Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:36 AM

INPUT INSTRUCTIONS

  TITLE:	this is an example of modeling with data
  		not missing at random (NMAR) using the
  		Diggle-Kenward selection model
  DATA:		FILE = ex11.3.dat;
  VARIABLE:	NAMES = z1-z5 y0 y1-y5;
  		USEVARIABLES = y0-y5 d1-d5;
  		MISSING = ALL (999);
  		CATEGORICAL = d1-d5;
  DATA MISSING:	
  		NAMES = y0-y5;
  		TYPE = SDROPOUT;
  		BINARY = d1-d5;
  ANALYSIS:	ESTIMATOR = ML;
  		ALGORITHM = INTEGRATION;
  		INTEGRATION = MONTECARLO;
  		PROCESSORS = 2;
  MODEL:	i s | y0@0 y1@1 y2@2 y3@3 y4@4 y5@5;
  		d1 ON y0 (1)
  		y1 (2);
  		d2 ON y1 (1)
  		y2 (2);
  		d3 ON y2 (1)
  		y3 (2);
  		d4 ON y3 (1)
  		y4 (2);
  		d5 ON y4 (1)
  		y5 (2);
  OUTPUT:	TECH1;



INPUT READING TERMINATED NORMALLY



this is an example of modeling with data
not missing at random (NMAR) using the
Diggle-Kenward selection model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of dependent variables                                   11
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y0          Y1          Y2          Y3          Y4          Y5

  Binary and ordered categorical (ordinal)
   D1          D2          D3          D4          D5

Continuous latent variables
   I           S


Estimator                                                       ML
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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                  MONTECARLO
  Number of integration points                                1250
  Dimensions of numerical integration                            5
  Adaptive quadrature                                           ON
  Monte Carlo integration seed                                   0
Link                                                         LOGIT
Cholesky                                                       OFF

Input data file(s)
  ex11.3.dat
Input data format  FREE


SUMMARY OF DATA

     Number of missing data patterns            32
     Number of y missing data patterns          32
     Number of u missing data patterns           5


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
 D1             1.000
 D2             0.967         0.967
 D3             0.932         0.932         0.932
 D4             0.878         0.878         0.878         0.878
 D5             0.838         0.838         0.838         0.838         0.838
 Y0             1.000         0.967         0.932         0.878         0.838
 Y1             0.736         0.736         0.701         0.671         0.645
 Y2             0.693         0.693         0.693         0.639         0.621
 Y3             0.615         0.615         0.615         0.615         0.575
 Y4             0.724         0.724         0.724         0.724         0.724
 Y5             0.687         0.687         0.687         0.687         0.687


           Covariance Coverage
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y0             1.000
 Y1             0.736         0.736
 Y2             0.693         0.535         0.693
 Y3             0.615         0.491         0.469         0.615
 Y4             0.724         0.562         0.555         0.516         0.724
 Y5             0.687         0.541         0.530         0.501         0.573


           Covariance Coverage
              Y5
              ________
 Y5             0.687


     PROPORTION OF DATA PRESENT FOR U


           Covariance Coverage
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
 D1             1.000
 D2             0.967         0.967
 D3             0.932         0.932         0.932
 D4             0.878         0.878         0.878         0.878
 D5             0.838         0.838         0.838         0.838         0.838


     PROPORTION OF DATA PRESENT FOR Y


           Covariance Coverage
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y0             1.000
 Y1             0.736         0.736
 Y2             0.693         0.535         0.693
 Y3             0.615         0.491         0.469         0.615
 Y4             0.724         0.562         0.555         0.516         0.724
 Y5             0.687         0.541         0.530         0.501         0.573


           Covariance Coverage
              Y5
              ________
 Y5             0.687


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    D1
      Category 1    0.967          967.000
      Category 2    0.033           33.000
    D2
      Category 1    0.964          932.000
      Category 2    0.036           35.000
    D3
      Category 1    0.942          878.000
      Category 2    0.058           54.000
    D4
      Category 1    0.954          838.000
      Category 2    0.046           40.000
    D5
      Category 1    0.820          687.000
      Category 2    0.180          151.000



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y0                    2.038       0.067      -0.371    0.10%       1.306      1.816      2.017
            1000.000       0.692      -0.158       4.779    0.10%       2.256      2.736
     Y1                    0.900      -0.067      -1.759    0.14%       0.238      0.717      0.914
             736.000       0.648       0.094       3.132    0.14%       1.083      1.553
     Y2                   -0.224      -0.076      -3.059    0.14%      -1.061     -0.443     -0.234
             693.000       0.969       0.081       2.838    0.14%       0.006      0.617
     Y3                   -1.437      -0.149      -4.833    0.16%      -2.293     -1.670     -1.428
             615.000       1.168      -0.008       1.487    0.16%      -1.133     -0.508
     Y4                   -2.476      -0.154      -6.979    0.14%      -3.566     -2.734     -2.424
             724.000       1.969       0.430       3.148    0.14%      -2.142     -1.315
     Y5                   -3.685      -0.222      -9.753    0.15%      -4.903     -4.009     -3.650
             687.000       2.383       0.737       0.907    0.15%      -3.285     -2.465


