A study on exact distributions of the Kao and Chakraborti's statistics for comparing treatments with a control in a randomized complete block design

Abstract

In this study, the exact distributions of the Kao and Chakraborti's Statistics for comparing treatments with a control in a randomized complete block design are obtained. Some exact critical values found from this distribution are also given. A great many differences for this statistics have been found between the cumulative probability values by the usual approach proposed by Kao and Chakraborti and those of the exact distributions, even when the sample size is inadequate.