F tests with random sample sizes. Theory and applications

Elsa E. Moreira; João T. Mexia; Christoph E. Minder

doi:10.1016/j.spl.2013.02.020

F tests with random sample sizes. Theory and applications

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

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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.

Original language	English
Pages (from-to)	1520-1526
Number of pages	7
Journal	Statistics and Probability Letters
Volume	83
Issue number	6
DOIs	https://doi.org/10.1016/j.spl.2013.02.020
Publication status	Published - 1 Jun 2013

Keywords

ANOVA
F distribution
Pathologies comparison
Poisson distribution
Power analysis

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F tests with random samples sizeAccepted author manuscript, 146 KBLicence: CC BY-NC-ND

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author = "Moreira, {Elsa E.} and Mexia, {Jo{\~a}o T.} and Minder, {Christoph E.}",

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AU - Minder, Christoph E.

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KW - F distribution

KW - Pathologies comparison

KW - Poisson distribution

KW - Power analysis

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ER -

F tests with random sample sizes. Theory and applications

Abstract

Keywords

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