The Fisher-Pitman Permutation Test When Testing for Differences in Mean and Variance
- 1 February 2004
- journal article
- research article
- Published by SAGE Publications in Psychological Reports
- Vol. 94 (1)
- https://doi.org/10.2466/pr0.94.1.189-194
Abstract
The Fisher-Pitman permutation test can detect any type of difference between two samples; hence, a significant Fisher-Pitman permutation test does not necessarily provide evidence for a difference in means. It is possible, however, to test separately for differences in means and variances. Here, we present a recently proposed two-stage procedure to decide whether there are differences in means or variances that can be applied when samples may come from nonnormal distributions with possibly unequal variances.Keywords
This publication has 22 references indexed in Scilit:
- The Fisher-Pitman Permutation Test: An Attractive Alternative to the F TestPsychological Reports, 2002
- Bootstrap calibration to improve the reliability of tests to compare sample means and variancesEnvironmetrics, 2001
- Randomization tests and the equality of variance assumption when comparing group meansAnimal Behaviour, 2000
- The Nonparametric Behrens-Fisher Problem: Asymptotic Theory and a Small-Sample ApproximationBiometrical Journal, 2000
- A Nonparametric Test for the General Two-Sample ProblemPublished by JSTOR ,1998
- A distribution-free rank-like test for scale with unequal population locationsCommunications in Statistics - Simulation and Computation, 1992
- The Fisher‐Pitman permutation test: A non‐robust alternative to the normal theory F test when variances are heterogeneousBritish Journal of Mathematical and Statistical Psychology, 1987
- Effect of tail weight and outliers on power and type-i error of robust permutation tests for locationCommunications in Statistics - Simulation and Computation, 1987
- A survey of two-sample location-scale problem, asymptotic relative efficiencies of some rank testsStatistica Neerlandica, 1982
- THE COMPARISON OF SAMPLES WITH POSSIBLY UNEQUAL VARIANCESAnnals of Eugenics, 1939