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August 1, 1981The American Statistician3,612 citations

Rank Transformations as a Bridge between Parametric and Nonparametric Statistics

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WCW. J. ConoverRIRonald L. Iman

Key Points

  • Rank transformation procedures offer a bridge between parametric and nonparametric statistics, enhancing analysis.
  • These techniques allow the application of parametric methods to ranks, improving nonparametric problem-solving.
  • A unified approach can simplify statistical analysis and help in developing new nonparametric methods effectively in various scenarios for testing hypotheses and analyzing data sets without normal distribution assumptions or large sample sizes that parametric tests usually require, thereby expanding flexibility and applicability across numerous fields and conditions.

Abstract

Abstract Many of the more useful and powerful nonparametric procedures may be presented in a unified manner by treating them as rank transformation procedures. Rank transformation procedures are ones in which the usual parametric procedure is applied to the ranks of the data instead of to the data themselves. This technique should be viewed as a useful tool for developing nonparametric procedures to solve new problems.

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Cite This Study

Conover et al. (1981) studied this question.

synapsesocial.com/papers/690e5f9b86de104c2a6f51e4https://doi.org/10.1080/00031305.1981.10479327
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