Logistic Regression: A Self-learning Text, Third Edition (Statistics in the Health Sciences)

II. The Alternating Logistic Regressions Algorithm Modeling associations: GEE approach ALR approach correlationsðrsÞ odds ratios ...

ALR: dichotomous outcomes only GEE: dichotomous and other out- comes are allowed For many health scientists, an odds ratio mea- ...

Output from using the GEE approach is pre- sented on the left. An exchangeable correlation structure is assumed. (This GEE outpu ...

The regression parameter estimates are very similar for the two models. The odds ratio for aspirin use on artery reocclusion is ...

Key difference:GEE vs. ALR GEE:rjkare typically nuisance parameters ALR: ORjkare parameters of interest ALR: allows inferences a ...

CLR approach ) responses assumed independent Subject-specific gi allows for conditioning by subject fixed effect Responses can b ...

Estimation of predictors Analysis Within- subject variability Between- subject variability Matched (CLR) p Correlated (GEE) pp N ...

All strata concordant) model will not run Within-subject variability for one or more independent variable  Model will run  P ...

Heartburn Relief Model: (Subject modeled asfixed effect) logit PðXÞ¼b 0 þb 1 RX þ~ 39 i¼ 1 giVi; where Vi¼ 1 for subject i 0 oth ...

IV. The Generalized Linear Mixed Model Approach Mixed models:  Random effects  Fixed effects  Cluster effect is random variab ...

For each subject: logit of baseline risk = (b 0 + b 0 i) b 0 i = subject-specific intercept No random effect for RX + RX effect ...

Typical model for random Y:  Fixed component (fixed effects)  Random component (error) Random effects model:  Fixed component ...

eij¼YijPðYij¼ 1 jXÞ; where PðYij¼ 1 jXÞ¼m ¼ 1 1 þexp ðb 0 þ~ p h¼ 1 bhXhijþb 0 iÞ "# GLM GEE Model Yi¼miþeij Yij¼mijþeij R Ind ...

Covariance Þ unique correlation but correlation Þ unique covariance Forith subject:  Rmatrix dimensions depend on number of obs ...

GEE vs. MLM GEE model: logit m = b 0 + b 1 RX No subject-specific random effects (b 0 i) Within-subject correlation specified in ...

Heartburn Relief Study: GEE: marginal model expðb^ 1 ÞispopulationdOR MLM: expðb^ 1 ÞisdOR for anindividual What is an individua ...

Parameter estimation for MLM in SAS: GLIMMIX  Penalized quasi-likelihood equations  User specifiesGandR NLMIXED  Maximized ap ...

Computer Appendix We suggest that you review the material cov- ered here by reading the detailed outline that follows. A Compute ...

Detailed Outline I. Overview(page 570) A. Other approaches for analysis of correlated data: i. Alternating logistic regressions ...

C. As with the conditional logistic regression approach, subject-specific effects are included in the model: logitmi¼PðD¼ 1 jRXÞ ...