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       18

Loglikelihood

          H0 Value                       -6526.797

Information Criteria

          Akaike (AIC)                   13089.595
          Bayesian (BIC)                 13177.934
          Sample-Size Adjusted BIC       13120.765
            (n* = (n + 2) / 24)



MODEL RESULTS

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

 I        |
    Y0                 1.000      0.000    999.000    999.000
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000
    Y5                 1.000      0.000    999.000    999.000

 S        |
    Y0                 0.000      0.000    999.000    999.000
    Y1                 1.000      0.000    999.000    999.000
    Y2                 2.000      0.000    999.000    999.000
    Y3                 3.000      0.000    999.000    999.000
    Y4                 4.000      0.000    999.000    999.000
    Y5                 5.000      0.000    999.000    999.000

 D1         ON
    Y0                 0.359      0.160      2.239      0.025
    Y1                 0.586      0.179      3.265      0.001

 D2         ON
    Y1                 0.359      0.160      2.239      0.025
    Y2                 0.586      0.179      3.265      0.001

 D3         ON
    Y2                 0.359      0.160      2.239      0.025
    Y3                 0.586      0.179      3.265      0.001

 D4         ON
    Y3                 0.359      0.160      2.239      0.025
    Y4                 0.586      0.179      3.265      0.001

 D5         ON
    Y4                 0.359      0.160      2.239      0.025
    Y5                 0.586      0.179      3.265      0.001

 S        WITH
    I                  0.000      0.009      0.030      0.976

 Means
    I                  1.998      0.023     88.323      0.000
    S                 -1.045      0.013    -77.985      0.000

 Intercepts
    Y0                 0.000      0.000    999.000    999.000
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    Y5                 0.000      0.000    999.000    999.000

 Thresholds
    D1$1               4.848      0.260     18.621      0.000
    D2$1               3.803      0.221     17.196      0.000
    D3$1               2.410      0.192     12.555      0.000
    D4$1               1.790      0.214      8.345      0.000
    D5$1              -0.842      0.240     -3.503      0.000

 Variances
    I                  0.235      0.025      9.575      0.000
    S                  0.090      0.006     14.249      0.000

 Residual Variances
    Y0                 0.462      0.030     15.322      0.000
    Y1                 0.353      0.023     15.107      0.000
    Y2                 0.333      0.022     14.849      0.000
    Y3                 0.255      0.021     12.017      0.000
    Y4                 0.454      0.035     12.840      0.000
    Y5                 0.435      0.046      9.412      0.000


LOGISTIC REGRESSION ODDS RATIO RESULTS

 D1         ON
    Y0                 1.432
    Y1                 1.796

 D2         ON
    Y1                 1.432
    Y2                 1.796

 D3         ON
    Y2                 1.432
    Y3                 1.796

 D4         ON
    Y3                 1.432
    Y4                 1.796

 D5         ON
    Y4                 1.432
    Y5                 1.796


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.218E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           TAU
              D1$1          D2$1          D3$1          D4$1          D5$1
              ________      ________      ________      ________      ________
                   14            15            16            17            18


           NU
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              Y5
              ________
                    0


           LAMBDA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 D1                 0             0             0             0             0
 D2                 0             0             0             0             0
 D3                 0             0             0             0             0
 D4                 0             0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 D1                 0             0             0             0             0
 D2                 0             0             0             0             0
 D3                 0             0             0             0             0
 D4                 0             0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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
              Y3            Y4            Y5
              ________      ________      ________
 D1                 0             0             0
 D2                 0             0             0
 D3                 0             0             0
 D4                 0             0             0
 D5                 0             0             0
 Y0                 0             0             0
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 Y5                 0             0             0


           THETA
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
 D1                 0
 D2                 0             0
 D3                 0             0             0
 D4                 0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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


           THETA
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y0                 0
 Y1                 0             0
 Y2                 0             0             0
 Y3                 0             0             0             0
 Y4                 0             0             0             0             0
 Y5                 0             0             0             0             0


           THETA
              Y5
              ________
 Y5                 0


           ALPHA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
                    1             2             0             0             0


           ALPHA
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           ALPHA
              Y3            Y4            Y5
              ________      ________      ________
                    0             0             0


           BETA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 I                  0             0             0             0             0
 S                  0             0             0             0             0
 D1                 0             0             0             0             0
 D2                 0             0             0             0             0
 D3                 0             0             0             0             0
 D4                 0             0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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


           BETA
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 I                  0             0             0             0             0
 S                  0             0             0             0             0
 D1                 0             0             3             4             0
 D2                 0             0             0             3             4
 D3                 0             0             0             0             3
 D4                 0             0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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


           BETA
              Y3            Y4            Y5
              ________      ________      ________
 I                  0             0             0
 S                  0             0             0
 D1                 0             0             0
 D2                 0             0             0
 D3                 4             0             0
 D4                 3             4             0
 D5                 0             3             4
 Y0                 0             0             0
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 Y5                 0             0             0


