Analysis of variance by randomization with small data sets
Article first published online: 4 DEC 1998
Copyright © 1998 John Wiley & Sons, Ltd.
Special Issue: Statistical Methods for Environmental Sciences: Papers from the 1994 and 1995 Environmetics Conferences
Volume 9, Issue 1, pages 53–65, January/February 1998
How to Cite
Gonzalez, L. and Manly, B. F. J. (1998), Analysis of variance by randomization with small data sets. Environmetrics, 9: 53–65. doi: 10.1002/(SICI)1099-095X(199801/02)9:1<53::AID-ENV285>3.0.CO;2-#
- Issue published online: 4 DEC 1998
- Article first published online: 4 DEC 1998
- Manuscript Revised: 13 JUN 1997
- Manuscript Received: 29 DEC 1995
- analysis of variance;
- computer intensive statistics;
- randomization inference
A simulation study has been carried out to compare the results from using different randomization methods to assess the significance of the F-statistics for factor effects with analysis of variance. Two-way and three-way designs with and without replication were considered, with the randomization of observations, the restricted randomization of observations, and the randomization of different types of residuals. Data from normal, uniform, exponential, and an empirical distribution were considered. It was found that usually all methods of randomization gave similar results, as did the use of the usual F-distribution tables, and that no method of analysis was clearly superior to the others under all conditions. © 1998 John Wiley & Sons, Ltd.