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Quick and Simple Tests Based on Extreme Observations

Summary: This is a survey of a number of quick and simple distribution-free tests (quick to execute and simple to understand) that have been developed over the last thirty years to solve a variety of problems. The typical test statistic consists of counting the number of observations in one sample that exceed the maximum value in one or more than samples - and this is surely a much more rapid type of calculation than is possible with most other test statistics. Furthermore, in many cases special tables of critical values are either not needed or need be only very brief, as the critical values tend to stay essentially unchanged over wide ranges of sample sizes. Tests are presented for two-sample location and dispersion problems, multi-sample slippage problems of various types, and for testing the presence of correlation.

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  • Topics:
  • Keywords: Distribution-free procedures,Statistical tests,Nonparametric methods,Testing
  • Author: Neave, Henry R.
  • Journal: Journal of Quality Technology