Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:18 PM

INPUT INSTRUCTIONS

  title:	this is an example of a continuous-time
      survival analysis using a parametric model
  montecarlo:
  	names = t x;
  	generate = t(s 20*1);
  	hazardc = t (.05);
      survival = t(20*1);
  	nobs = 500;
  	nreps = 1;
  	save = ex6.21.dat;

  model population:
      x@0;
      x@1;
      [t#1-t#21*.05];
      t on x*.1;

  analysis:
      basehazard = on;

  model:
      [t#1-t#21*.05];
      t on x*.1;

  output:
  	tech8 tech9;




INPUT READING TERMINATED NORMALLY



this is an example of a continuous-time
survival analysis using a parametric model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

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

Observed dependent variables

  Time-to-event (survival)

    Parametric (time intervals)
     T (20)

Observed independent variables
   X


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                            0
  Adaptive quadrature                                           ON
Base Hazard                                                     ON
Cholesky                                                       OFF


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              X
              ________
 1             -0.034


           Covariances
              X
              ________
 X              1.021


           Correlations
              X
              ________
 X              1.000




MODEL FIT INFORMATION

Number of Free Parameters                       22

Loglikelihood

    H0 Value

        Mean                             -1037.276
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -1037.276      -1037.276
           0.980       0.000        -1037.276      -1037.276
           0.950       0.000        -1037.276      -1037.276
           0.900       0.000        -1037.276      -1037.276
           0.800       0.000        -1037.276      -1037.276
           0.700       0.000        -1037.276      -1037.276
           0.500       0.000        -1037.276      -1037.276
           0.300       0.000        -1037.276      -1037.276
           0.200       0.000        -1037.276      -1037.276
           0.100       0.000        -1037.276      -1037.276
           0.050       0.000        -1037.276      -1037.276
           0.020       0.000        -1037.276      -1037.276
           0.010       0.000        -1037.276      -1037.276

Information Criteria

    Akaike (AIC)

        Mean                              2118.552
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2118.552       2118.552
           0.980       0.000         2118.552       2118.552
           0.950       0.000         2118.552       2118.552
           0.900       0.000         2118.552       2118.552
           0.800       0.000         2118.552       2118.552
           0.700       0.000         2118.552       2118.552
           0.500       0.000         2118.552       2118.552
           0.300       0.000         2118.552       2118.552
           0.200       0.000         2118.552       2118.552
           0.100       0.000         2118.552       2118.552
           0.050       0.000         2118.552       2118.552
           0.020       0.000         2118.552       2118.552
           0.010       0.000         2118.552       2118.552

    Bayesian (BIC)

        Mean                              2211.273
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2211.273       2211.273
           0.980       0.000         2211.273       2211.273
           0.950       0.000         2211.273       2211.273
           0.900       0.000         2211.273       2211.273
           0.800       0.000         2211.273       2211.273
           0.700       0.000         2211.273       2211.273
           0.500       0.000         2211.273       2211.273
           0.300       0.000         2211.273       2211.273
           0.200       0.000         2211.273       2211.273
           0.100       0.000         2211.273       2211.273
           0.050       0.000         2211.273       2211.273
           0.020       0.000         2211.273       2211.273
           0.010       0.000         2211.273       2211.273

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                              2141.444
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2141.444       2141.444
           0.980       0.000         2141.444       2141.444
           0.950       0.000         2141.444       2141.444
           0.900       0.000         2141.444       2141.444
           0.800       0.000         2141.444       2141.444
           0.700       0.000         2141.444       2141.444
           0.500       0.000         2141.444       2141.444
           0.300       0.000         2141.444       2141.444
           0.200       0.000         2141.444       2141.444
           0.100       0.000         2141.444       2141.444
           0.050       0.000         2141.444       2141.444
           0.020       0.000         2141.444       2141.444
           0.010       0.000         2141.444       2141.444



MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 T          ON
  X                   0.100     0.0903     0.0000     0.0629     0.0001 1.000 0.000

Base Hazard Parameters
  T#1                 0.050     0.0456     0.0000     0.0097     0.0000 1.000 1.000
  T#2                 0.050     0.0453     0.0000     0.0101     0.0000 1.000 1.000
  T#3                 0.050     0.0579     0.0000     0.0121     0.0001 1.000 1.000
  T#4                 0.050     0.0415     0.0000     0.0107     0.0001 1.000 1.000
  T#5                 0.050     0.0368     0.0000     0.0107     0.0002 1.000 1.000
  T#6                 0.050     0.0622     0.0000     0.0147     0.0001 1.000 1.000
  T#7                 0.050     0.0613     0.0000     0.0153     0.0001 1.000 1.000
  T#8                 0.050     0.0598     0.0000     0.0159     0.0001 1.000 1.000
  T#9                 0.050     0.0610     0.0000     0.0169     0.0001 1.000 1.000
  T#10                0.050     0.0468     0.0000     0.0157     0.0000 1.000 1.000
  T#11                0.050     0.0689     0.0000     0.0201     0.0004 1.000 1.000
  T#12                0.050     0.0626     0.0000     0.0198     0.0002 1.000 1.000
  T#13                0.050     0.0556     0.0000     0.0197     0.0000 1.000 1.000
  T#14                0.050     0.0610     0.0000     0.0214     0.0001 1.000 1.000
  T#15                0.050     0.0597     0.0000     0.0226     0.0001 1.000 1.000
  T#16                0.050     0.0392     0.0000     0.0196     0.0001 1.000 1.000
  T#17                0.050     0.0443     0.0000     0.0219     0.0000 1.000 1.000
  T#18                0.050     0.0626     0.0000     0.0280     0.0002 1.000 1.000
  T#19                0.050     0.0548     0.0000     0.0273     0.0000 1.000 1.000
  T#20                0.050     0.0914     0.0000     0.0369     0.0017 1.000 1.000
  T#21                0.050     0.0438     0.0000     0.0074     0.0000 1.000 1.000

QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.145E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              T#1           T             X
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              T#1           T             X
              ________      ________      ________
 T#1                0             0             0
 T                  0             0             0
 X                  0             0             0


           THETA
              T#1           T             X
              ________      ________      ________
 T#1                0
 T                  0             0
 X                  0             0             0


           ALPHA
              T#1           T             X
              ________      ________      ________
 1                  0             0             0


           BETA
              T#1           T             X
              ________      ________      ________
 T#1                0             0             0
 T                  0             0             1
 X                  0             0             0


           PSI
              T#1           T             X
              ________      ________      ________
 T#1                0
 T                  0             0
 X                  0             0             0


     PARAMETER SPECIFICATION FOR THE BASE HAZARD PARAMETERS


           BASE HAZARD PARAMETERS
              T#1           T#2           T#3           T#4           T#5
              ________      ________      ________      ________      ________
 1                  2             3             4             5             6


           BASE HAZARD PARAMETERS
              T#6           T#7           T#8           T#9           T#10
              ________      ________      ________      ________      ________
 1                  7             8             9            10            11


           BASE HAZARD PARAMETERS
              T#11          T#12          T#13          T#14          T#15
              ________      ________      ________      ________      ________
 1                 12            13            14            15            16


           BASE HAZARD PARAMETERS
              T#16          T#17          T#18          T#19          T#20
              ________      ________      ________      ________      ________
 1                 17            18            19            20            21


           BASE HAZARD PARAMETERS
              T#21
              ________
 1                 22


     STARTING VALUES


           NU
              T#1           T             X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              T#1           T             X
              ________      ________      ________
 T#1            1.000         0.000         0.000
 T              0.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              T#1           T             X
              ________      ________      ________
 T#1            0.000
 T              0.000         0.000
 X              0.000         0.000         0.000


           ALPHA
              T#1           T             X
              ________      ________      ________
 1            -20.000         0.000         0.000


           BETA
              T#1           T             X
              ________      ________      ________
 T#1            0.000         0.000         0.000
 T              0.000         0.000         0.100
 X              0.000         0.000         0.000


           PSI
              T#1           T             X
              ________      ________      ________
 T#1            0.000
 T              0.000         0.000
 X              0.000         0.000         0.500


     STARTING VALUES FOR THE BASE HAZARD PARAMETERS


           BASE HAZARD PARAMETERS
              T#1           T#2           T#3           T#4           T#5
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#6           T#7           T#8           T#9           T#10
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#11          T#12          T#13          T#14          T#15
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#16          T#17          T#18          T#19          T#20
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#21
              ________
 1              0.050


     POPULATION VALUES


           NU
              T#1           T             X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              T#1           T             X
              ________      ________      ________
 T#1            1.000         0.000         0.000
 T              0.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              T#1           T             X
              ________      ________      ________
 T#1            0.000
 T              0.000         0.000
 X              0.000         0.000         0.000


           ALPHA
              T#1           T             X
              ________      ________      ________
 1            -20.000         0.000         0.000


           BETA
              T#1           T             X
              ________      ________      ________
 T#1            0.000         0.000         0.000
 T              0.000         0.000         0.100
 X              0.000         0.000         0.000


           PSI
              T#1           T             X
              ________      ________      ________
 T#1            0.000
 T              0.000         0.000
 X              0.000         0.000         1.000


     POPULATION VALUES FOR THE BASE HAZARD PARAMETERS


           BASE HAZARD PARAMETERS
              T#1           T#2           T#3           T#4           T#5
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#6           T#7           T#8           T#9           T#10
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#11          T#12          T#13          T#14          T#15
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#16          T#17          T#18          T#19          T#20
              ________      ________      ________      ________      ________
 1              0.050         0.050         0.050         0.050         0.050


           BASE HAZARD PARAMETERS
              T#21
              ________
 1              0.050


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10423847D+04    0.0000000    0.0000000  EM
              2 -0.10376624D+04    4.7222918    0.0045303  EM
              3 -0.10372835D+04    0.3788580    0.0003651  EM
              4 -0.10372760D+04    0.0075163    0.0000072  EM
              5 -0.10372760D+04    0.0000100    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    T
    X
    _TCENT

  Save file
    ex6.21.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  17:18:27
        Ending Time:  17:18:27
       Elapsed Time:  00:00:00



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