The scores given by judges to competitors in the figure skating events of the 1980 Winter Olympics were analyzed. For the ladies' figure skating competition, there were twenty- two contestants and nine judges. Each contestant was assessed by each judge in seven subevents. The scores given can thus be treated in the framework of a two-way analysis of variance with 198 contestant-judge cells, seven observations per cell. The sums of squares are given in the table. SOURCE OF VARIATION Between contestants Between judges Interaction Error SUMS OF SQUARES 364.50 .81 4.94 1,069.94

(a) Complete the analysis of variance table.

(b) Carry out the associated F tests, and interpret your findings.