Year: 2019 Vol.: 68 No.: 2
Authors: Mara Sherlin D. Talento, Marcus Jude P. San Pedro and Erniel B. Barrios
Abstract:
Multivariate Analysis of Variance (MANOVA) is fairly robust to the normality and constant variance assumptions provided that the data is generated from a balanced design. Issues with hypothesistesting arises when error-distribution is non-normal or when the data is generated from an unbalanced design. We propose a nonparametric method of testing interaction effect of the twofactor factorial design with multivariate response and possibly highly unbalanced replicates. Simulation studies indicated that the test is correctly-sized and increasing power with increasing effect-size, and increasing sample size. The parametric test based on MANOVA is incorrectl
Keywords: two-factor factorial design, unbalanced replicates, nonparametric, multivariate data, Poisson and Normal data