Survey Methodology
A note on Wilson coverage intervals for proportions estimated from complex samples

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by Phillip S. KottNote 1

  • Release date: December 21, 2017
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Abstract

This note discusses the theoretical foundations for the extension of the Wilson two-sided coverage interval to an estimated proportion computed from complex survey data. The interval is shown to be asymptotically equivalent to an interval derived from a logistic transformation. A mildly better version is discussed, but users may prefer constructing a one-sided interval already in the literature.

Key Words:      Effective sample size; Confidence interval; Logistic transformation.

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How to cite

Kott, P.S. (2017). A note on Wilson coverage intervals for proportions estimated from complex samples. Survey Methodology, Statistics Canada, Catalogue No. 12-001-X, Vol. 43, No. 2. Paper available at http://www.statcan.gc.ca/pub/12-001-x/2017002/article/54872-eng.htm.

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ISSN : 1492-0921

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Published by authority of the Minister responsible for Statistics Canada.

© Minister of Industry, 2017

Use of this publication is governed by the Statistics Canada Open Licence Agreement.

Catalogue No. 12-001-X

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Table of contents

Abstract - Article main page
Section 1. Introduction
Section 2. The extension
Section 3. The logistic transformation
Section 4. Some concluding remarks
Acknowledgements
References

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