I am trying to address if the treatments, fungicide type (X1) and fungus batch (X2), affect the average number of spores (Y). The experimental design is a 2x2 factorial with 4 replicates per treatment combination. The analysis of the residuals do not meet the ANOVA assumptions. In particular, I am concerned that the residuals do not appear normally distributed and have unequal variances, therefore invalidating the conclusions of statistical significance of the treatments. Transforming the data does not ‘normalize’ the residuals either. Therefore, I am interested in applying any distributions (such as Gamma) that Generalized Regression personality in JMP offers.
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