What Are Assumptions Of Anova. ANOVA was developed by the statistician Ronald FisherANOVA is based on the law of total variance where the observed variance in a particular variable is partitioned into. The one-way ANOVA is considered a robust test against the normality assumption.
This means that it tolerates violations to its normality assumption rather well. A likely analysis for this is an ANOVA but this requires a couple of assumptions. An ANOVA requires 3 assumptions.
As regards the normality of group data the one-way ANOVA can tolerate data that is non-normal.
One-Way ANOVA 3 Section 3. This means that it tolerates violations to its normality assumption rather well. Ii Within each grouppopulation the response variable is normally distributed. The dependent variable must follow a normal distribution within each subpopulation.