The Professional Golfers' Association (PGA)wants to know which brand of golf ball goes the farthest when hit by a driver.Three brands of golf balls are compared by using "Iron Byron" to randomly hit each brand of ball five times.The total distance in yards is measured after each ball comes to rest.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Question

Quizplus · Accepted Answer

The degrees of freedom for the treatment sum of squares (df-treatment) is calculated as the number of groups minus one. Since there are three brands of golf balls, df-treatment = 3 - 1 = 2. The degrees of freedom for the error sum of squares (df-error) is calculated as the total number of observations minus the number of groups. With three brands and five shots each, there are 15 observations in total, so df-error = 15 - 3 = 12.

The Professional Golfers' Association (PGA)wants to Know Which Brand of Golf