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 the Cox regression model
montecarlo:
names = t x;
generate = t(s 20*1);
hazardc = t (.5);
survival = t;
nobs = 50;
nreps = 1;
save = ex6.20.dat;
model population:
x@0;
x@1;
[t#1-t#21*1];
t on x*.5;
analysis:
model:
t on x*.5;
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a continuous-time
survival analysis using the Cox regression model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 50
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)
Non-parametric
T
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 OFF
Cholesky OFF
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
X
________
0.022
Covariances
X
________
X 0.968
Correlations
X
________
X 1.000
MODEL FIT INFORMATION
Number of Free Parameters 1
Loglikelihood
H0 Value
Mean 5.099
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 5.099 5.099
0.980 0.000 5.099 5.099
0.950 0.000 5.099 5.099
0.900 0.000 5.099 5.099
0.800 0.000 5.099 5.099
0.700 0.000 5.099 5.099
0.500 0.000 5.099 5.099
0.300 0.000 5.099 5.099
0.200 0.000 5.099 5.099
0.100 0.000 5.099 5.099
0.050 0.000 5.099 5.099
0.020 0.000 5.099 5.099
0.010 0.000 5.099 5.099
Information Criteria
Akaike (AIC)
Mean -8.198
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -8.198 -8.198
0.980 0.000 -8.198 -8.198
0.950 0.000 -8.198 -8.198
0.900 0.000 -8.198 -8.198
0.800 0.000 -8.198 -8.198
0.700 0.000 -8.198 -8.198
0.500 0.000 -8.198 -8.198
0.300 0.000 -8.198 -8.198
0.200 0.000 -8.198 -8.198
0.100 0.000 -8.198 -8.198
0.050 0.000 -8.198 -8.198
0.020 0.000 -8.198 -8.198
0.010 0.000 -8.198 -8.198
Bayesian (BIC)
Mean -6.286
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -6.286 -6.286
0.980 0.000 -6.286 -6.286
0.950 0.000 -6.286 -6.286
0.900 0.000 -6.286 -6.286
0.800 0.000 -6.286 -6.286
0.700 0.000 -6.286 -6.286
0.500 0.000 -6.286 -6.286
0.300 0.000 -6.286 -6.286
0.200 0.000 -6.286 -6.286
0.100 0.000 -6.286 -6.286
0.050 0.000 -6.286 -6.286
0.020 0.000 -6.286 -6.286
0.010 0.000 -6.286 -6.286
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean -9.425
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -9.425 -9.425
0.980 0.000 -9.425 -9.425
0.950 0.000 -9.425 -9.425
0.900 0.000 -9.425 -9.425
0.800 0.000 -9.425 -9.425
0.700 0.000 -9.425 -9.425
0.500 0.000 -9.425 -9.425
0.300 0.000 -9.425 -9.425
0.200 0.000 -9.425 -9.425
0.100 0.000 -9.425 -9.425
0.050 0.000 -9.425 -9.425
0.020 0.000 -9.425 -9.425
0.010 0.000 -9.425 -9.425
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
T ON
X 0.500 0.4939 0.0000 0.2624 0.0000 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.100E+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
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 0.500
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
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 0.500
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
BASE HAZARD PARAMETERS
T#6 T#7 T#8 T#9 T#10
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
BASE HAZARD PARAMETERS
T#11 T#12 T#13 T#14 T#15
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
BASE HAZARD PARAMETERS
T#16 T#17 T#18 T#19 T#20
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
BASE HAZARD PARAMETERS
T#21
________
1.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 0.50985968D+01 0.0000000 0.0000000 EM
2 0.50989315D+01 0.0003347 0.0000656 EM
3 0.50989315D+01 0.0000000 0.0000000 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
T
X
_TCENT
Save file
ex6.20.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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