|
Mixed Effects Logistic Regression Model (Random Intercept) |
|
Crossover Trial on Cerebrovascular Deficiency |
|
The NLMIXED Procedure |
|
Specifications |
|
|
Data Set |
WORK.ECG |
|
Dependent Variable |
y |
|
Distribution for Dependent Variable |
Binary |
|
Random Effects |
b |
|
Distribution for Random Effects |
Normal |
|
Subject Variable |
id |
|
Optimization Technique |
Dual Quasi-Newton |
|
Integration Method |
Adaptive Gaussian Quadrature |
|
Dimensions |
|
|
Observations Used |
134 |
|
Observations Not Used |
0 |
|
Total Observations |
134 |
|
Subjects |
67 |
|
Max Obs Per Subject |
2 |
|
Parameters |
4 |
|
Quadrature Points |
100 |
|
Parameters |
||||
|
beta1 |
beta2 |
beta3 |
g11 |
NegLogLike |
|
-1.2433 |
0.5689 |
0.2951 |
0 |
81.9459637 |
|
-1.2433 |
0.5689 |
0.2951 |
1 |
76.6705695 |
|
-1.2433 |
0.5689 |
0.2951 |
2 |
74.476733 |
|
-1.2433 |
0.5689 |
0.2951 |
3 |
73.326818 |
|
-1.2433 |
0.5689 |
0.2951 |
4 |
72.6585965 |
|
-1.2433 |
0.5689 |
0.2951 |
5 |
72.2515785 |
|
-1.2433 |
0.5689 |
0.2951 |
6 |
72.0008713 |
|
-1.2433 |
0.5689 |
0.2951 |
7 |
71.8501062 |
|
-1.2433 |
0.5689 |
0.2951 |
8 |
71.7663266 |
|
-1.2433 |
0.5689 |
0.2951 |
9 |
71.7290335 |
|
-1.2433 |
0.5689 |
0.2951 |
10 |
71.7248581 |
|
-1.2433 |
0.5689 |
0.2951 |
11 |
71.7447494 |
|
-1.2433 |
0.5689 |
0.2951 |
12 |
71.7823919 |
|
-1.2433 |
0.5689 |
0.2951 |
13 |
71.8332682 |
|
-1.2433 |
0.5689 |
0.2951 |
14 |
71.8940793 |
|
-1.2433 |
0.5689 |
0.2951 |
15 |
71.9623744 |
|
-1.2433 |
0.5689 |
0.2951 |
16 |
72.0363051 |
|
-1.2433 |
0.5689 |
0.2951 |
17 |
72.1144603 |
|
-1.2433 |
0.5689 |
0.2951 |
18 |
72.1957509 |
|
-1.2433 |
0.5689 |
0.2951 |
19 |
72.2793291 |
|
-1.2433 |
0.5689 |
0.2951 |
20 |
72.3645295 |
|
-1.2433 |
0.5689 |
0.2951 |
21 |
72.4508265 |
|
-1.2433 |
0.5689 |
0.2951 |
22 |
72.5378033 |
|
-1.2433 |
0.5689 |
0.2951 |
23 |
72.6251274 |
|
-1.2433 |
0.5689 |
0.2951 |
24 |
72.7125334 |
|
-1.2433 |
0.5689 |
0.2951 |
25 |
72.7998086 |
|
-1.2433 |
0.5689 |
0.2951 |
26 |
72.8867827 |
|
-1.2433 |
0.5689 |
0.2951 |
27 |
72.9733194 |
|
-1.2433 |
0.5689 |
0.2951 |
28 |
73.0593099 |
|
-1.2433 |
0.5689 |
0.2951 |
29 |
73.1446675 |
|
-1.2433 |
0.5689 |
0.2951 |
30 |
73.2293239 |
|
Iteration History |
||||||
|
Iter |
|
Calls |
NegLogLike |
Diff |
MaxGrad |
Slope |
|
1 |
|
2 |
70.332678 |
1.39218 |
1.634808 |
-20.185 |
|
2 |
|
3 |
69.1403617 |
1.192316 |
1.461227 |
-8.58493 |
|
3 |
|
5 |
68.9554236 |
0.184938 |
0.861207 |
-0.83103 |
|
4 |
|
6 |
68.8533309 |
0.102093 |
0.595175 |
-0.39638 |
|
5 |
|
7 |
68.7825584 |
0.070772 |
0.149509 |
-0.10394 |
|
6 |
|
8 |
68.6719498 |
0.110609 |
0.501813 |
-0.07426 |
|
7 |
|
10 |
68.3035499 |
0.3684 |
0.664555 |
-0.1395 |
|
8 |
|
12 |
68.141998 |
0.161552 |
0.215389 |
-0.13545 |
|
9 |
|
14 |
68.1321728 |
0.009825 |
0.024086 |
-0.01285 |
|
10 |
|
16 |
68.1302746 |
0.001898 |
0.01711 |
-0.00145 |
|
11 |
|
18 |
68.1301789 |
0.000096 |
0.004659 |
-0.00015 |
|
12 |
|
20 |
68.1301695 |
9.399E-6 |
0.000597 |
-0.00001 |
|
13 |
|
22 |
68.1301694 |
1.087E-7 |
0.000055 |
-1.66E-7 |
|
NOTE: GCONV convergence criterion satisfied. |
|
Fit Statistics |
|
|
-2 Log Likelihood |
136.3 |
|
AIC (smaller is better) |
144.3 |
|
AICC (smaller is better) |
144.6 |
|
BIC (smaller is better) |
153.1 |
|
Parameter Estimates |
|||||||||
|
Parameter |
Estimate |
Standard Error |
DF |
t Value |
Pr > |t| |
Alpha |
Lower |
Upper |
Gradient |
|
beta1 |
-4.0817 |
1.6711 |
66 |
-2.44 |
0.0173 |
0.05 |
-7.4182 |
-0.7451 |
-0.00003 |
|
beta2 |
1.8631 |
0.9269 |
66 |
2.01 |
0.0485 |
0.05 |
0.01240 |
3.7138 |
0.000032 |
|
beta3 |
1.0376 |
0.8189 |
66 |
1.27 |
0.2096 |
0.05 |
-0.5974 |
2.6725 |
-0.00006 |
|
g11 |
24.4365 |
18.8500 |
66 |
1.30 |
0.1994 |
0.05 |
-13.1987 |
62.0717 |
7.77E-7 |