Nonparametric Two-way ANOVA Used For Block Designs with Unequal Numbers of Multiple Observations

The Mack-Skillings statistical test is a nonparametric two-way ANOVA used for unbalanced incomplete block designs, when the number of observations in each treatment/block pair is one or greater. The test is equivalent to the Friedman test when the observations are balanced.

Syntax: [p stats] = mackskill(response, treatments, blocks) [p stats] = mackskill(M, reps)

Example: load popcorn friedman(popcorn,3) mackskill(popcorn,3) popcorn(5) = NaN; mackskill(popcorn,3)

Mack, G. A., & Skillings, J. H. (1980). A Friedman-Type Rank Test for Main Effects in a 2-Factor Anova. Journal of the American Statistical Association, 75(372), 947-951. Hollander, M., & Wolfe, D. A. (1999). Nonparametric statistical methods (2nd ed.). New York: Wiley.