Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-18T18:47:43.928Z Has data issue: false hasContentIssue false

12 - Clustering and Stratification

Published online by Cambridge University Press:  17 April 2022

Michael P. Fay
Affiliation:
National Institute of Allergy and Infectious Diseases
Erica H. Brittain
Affiliation:
National Institute of Allergy and Infectious Diseases
Get access

Summary

This chapter deals with either clustering, where every individual within each cluster has the same treatment, or stratification, where there are individuals with different treatments within each stratum. For the studies with clustering, we compare two individual-level analysis methods (generalized estimating equations and random effects models), and a cluster-level analysis (performing a t-test on the means from each cluster). We simulate cluster analyses when the effect is or is not related to cluster size. In the stratification context, we explore Simpson’s paradox, where the direction of the within stratum effects is different from the direction of the overall effect. We show the appropriate analysis of data that are consistent with Simpson’s paradox should adjust for the strata or not depending on the study design. We discuss the stratification adjusted tests of Mantel and Haenszel, van Elteren, and quasi-likelihood binomial or Poisson models. We compare meta-analysis using fixed effects or random effects (e.g., Dersimonian–Laird method). Finally, we describe confidence intervals for directly standardized rates.

Type
Chapter
Information
Statistical Hypothesis Testing in Context
Reproducibility, Inference, and Science
, pp. 215 - 234
Publisher: Cambridge University Press
Print publication year: 2022

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×