If the mean and variance are computed for each sample in an

If the mean and variance are computed for each sample in an independent-measures two-factor experiment, then which of the following types of sample data will tend to produce large F-ratios for the two-factor ANOVA?

a.3, 36

b.6, 36

c.4, 36

d.2, 36

Solution

The critical values of F for probability are :

F(3,36) = 2.87

F(6,36) = 2.36

F( 4,36) = 2.63

F(2,36) = 3.26

Here we can see that (2,36) has greater value than others. Hence smaller the degrees of freedom in numerator larger the F ratio.

Hence the correct option is d. 2,36