# Question

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.

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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