Marginal Logistic Regression Model

Crossover Trial on Cerebrovascular Deficiency

The GENMOD Procedure

Model Information
Data Set	WORK.ECG
Distribution	Binomial
Link Function	Logit
Dependent Variable	y
Observations Used	134

Class Level Information
Class	Levels	Values
id	67	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

Response Profile
Ordered Value	y	Total Frequency
1	1	42
2	0	92

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

Parameter Information
Parameter	Effect
Prm1	Intercept
Prm2	trt
Prm3	period

Criteria For Assessing Goodness Of Fit
Criterion	DF	Value	Value/DF
Deviance	131	163.8863	1.2510
Scaled Deviance	131	163.8863	1.2510
Pearson Chi-Square	131	133.5123	1.0192
Scaled Pearson X2	131	133.5123	1.0192
Log Likelihood		-81.9432

Algorithm converged.

Analysis Of Initial Parameter Estimates
Parameter	DF	Estimate	Standard Error	Wald 95% Confidence Limits		Chi-Square	Pr > ChiSq
Intercept	1	-1.2186	0.3441	-1.8931	-0.5440	12.54	0.0004
trt	1	0.5582	0.3784	-0.1835	1.2998	2.18	0.1402
period	1	0.2743	0.3768	-0.4642	1.0129	0.53	0.4666
Scale	0	1.0000	0.0000	1.0000	1.0000

NOTE:

The scale parameter was held fixed.

GEE Model Information
Log Odds Ratio Structure	Fully Parameterized Clusters
Subject Effect	id (67 levels)
Number of Clusters	67
Correlation Matrix Dimension	2
Maximum Cluster Size	2
Minimum Cluster Size	2

Log Odds Ratio Parameter Information
Parameter	Group
Alpha1	(1, 2)

Algorithm converged.

Analysis Of GEE Parameter Estimates
Empirical Standard Error Estimates
Parameter	Estimate	Standard Error	95% Confidence Limits		Z	Pr > |Z|
Intercept	-1.2433	0.2999	-1.8311	-0.6556	-4.15	<.0001
trt	0.5689	0.2335	0.1112	1.0266	2.44	0.0148
period	0.2951	0.2319	-0.1593	0.7496	1.27	0.2030
Alpha1	3.5617	0.8148	1.9647	5.1587	4.37	<.0001