Show that in the sigma-constrained three-way ANOVA model, the null hypothesis is equivalent to the hypothesis given in Equation 8.16 on page 179. (Hint: See Exercise 8.3.) The geometry of effects in...

Show that in the sigma-constrained three-way ANOVA model, the null hypothesis

is equivalent to the hypothesis given in Equation 8.16 on page 179. (Hint: See Exercise 8.3.)

The geometry of effects in three-way ANOVA: Contrived parameter values for a three-way ANOVA model (each set satisfying the sigma constraints) are given in the following tables: