Consider a two-way cross-classified model given by (a) Give the ANOVA table and compute the expected mean squares. (b) Show that the mean squares in the ANOVA table are independent of each other and,...

(a) Give the ANOVA table and compute the expected mean squares.

(b) Show that the mean squares in the ANOVA table are independent of each other and, when properly normalized, are distributed as chi-square random variables.

(c) Derive the standard errors of unbiased estimators of σ²
_α, σ²
_β, and σ²
given in equation 18.13.