TWO WAY ANOVA (WITH/WITHOUT INTERACTION) SAS
Two way ANOVA: Here, null hypothesis says that the sample means are not significantly different, the difference in their means occurs due to unexplained variability or simply by random chance. Now, in two way ANOVA there are two predictors (categorical) and one response (continuous) variable. Two way ANOVA models are built either by interaction effect of predictors or by individualistic effect of predictors on response variable. The most significant parameter is F ratio, it test the significance of model and considered as significance ratio of two variances. The higher the value of F ratio the more the significant the model is which inadvertently states there is significant difference between sample means (at least one sample mean differs from other sample means). Remember, it is parametric test, when we don't know the sample distribution or distribution of population from which sample is collected, it's better to test hypothesis using non-parametric test (chi-squared test
