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Marginal Logistic Regression Model for Odds of Amenorrhea |
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Clinical Trial of Contracepting Women |
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The GENMOD Procedure |
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Model Information |
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Data Set |
WORK.AMEN |
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Distribution |
Binomial |
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Link Function |
Logit |
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Dependent Variable |
y |
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Observations Used |
3616 |
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Missing Values |
988 |
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Class Level Information |
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Class |
Levels |
Values |
|
id |
1151 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 ... |
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ctime |
4 |
1 2 3 4 |
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Response Profile |
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Ordered |
y |
Total |
|
1 |
1 |
1231 |
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2 |
0 |
2385 |
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PROC GENMOD is modeling the probability that y='1'. |
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Parameter Information |
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Parameter |
Effect |
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Prm1 |
Intercept |
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Prm2 |
time |
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Prm3 |
time2 |
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Prm4 |
time*trt |
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Prm5 |
time2*trt |
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Criteria For Assessing Goodness Of Fit |
|||
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Criterion |
DF |
Value |
Value/DF |
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Deviance |
3611 |
4369.4460 |
1.2100 |
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Scaled Deviance |
3611 |
4369.4460 |
1.2100 |
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Pearson Chi-Square |
3611 |
3620.6287 |
1.0027 |
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Scaled Pearson X2 |
3611 |
3620.6287 |
1.0027 |
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Log Likelihood |
|
-2184.7230 |
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Algorithm converged. |
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Analysis Of Initial Parameter Estimates |
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Parameter |
DF |
Estimate |
Standard Error |
Wald 95% Confidence Limits |
Chi-Square |
Pr > ChiSq |
|
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Intercept |
1 |
-2.1955 |
0.2059 |
-2.5991 |
-1.7920 |
113.73 |
<.0001 |
|
time |
1 |
0.6698 |
0.1932 |
0.2911 |
1.0485 |
12.02 |
0.0005 |
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time2 |
1 |
-0.0303 |
0.0398 |
-0.1084 |
0.0478 |
0.58 |
0.4468 |
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time*trt |
1 |
0.2973 |
0.1097 |
0.0824 |
0.5122 |
7.35 |
0.0067 |
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time2*trt |
1 |
-0.0624 |
0.0322 |
-0.1256 |
0.0007 |
3.76 |
0.0526 |
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Scale |
0 |
1.0000 |
0.0000 |
1.0000 |
1.0000 |
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GEE Model Information |
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Log Odds Ratio Structure |
Fully Parameterized Clusters |
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Within-Subject Effect |
ctime (4 levels) |
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Subject Effect |
id (1151 levels) |
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Number of Clusters |
1151 |
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Clusters With Missing Values |
437 |
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Correlation Matrix Dimension |
4 |
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Maximum Cluster Size |
4 |
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Minimum Cluster Size |
1 |
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Log Odds Ratio Parameter Information |
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Parameter |
Group |
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Alpha1 |
(1, 2) |
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Alpha2 |
(1, 3) |
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Alpha3 |
(1, 4) |
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Alpha4 |
(2, 3) |
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Alpha5 |
(2, 4) |
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Alpha6 |
(3, 4) |
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Algorithm converged. |
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Analysis Of GEE Parameter Estimates |
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Empirical Standard Error Estimates |
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Parameter |
Estimate |
Standard Error |
95% Confidence Limits |
Z |
Pr > |Z| |
|
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Intercept |
-2.2461 |
0.1765 |
-2.5921 |
-1.9001 |
-12.72 |
<.0001 |
|
time |
0.7030 |
0.1581 |
0.3931 |
1.0129 |
4.45 |
<.0001 |
|
time2 |
-0.0323 |
0.0318 |
-0.0946 |
0.0299 |
-1.02 |
0.3089 |
|
time*trt |
0.3380 |
0.1097 |
0.1230 |
0.5529 |
3.08 |
0.0021 |
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time2*trt |
-0.0683 |
0.0284 |
-0.1239 |
-0.0126 |
-2.40 |
0.0162 |
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Alpha1 |
1.8475 |
0.1810 |
1.4928 |
2.2021 |
10.21 |
<.0001 |
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Alpha2 |
1.4851 |
0.1985 |
1.0960 |
1.8742 |
7.48 |
<.0001 |
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Alpha3 |
1.7605 |
0.2482 |
1.2740 |
2.2471 |
7.09 |
<.0001 |
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Alpha4 |
2.1610 |
0.1761 |
1.8159 |
2.5060 |
12.27 |
<.0001 |
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Alpha5 |
2.0665 |
0.2034 |
1.6679 |
2.4651 |
10.16 |
<.0001 |
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Alpha6 |
2.2783 |
0.1827 |
1.9202 |
2.6364 |
12.47 |
<.0001 |