Suppose that scores given by judges to competitors in the ski-jumping events of the Winter Olympics were analyzed. For the men's ski-jumping competition, suppose there were 22 contestants and 9 judges. Each judge in seven subevents assessed each contestant. 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 following table:
Source of Variation Sum of Squares
Between contestants ......... 364.50
Between judges ..........0.81
Interaction ............4.94
Error .............. 1,069.94
a. Complete the analysis of variance table.
b. Carry out the associated F tests and interpret your findings.