             0.000         0.000         0.000         1.000
 U5             0.000         0.000         0.000         0.000         1.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 U9             0.000         0.000         0.000         0.000         0.000
 U10            0.000         0.000         0.000         0.000         0.000
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U14            0.000         0.000         0.000         0.000         0.000
 U15            0.000         0.000         0.000         0.000         0.000
 U16            0.000         0.000         0.000         0.000         0.000
 U17            0.000         0.000         0.000         0.000         0.000
 U18            0.000         0.000         0.000         0.000         0.000
 U19            0.000         0.000         0.000         0.000         0.000
 U20            0.000         0.000         0.000         0.000         0.000


           THETA
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U6             1.000
 U7             0.000         1.000
 U8             0.000         0.000         1.000
 U9             0.000         0.000         0.000         1.000
 U10            0.000         0.000         0.000         0.000         1.000
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U14            0.000         0.000         0.000         0.000         0.000
 U15            0.000         0.000         0.000         0.000         0.000
 U16            0.000         0.000         0.000         0.000         0.000
 U17            0.000         0.000         0.000         0.000         0.000
 U18            0.000         0.000         0.000         0.000         0.000
 U19            0.000         0.000         0.000         0.000         0.000
 U20            0.000         0.000         0.000         0.000         0.000


           THETA
              U11           U12           U13           U14           U15
              ________      ________      ________      ________      ________
 U11            1.000
 U12            0.000         1.000
 U13            0.000         0.000         1.000
 U14            0.000         0.000         0.000         1.000
 U15            0.000         0.000         0.000         0.000         1.000
 U16            0.000         0.000         0.000         0.000         0.000
 U17            0.000         0.000         0.000         0.000         0.000
 U18            0.000         0.000         0.000         0.000         0.000
 U19            0.000         0.000         0.000         0.000         0.000
 U20            0.000         0.000         0.000         0.000         0.000


           THETA
              U16           U17           U18           U19           U20
              ________      ________      ________      ________      ________
 U16            1.000
 U17            0.000         1.000
 U18            0.000         0.000         1.000
 U19            0.000         0.000         0.000         1.000
 U20            0.000         0.000         0.000         0.000         1.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12678920D+06    0.0000000    0.0000000  EM
              2 -0.12179181D+06 4997.3920372    0.0394150  EM
              3 -0.12168778D+06  104.0329214    0.0008542  EM
              4 -0.12167601D+06   11.7633239    0.0000967  EM
              5 -0.12166697D+06    9.0409311    0.0000743  EM
              6 -0.12165985D+06    7.1228628    0.0000585  EM
              7 -0.12162454D+06   35.3127037    0.0002903  FS
              8 -0.12162113D+06    3.4010235    0.0000280  FS
              9 -0.12162110D+06    0.0344081    0.0000003  FS
             10 -0.12162110D+06    0.0024837    0.0000000  FS
             11 -0.12162110D+06    0.0000715    0.0000000  FS


SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES


     SAMPLE STATISTICS


           Means
              F             F_SE
              ________      ________
                0.000         0.237


           Covariances
              F             F_SE
              ________      ________
 F              0.936
 F_SE          -0.028         0.007


           Correlations
              F             F_SE
              ________      ________
 F              1.000
 F_SE          -0.336         1.000


PLOT INFORMATION

The following plots are available:

  Histograms (sample values, estimated factor scores)
  Scatterplots (sample values, estimated factor scores)
  Sample proportions and estimated probabilities
  Item characteristic curves
  Information curves
  Latent variable distribution plots

     Beginning Time:  04:41:47
        Ending Time:  04:41:53
       Elapsed Time:  00:00:06



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