Wednesday, November 30 Analysis of Variance
The Analysis of Variance Wednesday, November 30 The Analysis of Variance
The Analysis of Variance Wednesday, November 30 The Analysis of Variance ANOVA
Corn!
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 _ _ _ _ _
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
Fisher’s Protected t-test Xi - Xj MSW ( 1/Ni + 1/Nj) _ Where df = N - k