Test procedures for the analysis of experimental designs with correlated nonnormal data

Using Monte Carlo methods, an examination is made of two statistical methods used for hypothesis testing in a general factorial model with a known correlation structure General correlation structures are given in Smith and Lewis (1980) and Pavur and Lewis (1982) which allow the usual F statistic to be corrected by a constant. The corrected F statistic would be the usual F statistic multiplied by a correction constant. A comparison is made between this corrected f statistic and the rank transform F statistic presented by Conover and Iman (1976). When the usual F statistic and the rank transform statistic are corrected for correlationt this simulation study shows that these statistical tests behave well under a variety of situations when not all f the usual assumptions of an ANOVA are satisfied.