Document Type

Article

Publication Date

3-2017

Publication Title

Communications for Statistical Applications and Methods

DOI

10.5351/CSAM.2017.24.3.241

Abstract

Drawing a sample can be costly or time consuming in some studies. However, it may be possible to rank the sampling units according to some baseline auxiliary covariates, which are easily obtainable, and/or cost efficient. Ranked set sampling (RSS) is a method to achieve this goal. In this paper, we propose a modified approach of the RSS method to allocate units into an experimental study that compares L groups. Computer simulation estimates the empirical nominal values and the empirical power values for the test procedure of comparing L different groups using modified RSS based on the regression approach in analysis of covariance (ANCOVA) models. A comparison to simple random sampling (SRS) is made to demonstrate efficiency. The results indicate that the required sample sizes for a given precision are smaller under RSS than under SRS. The modified RSS protocol was applied to an experimental study. The experimental study was designed to obtain a better understanding of the pathways by which positive experiences (i.e., goal completion) contribute to higher levels of happiness, well-being, and life satisfaction. The use of the RSS method resulted in a cost reduction associated with smaller sample size without losing the precision of the analysis.

Comments

Copyright Statement: Copyright © The Korean Statistical Society and Korean International Statistical Society. All Rights Reserved. Communications for Statistical Applications and Methods is an official journal of the Korean Statistical Society (KSS) and Korean International Statistical Society (KISS). It is an international and Open Access journal dedicated to publishing peer-reviewed, high quality and innovative statistical research.

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