11.1 A beauty contest has eight contestants. Two judges are each asked to rank the contestants in a preferential order of pulchritude. Answer parts

(a) and

(b) using (1) the Kendall tau-coefficient procedures and

(2) the Spearman rank-correlation-coefficient procedures.

Contestant Judge A B C D E F G H 1 2 1 3 5 4 8 7 6 2 1 2 4 5 7 6 8 3

(a) Calculate the measure of association.

(b) Test the null hypothesis that the judges ranked the contestants independently and find the P value.

(c) Find a 95% confidence interval estimate of t.