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Sample size analysis for two-sample linear rank tests

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  • Doll, Monika
  • Klein, Ingo

Abstract

Sample size analysis is a key part of the planning phase of any research. So far, however, limited literature focusses on sample size analysis methods for two-sample linear rank tests, although these methods have optimal properties at different distributions. This paper provides a new sample size analysis method for linear rank tests for location shift alternatives based on score generating functions. Results show a slightly anti-conservative behavior, no severe risk of an occuring circular argument at small to moderate variances of the population's distribution, and good performance compared to alternate sample size analysis methods for the most well-known linear rank test, the Wilcoxon-Mann-Whitney test.

Suggested Citation

  • Doll, Monika & Klein, Ingo, 2018. "Sample size analysis for two-sample linear rank tests," FAU Discussion Papers in Economics 05/2018, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    • Handle: RePEc:zbw:iwqwdp:052018
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    References listed on IDEAS

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    1. Jiin-Huarng Guo, 2012. "Optimal sample size planning for the Wilcoxon--Mann--Whitney and van Elteren tests under cost constraints," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(10), pages 2153-2164, June.
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      Keywords

      Sample Size Analysis; Linear Rank Test; Score Generating Function; Circular Argument;
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