For each of the following find the missing value a dfB 4 df

For each of the following, find the missing value: a dfB = 4, dfW = 45, dfT =? b SST = 100, SSB = 55, SSW =? c MSW = 10, dfW = 3, SSW =? d F = 6.8, MSW = 2, MSB =?

Solution

a. dfB = 4, dfW = 45, dfT = ?
Degrees of freedom Total F( 4,45) at 0.05 is = F Crit = 3.885

b. SST = 100, SSB = 55, SSW = ?

SS Within = SST - SS Between = 100 - 55 = 45

c. MSW = 10, dfW = 3, SSW = ?

Mean Square Within = SS Within / df Within => SS W = 10*3 = 30

d. F = 6.8, MSW = 2, MSB = ?
F Cal = MS Between / Ms Within => MS Between = 6.8 * 2 = 13.6