1. Wednesday, November 30
Analysis of Variance

2. The Analysis of Variance
Wednesday, November 30
The Analysis of Variance

3. The Analysis of Variance
Wednesday, November 30
The Analysis of Variance
ANOVA

4. Corn!

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

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

8. Fisher’s Protected t-test
Xi - Xj
MSW ( 1/Ni + 1/Nj) _
Where df = N - k