Teaching rank-based tests by emphasizing structural similarities to corresponding parametric tests

De Wayne R. Derryberry, Sue B. Schou, W. J. Conove

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Students learn to examine the distributional assumptions implicit in the usual t-tests and associated confidence intervals, but are rarely shown what to do when those assumptions are grossly violated. Three data sets are presented. Each data set involves a different distributional anomaly and each illustrates the use of a different nonparametric test. The problems illustrated are well-known, but the formulations of the nonparametric tests given here are different from the large sample formulas usually presented. We restructure the common rank-based tests to emphasize structural similarities between large sample rank-based tests and their parametric analogs. By presenting large sample nonparametric tests as slight extensions of their parametric counterparts, it is hoped that nonparametric methods receive a wider audience.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of Statistics Education
Volume18
Issue number1
DOIs
StatePublished - Mar 2010

Keywords

  • Hypothesis test
  • Nonparametric test
  • Outliers
  • Pedagogy
  • Skewness

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