Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 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
________
-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
________ ________ ________
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
________ ________ ________
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
________ ________ ________ ________ ________
2 3 4 5 6
BASE HAZARD PARAMETERS
T#6 T#7 T#8 T#9 T#10
________ ________ ________ ________ ________
7 8 9 10 11
BASE HAZARD PARAMETERS
T#11 T#12 T#13 T#14 T#15
________ ________ ________ ________ ________
12 13 14 15 16
BASE HAZARD PARAMETERS
T#16 T#17 T#18 T#19 T#20
________ ________ ________ ________ ________
17 18 19 20 21
BASE HAZARD PARAMETERS
T#21
________
22
STARTING VALUES
NU
T#1 T X
________ ________ ________
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
________ ________ ________
-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
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#6 T#7 T#8 T#9 T#10
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#11 T#12 T#13 T#14 T#15
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#16 T#17 T#18 T#19 T#20
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#21
________
0.050
POPULATION VALUES
NU
T#1 T X
________ ________ ________
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
________ ________ ________
-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
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#6 T#7 T#8 T#9 T#10
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#11 T#12 T#13 T#14 T#15
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#16 T#17 T#18 T#19 T#20
________ ________ ________ ________ ________
0.050 0.050 0.050 0.050 0.050
BASE HAZARD PARAMETERS
T#21
________
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: 22:24:19
Ending Time: 22:24:19
Elapsed Time: 00:00:00
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