Two-stage cluster sampling with unequal probability sampling in the first stage and ranked set sampling in the second stage-Reference-Cited by-同舟云学术

Two-stage cluster sampling with unequal probability sampling in the first stage and ranked set sampling in the second stage

Published:2022-09-01 Issue:3 Volume:23 Page:199-214
ISSN:2450-0291
Container-title:Statistics in Transition New Series
language:en
Short-container-title:

Author:

Ugwu Michael C.¹^ORCID,Madukaife Mbanefo S.²^ORCID

Affiliation:

1. Department of Statistics , University of Nigeria , Nsukka , Nigeria .

2. Department of Statistics , University of Nigeria , Nsukka . Nigeria .

Abstract

Abstract In this research work we introduce a new sampling design, namely a two-stage cluster sampling, where probability proportional to size with replacement is used in the first stage unit and ranked set sampling in the second in order to address the issue of marked variability in the sizes of population units concerned with first stage sampling. We obtained an unbiased estimator of the population mean and total, as well as the variance of the mean estimator. We calculated the relative efficiency of the new sampling design to the two-stage cluster sampling with simple random sampling in the first stage and ranked set sampling in the second stage. The results demonstrated that the new sampling design is more efficient than the competing design when a significant variation is observed in the first stage units.

Publisher

Polskie Towarzystwo Statystyczne

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.sciendo.com/pdf/10.2478/stattrans-2022-0038

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