1. Wednesday, Nov. 28 Analysis of Variance

2. Wednesday, Nov. 28 The Analysis of Variance

3. Wednesday, Nov. 28 The Analysis of Variance ANOVA

8. F = Between-group variance estimate within-group variance estimate SS T =  (X - X G ) 2 SS B =  N i (X i - X G ) 2 SS W =  (X 1 - X 1 ) 2 +  (X 2 - X 2 ) 2 +  (X k - X k ) 2 SS T = SS B + SS W _ __ _ _ _

9. F = Between-group variance estimate within-group variance estimate MS B = SS B / df B MS W = SS W / df W where df B = k-1 (k = number of groups) df W = N - k

10. Fisher’s Protected t-test t = X i - X j MS W ( 1/N i + 1/N j ) __ Where df = N - k

11. Est ω = df B (F - 1) df B F + df W Est ω bears the same relationship to F that r pb bears to t.