Question

25.13. In a two-factor ANOVA study with a 3, b 2, and n 5, the two factor effects are both α = 10.0, and σ:β = 6.0. Assume that ANOVA model 2 = 5.0, σ = 8.0, σ random with ơ (25.39) is applicable a. Obtain E(MSA), E (MSB, and E MSAB) b. What would be the expected mean squares if σ..-0, all other parameters remaining the same? Nalue deriveo ㄒㄧㄏㄧ一and compute it

Answer 1

Two-way Analysis of Variance Two factors a and b are analyzed in two way ANOVA model. Factor a is evaluated at 3 and b is at 2 levels. Number of levels of factor a a:-3 Number of levels of factor b b:-2 Number of values (replicates) for each cell(combination of a n' 5 particular level of factor a and a particular level of factor b Number of values in the entire experiment Random variation in two-way ANOVA SSE SSE: 5.0 Factor A Variation: SSA:-8.0

Factor A Variation: Interaction Variation: SSAB=Ơod Total variation in two-way ANOVA SST-SSA+SSB+SSAB+SSE=29 Degrees of Freedom SSB : 10.0 SSAB: 6.0 dfAB (a-1).(b-1)-2 dfT- (n- 1) 29

Mean squares in two-way ANOVA SSA MSB10 dfA MSAB SSAB dfAB dfB SSE dfSE MISE- 0.2083