More efficient logistic analysis using moving extreme ranked set sampling. Issue 4 (12th March 2017)

• Record Type: Journal Article
• Authors: Samawi, Hani M.; Rochani, Haresh; Linder, Daniel; Chatterjee, Arpita
• Is Part Of: Journal of applied statistics. Volume 44:Issue 4(2017)
• Page Start: 753
• Page End: 766
• Publication Date: 2017-03-12
• Subjects: Ranked set sampling -- odds ratio -- moving extreme ranked set sampling -- logistic regression; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2016.1182136
• Languages: English
• ISSNs: 0266-4763

Abstract

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.