The Annals of Mathematical Statistics

On Splitting a Systematic Sample for Variance Estimation

J. C. Koop

Full-text: Open access

Abstract

Variance estimation in systematic sampling by splitting the sample into equal halves can lead to very serious bias. The expression for this bias relative to the true variance is given in terms of intraclass correlation coefficients. The danger of serious bias is still present when successive pairs of units are treated as "independent" replicates; an expression for this relative bias is also given.

Article information

Source
Ann. Math. Statist., Volume 42, Number 3 (1971), 1084-1087.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177693336

Digital Object Identifier
doi:10.1214/aoms/1177693336

Zentralblatt MATH identifier
0216.47501

JSTOR
links.jstor.org

Citation

Koop, J. C. On Splitting a Systematic Sample for Variance Estimation. Ann. Math. Statist. 42 (1971), no. 3, 1084--1087. doi:10.1214/aoms/1177693336. https://projecteuclid.org/euclid.aoms/1177693336


Export citation