Tukey's Test for Unequall Sample Sizes

When the samples are not equal or not having same size, Then the Tuky's Test is not applicable. Spotvoll and Stoline have extended Tukey Procedure to the case where the sample sizes are different.Their Procedure , which is applicable for experiments involving three or more treatments and significance levels of 0.05 or less, consists of replacing n in the following equation;

the smallest of the two sample sizes associated with the two sample means that are to be compared. If we designate the new quantity by HSD, we have as the new test criterion