1. Tuesday, November 13
Analysis of Variance

6. Between-group variance estimate
F =
within-group variance estimate _
SST =  (X - X)2
SSB =  NG (XG - X)2
SSW =  (X1 - X1)2 +
 (X2 - X2)2 + ••••
 (Xk - Xk)2
SST = SSB + SSW _ _ _ _ _

7. Between-group variance estimate
F =
within-group variance estimate
MSB = SSB / dfB
MSW = SSW / dfW
where
dfB = k-1 (k = number of groups)
dfW = N - k

8. Protected t-test
t =
Xi - Xj
MSW ( 1/Ni + 1/Nj) _
Where df = N - k

9. dfB (F - 1)
 =
dfB F + dfW
Epison bears the same relationship to F that rpb bears to t.