## The Annals of Mathematical Statistics

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

### On Splitting a Systematic Sample for Variance Estimation

#### 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