IPW-GEE Estimation of Marginal Logistic Regression Model for Odds of Amenorrhea
Clinical Trial of Contracepting Women

The GENMOD Procedure

Model Information
Data Set WORK.COMBINE
Distribution Binomial
Link Function Logit
Dependent Variable y
Scale Weight Variable ipw

Number of Observations Read 4053
Number of Observations Used 3616
Sum of Weights 4603.764
Number of Events 1231
Number of Trials 3616
Missing Values 437

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 ...

Response Profile
Ordered
Value		 y Total
Frequency		 Total
Weight
1 1 1231 1725.197
2 0 2385 2878.567


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

Parameter Information
Parameter Effect
Prm1 Intercept
Prm2 dose
Prm3 time
Prm4 time*time
Prm5 dose*time
Prm6 dose*time*time

Algorithm converged.

GEE Model Information
Correlation Structure Independent
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

Algorithm converged.

GEE Fit Criteria
QIC 5724.0788
QICu 5717.7003

Analysis Of GEE Parameter Estimates
Empirical Standard Error Estimates
Parameter Estimate Standard Error 95% Confidence Limits Z Pr > |Z|
Intercept -1.4964 0.1075 -1.7071 -1.2858 -13.92 <.0001
dose 0.1081 0.1492 -0.1844 0.4006 0.72 0.4688
time 0.5379 0.1337 0.2759 0.7999 4.02 <.0001
time*time -0.0037 0.0405 -0.0831 0.0757 -0.09 0.9276
dose*time 0.4089 0.1908 0.0349 0.7829 2.14 0.0321
dose*time*time -0.1263 0.0577 -0.2394 -0.0133 -2.19 0.0285