F tests with random sample sizes. Theory and applications

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

http://hdl.handle.net/10362/75684

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Autores

Moreira, Elsa E.

Mexia, João T.

Minder, Christoph E.

Resumo(s)

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.