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F tests with random sample sizes. Theory and applications

Author

Listed:
  • Moreira, Elsa E.
  • Mexia, João T.
  • Minder, Christoph E.

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.

Suggested Citation

  • Moreira, Elsa E. & Mexia, João T. & Minder, Christoph E., 2013. "F tests with random sample sizes. Theory and applications," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1520-1526.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:6:p:1520-1526
    DOI: 10.1016/j.spl.2013.02.020
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    References listed on IDEAS

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    1. Mexia, Joao Tiago, 1990. "Best linear unbiased estimates, duality of F tests and the Scheffe multiple comparison method in the presence of controlled heteroscedasticity," Computational Statistics & Data Analysis, Elsevier, vol. 10(3), pages 271-281, December.
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