           PSI
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 I                  5
 S                  6             7
 D1                 0             0             0
 D2                 0             0             0             0
 D3                 0             0             0             0             0
 D4                 0             0             0             0             0
 D5                 0             0             0             0             0
 Y0                 0             0             0             0             0
 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


           PSI
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 D4                 0
 D5                 0             0
 Y0                 0             0             8
 Y1                 0             0             0             9
 Y2                 0             0             0             0            10
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 Y5                 0             0             0             0             0


           PSI
              Y3            Y4            Y5
              ________      ________      ________
 Y3                11
 Y4                 0            12
 Y5                 0             0            13


     STARTING VALUES


           TAU
              D1$1          D2$1          D3$1          D4$1          D5$1
              ________      ________      ________      ________      ________
                3.378         3.282         2.789         3.042         1.515


           NU
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y5
              ________
                0.000


           LAMBDA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 D1             0.000         0.000         1.000         0.000         0.000
 D2             0.000         0.000         0.000         1.000         0.000
 D3             0.000         0.000         0.000         0.000         1.000
 D4             0.000         0.000         0.000         0.000         0.000
 D5             0.000         0.000         0.000         0.000         0.000
 Y0             0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 D1             0.000         0.000         0.000         0.000         0.000
 D2             0.000         0.000         0.000         0.000         0.000
 D3             0.000         0.000         0.000         0.000         0.000
 D4             1.000         0.000         0.000         0.000         0.000
 D5             0.000         1.000         0.000         0.000         0.000
 Y0             0.000         0.000         1.000         0.000         0.000
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y3            Y4            Y5
              ________      ________      ________
 D1             0.000         0.000         0.000
 D2             0.000         0.000         0.000
 D3             0.000         0.000         0.000
 D4             0.000         0.000         0.000
 D5             0.000         0.000         0.000
 Y0             0.000         0.000         0.000
 Y1             0.000         0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             1.000         0.000         0.000
 Y4             0.000         1.000         0.000
 Y5             0.000         0.000         1.000


           THETA
              D1            D2            D3            D4            D5
              ________      ________      ________      ________      ________
 D1             0.000
 D2             0.000         0.000
 D3             0.000         0.000         0.000
 D4             0.000         0.000         0.000         0.000
 D5             0.000         0.000         0.000         0.000         0.000
 Y0             0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           THETA
              Y0            Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y0             0.000
 Y1             0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           THETA
              Y5
              ________
 Y5             0.000


           ALPHA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
                2.084        -0.942         0.000         0.000         0.000


           ALPHA
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y3            Y4            Y5
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 D1             0.000         0.000         0.000         0.000         0.000
 D2             0.000         0.000         0.000         0.000         0.000
 D3             0.000         0.000         0.000         0.000         0.000
 D4             0.000         0.000         0.000         0.000         0.000
 D5             0.000         0.000         0.000         0.000         0.000
 Y0             1.000         0.000         0.000         0.000         0.000
 Y1             1.000         1.000         0.000         0.000         0.000
 Y2             1.000         2.000         0.000         0.000         0.000
 Y3             1.000         3.000         0.000         0.000         0.000
 Y4             1.000         4.000         0.000         0.000         0.000
 Y5             1.000         5.000         0.000         0.000         0.000


           BETA
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 D1             0.000         0.000         0.000         0.000         0.000
 D2             0.000         0.000         0.000         0.000         0.000
 D3             0.000         0.000         0.000         0.000         0.000
 D4             0.000         0.000         0.000         0.000         0.000
 D5             0.000         0.000         0.000         0.000         0.000
 Y0             0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           BETA
              Y3            Y4            Y5
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.000
 D1             0.000         0.000         0.000
 D2             0.000         0.000         0.000
 D3             0.000         0.000         0.000
 D4             0.000         0.000         0.000
 D5             0.000         0.000         0.000
 Y0             0.000         0.000         0.000
 Y1             0.000         0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000
 Y5             0.000         0.000         0.000


           PSI
              I             S             D1            D2            D3
              ________      ________      ________      ________      ________
 I              0.530
 S              0.000         0.232
 D1             0.000         0.000         1.000
 D2             0.000         0.000         0.000         1.000
 D3             0.000         0.000         0.000         0.000         1.000
 D4             0.000         0.000         0.000         0.000         0.000
 D5             0.000         0.000         0.000         0.000         0.000
 Y0             0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           PSI
              D4            D5            Y0            Y1            Y2
              ________      ________      ________      ________      ________
 D4             1.000
 D5             0.000         1.000
 Y0             0.000         0.000         0.346
 Y1             0.000         0.000         0.000         0.324
 Y2             0.000         0.000         0.000         0.000         0.484
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           PSI
              Y3            Y4            Y5
              ________      ________      ________
 Y3             0.584
 Y4             0.000         0.985
 Y5             0.000         0.000         1.191


     Beginning Time:  04:36:05
        Ending Time:  04:36:26
       Elapsed Time:  00:00:21



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2017 Muthen & Muthen

Back to examples