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More efficient logistic analysis using moving extreme ranked set sampling
Authors:Hani M. Samawi  Haresh Rochani  Daniel Linder  Arpita Chatterjee
Affiliation:1. Jiann-Ping Hsu College of Public Health, The Karl E. Peace Center for Biostatistics, Georgia Southern University, Statesboro, GA, USA;2. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, USA
Abstract:Logistic regression is the most popular technique available for modeling dichotomous-dependent variables. It has intensive application in the field of social, medical, behavioral and public health sciences. In this paper we propose a more efficient logistic regression analysis based on moving extreme ranked set sampling (MERSSmin) scheme with ranking based on an easy-to-available auxiliary variable known to be associated with the variable of interest (response variable). The paper demonstrates that this approach will provide more powerful testing procedure as well as more efficient odds ratio and parameter estimation than using simple random sample (SRS). Theoretical derivation and simulation studies will be provided. Real data from 2011 Youth Risk Behavior Surveillance System (YRBSS) data are used to illustrate the procedures developed in this paper.
Keywords:Ranked set sampling  odds ratio  moving extreme ranked set sampling  logistic regression
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