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Tuesday, November 12 Analysis of Variance

Tuesday, November 12 Analysis of Variance. Tuesday, November 12 The Analysis of Variance. Tuesday, November 12 The Analysis of Variance. ANOVA. Between-group variance estimate. F =. within-group variance estimate. _. SS T =  (X - X) 2 SS B =  N G (X G - X) 2

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Tuesday, November 12 Analysis of Variance

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  1. Tuesday, November 12 Analysis of Variance

  2. Tuesday, November 12 The Analysis of Variance

  3. Tuesday, November 12 The Analysis of Variance ANOVA

  4. 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 _ _ _ _ _

  5. 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

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

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

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