(a) Assume that r = c in a contingency table and that Xii = ni for i = 1, 2, ••• , r, while X.. = 0 for if j. Defining 2 iJ n = n., show that X = (r - l)n. i 2 (b) The value (r - l)n is the maximum...

(a) Assume that r = c in a contingency table and that Xii = ni

for i = 1, 2, ••• , r, while X.. = 0 for if j. Defining 2 iJ n = n., show that X = (r - l)n. i 2

(b) The value (r - l)n is the maximum value of X in a r x r

contingency table with E: 1x. Er X . = n. Explain in i= i• a.=l "J

words why this is reasonable.