Overview of Friedman’s Test and Post-hoc Analysis
- 7 April 2014
- journal article
- research article
- Published by Taylor & Francis Ltd in Communications in Statistics - Simulation and Computation
- Vol. 44 (10), 2636-2653
- https://doi.org/10.1080/03610918.2014.931971
Abstract
When the null hypothesis of Friedman’s test is rejected, there is a wide variety of multiple comparisons that can be used to determine which treatments differ from each other. We will discuss the contexts where different multiple comparisons should be applied, when the population follows some discrete distributions commonly used to model count data in biological and ecological fields. Our simulation study shows that sign test is very conservative. Fisher’s LSD and Tukey’s HSD tests computed with ranks are the most liberal. Theoretical considerations are illustrated with data of the Azores Buzzard (Buteo buteo rothschildi) population from Azores, Portugal.Keywords
This publication has 20 references indexed in Scilit:
- The Effects of Misconceptions on the Properties of Friedman's TestCommunications in Statistics - Simulation and Computation, 2013
- A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithmsSwarm and Evolutionary Computation, 2011
- Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of powerInformation Sciences, 2010
- Power and sample size when multiple endpoints are consideredPharmaceutical Statistics, 2007
- On optimality of stepdown and stepup multiple test proceduresThe Annals of Statistics, 2005
- A generalized step-up-down multiple test procedureThe Canadian Journal of Statistics / La Revue Canadienne de Statistique, 1998
- The Simes Method for Multiple Hypothesis Testing with Positively Dependent Test StatisticsJournal of the American Statistical Association, 1997
- Relative Power of the Wilcoxon Test, the Friedman Test, and Repeated-Measures ANOVA on RanksThe Journal of Experimental Education, 1993
- New Tables for Multiple Comparisons with a ControlBiometrics, 1964
- Multiple Comparisons among MeansJournal of the American Statistical Association, 1961