15.63 Consider the two-way analysis of variance setup, with one observation per cell.

a. Show that the between-groups sum of squares can be written as follows:

SSG = H a K

i=1 x2i

~ - nx2

b. Show that the between-blocks sum of squares can be written as follows:

SSB = K a H

j=1 x2~

j - nx2

c. Show that the total sum of squares can be written as follows:

SST = a K

i=1 a

H j=1 x2 ij - nx 2

d. Show that the error sum of squares can be written as follows:

SSE = a K

i=1 a

H j=1 x2 ij - H a K

i=1 x2i

~ - K a H

j=1 x2~

j + nx2