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Counting by weighing and its effect on comparing population proportions

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  • Nickerson, David M.

Abstract

Counting by weighing is a rapid procedure for obtaining N items (e.g., seeds) based on weight rather than exact counting. We show how to modify the test statistic used for comparing m population proportions (e.g., seed germination rates) when independent samples are taken using this approximate counting procedure. The modified test will have approximate size [alpha] as advertised under the null hypothesis that there is no difference among the m proportions. A simulation study is conducted to determine the small to moderate sample size Type I error rates of the classical and modified tests.

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  • Nickerson, David M., 2008. "Counting by weighing and its effect on comparing population proportions," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2321-2326, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:15:p:2321-2326
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    Cited by:

    1. W. Liu & Y. Han & F. Bretz & F. Wan & P. Yang, 2016. "Counting by weighing: know your numbers with confidence," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 65(4), pages 641-648, August.

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