Analysis of variance by randomization with small data sets

✍ Scribed by Liliana Gonzalez; Bryan F. J. Manly

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 132 KB
• Volume: 9
• Category: Article
• ISSN: 1180-4009
• DOI: 10.1002/(sici)1099-095x(199801/02)9:1<53::aid-env285>3.0.co;2-#

✦ Synopsis

A simulation study has been carried out to compare the results from using dierent randomization methods to assess the signi®cance of the F-statistics for factor eects with analysis of variance. Two-way and threeway designs with and without replication were considered, with the randomization of observations, the restricted randomization of observations, and the randomization of dierent 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.