passages.id: split_4_test_529_passage
passages.type: progene_text
passages.text: Methods for optimal sample size determination are developed using four popular multiple comparison procedures ( Scheffe 's , Bonferroni 's , Tukey's and Dunnett 's procedures ) , where random samples of the same size n are to be selected from k ( > / = 2 ) normal populations with common variance sigma2 , and where primary interest concerns inferences about a family of L linear contrasts among the k population means .