Open AccessSensitive proportion in ranked set sampling
Author(s) -
Azhar Mehmood Abbasi,
Muhammad Yousaf Shad
Publication year - 2021
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0256699
Subject(s) - estimator , statistics , sampling (signal processing) , simple random sample , mathematics , population mean , population , set (abstract data type) , efficiency , algorithm , computer science , medicine , environmental health , filter (signal processing) , computer vision , programming language
This paper considers the concomitant-based rank set sampling (CRSS) for estimation of the sensitive proportion. It is shown that CRSS procedure provides an unbiased estimator of the population sensitive proportion, and it is always more precise than corresponding sample sensitive proportion (Warner SL (1965)) that based on simple random sampling (SRS) without increasing sampling cost. Additionally, a new estimator based on ratio method is introduced using CRSS protocol, preserving the respondent’s confidentiality through a randomizing device. The numerical results of these estimators are obtained by using numerical integration technique. An application to real data is also given to support the methods.