Show that the mean for the jth level of the factor is η0 + αj, where By taking the mean of the level means show that η0 is the mean of the response ignoring the factor. Thus, we can interpret αj,...

Show that the mean for the jth level of the factor is η₀
+ α_j, where

By taking the mean of the level means show that η0 is the mean of the response ignoring the factor. Thus, we can interpret αj, the difference between the overall mean and the level mean, as the effect of level j, and