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.
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.
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