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Test statistics for comparing two proportions with partially overlapping samples

Derrick, Ben; Dobson-Mckittrick, Anselma; Toher, Deirdre; White, Paul

Authors

Anselma Dobson-Mckittrick

Deirdre Toher Deirdre.Toher@uwe.ac.uk
Acting AHOD Cluster Leaders Mathematics & Statistics

Paul White Paul.White@uwe.ac.uk
Associate Professor in Applied Statistics



Abstract

Standard tests for comparing two sample proportions of a dichotomous dependent variable where there is a combination of paired and unpaired samples are considered. Four new tests are introduced and compared against standard tests and an alternative proposal by Choi and Stablein (1982). The Type I error robustness is considered for each of the test statistics. The results show that Type I error robust tests that make use of all the available data are more powerful than Type I error robust tests that do not. The Type I error robustness and the power among tests introduced in this paper using the phi correlation coefficient is comparable to that of Choi and Stablein (1982). The use of the test statistics to form confidence intervals is considered. A general recommendation of the best test statistic for practical use is made.

Journal Article Type Article
Publication Date Sep 30, 2015
Journal Journal of Applied Quantitative Methods
Print ISSN 1842-4562
Peer Reviewed Peer Reviewed
Volume 10
Issue 3
Institution Citation Derrick, B., Dobson-Mckittrick, A., Toher, D., & White, P. (2015). Test statistics for comparing two proportions with partially overlapping samples
Keywords partially overlapping samples, partially matched pairs, partially correlated data, equality of proportions
Publisher URL http://www.jaqm.ro/issues/volume-10,issue-3/0_BEANDEPA.PHP

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