F tests with random sample sizes. Theory and applications

Elsa E. Moreira, João T. Mexia and Christoph E. Minder

Statistics & Probability Letters, 2013, vol. 83, issue 6, 1520-1526

Abstract: Given a fixed time span for collecting observations in a study comparing, for example, the pathologies of patients entering a hospital sequentially, it is advisable to consider the sample sizes of the ANOVA levels as random variables. Using this approach, more powerful tests are developed, leading to lower critical values. The approach is used to obtain the minimum duration of data collection to ensure a pre-fixed power for the F test.

Keywords: ANOVA; F distribution; Pathologies comparison; Poisson distribution; Power analysis (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.02.020

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