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https://doi.org/10.1017/S0021932003000014

has been cited by the following article:

• TITLE: Estimation of Attributable Risk from Clustered Binary Data: The Case of Cross-Sectional and Cohort Studies

  AUTHORS: Mohamed Shoukri, Allan Donner, Futwan Al-Mohanna

  KEYWORDS: Correlated Binary Responses, Effect Size, Split-Cluster Design, Correlated Attributable Risks, Confidence Intervals, Monte-Carlo Simulations

  JOURNAL NAME: Open Journal of Statistics, Vol.7 No.2, April 24, 2017

  ABSTRACT: Effect sizes are estimated from several study designs when the subjects are individually sampled. When the samples are the aggregate cluster of individuals, the within cluster correlation must be accounted for to construct correct confidence intervals, and to conduct valid statistical inference. The purpose of this article is to propose and evaluate statistical procedures for the estimation of the variance of the estimated attributable risk in parallel groups of clusters, and in a design dividing each of k clusters into two segments creating multiple sub-clusters. The estimated variance is the first order approximation and is obtained by the delta method. We apply the methodology and propose a Wald type confidence interval on the difference between two correlated attributable risks. We also construct a test on the hypothesis of equality of two correlated attributable risks. We evaluate the power of the proposed test via Monte-Carlo simulations.