Marginal Logistic Regression Model for Odds of Amenorrhea
Clinical Trial of Contracepting Women

The GENMOD Procedure

Model Information
Data Set WORK.AMEN
Distribution Binomial
Link Function Logit
Dependent Variable y

Number of Observations Read 4604
Number of Observations Used 3616
Number of Events 1231
Number of Trials 3616
Missing Values 988

Class Level Information
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 ...
ctime 4 1 2 3 4

Response Profile
Ordered
Value		 y Total
Frequency
1 1 1231
2 0 2385


PROC GENMOD is modeling the probability that y='1'.

Parameter Information
Parameter Effect
Prm1 Intercept
Prm2 time
Prm3 time2
Prm4 time*trt
Prm5 time2*trt

Algorithm converged.

GEE Model Information
Log Odds Ratio Structure Fully Parameterized Clusters
Within-Subject Effect ctime (4 levels)
Subject Effect id (1151 levels)
Number of Clusters 1151
Clusters With Missing Values 437
Correlation Matrix Dimension 4
Maximum Cluster Size 4
Minimum Cluster Size 1

Log Odds Ratio Parameter
Information
Parameter Group
Alpha1 (1, 2)
Alpha2 (1, 3)
Alpha3 (1, 4)
Alpha4 (2, 3)
Alpha5 (2, 4)
Alpha6 (3, 4)

Algorithm converged.

GEE Fit Criteria
QIC 4384.3523
QICu 4382.4909

Analysis Of GEE Parameter Estimates
Empirical Standard Error Estimates
Parameter Estimate Standard Error 95% Confidence Limits Z Pr > |Z|
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
time2*trt -0.0683 0.0284 -0.1239 -0.0126 -2.40 0.0162
Alpha1 1.8475 0.1810 1.4928 2.2021 10.21 <.0001
Alpha2 1.4851 0.1985 1.0960 1.8742 7.48 <.0001
Alpha3 1.7605 0.2482 1.2740 2.2471 7.09 <.0001
Alpha4 2.1610 0.1761 1.8159 2.5060 12.27 <.0001
Alpha5 2.0665 0.2034 1.6679 2.4651 10.16 <.0001
Alpha6 2.2783 0.1827 1.9202 2.6364 12.47 <.0001