The Type I error and power properties of the 2x2x2 analysis of variance (ANOVA) and tests developed by McSweeney (1967), Bradley (1979), Harwell-Serlin (1989; Harwell, 1991), and Blair-Sawilowsky (1990) were compared using Monte Carlo methods. The ANOVA was superior under the Gaussian and uniform distributions. The Blair-Sawilowsky test was superior under the exponential and t-test distributions. The Bradley test was robust. The McSweeney test was conservative under several conditions. The Harwell-Serlin test was both conservative and anti-conservative under various conditions. Seven tables and six figures are included. (Contains 13 references.) (Author/SLD)