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Contents ANOVA Two-Way ANOVA Analysis of variance Analysis of variance(ANOVA) is a statistical method that tests the null hypothesis that all groups have the same mean by comparing the variation within and between groups in two or more groups. The tests for two groups have applied a normal or t distribution, but to compare more groups, use an F distribution that compares the degree of variability between groups. The data for ANOVA consist of the nominal variables ( factors ) that are being compared and the values for each factor, i.e., response variable. Each factor can be classified into several sub-groups and the factors in this group are called treatment (factor levels. The analysis of a single response corresponding to the factor level is called one-way ANOVA A} (anova), or multiple responses are called manova Multivariate analysis is beyond the scope of this book, but one-way and two-way variance analysis can be the foundation for that analysis. The null hyp...