In a two-factor ANOVA, there are 5 levels in factor A and 4 levels in factor B and 5 observations in each combination. What is the F-critical value when testing factor B at 2.5% significance level?

2.1115

Step-by-step explanation:

Significance level α = 2.5/100 = 0.025

degree of freedom for factor A = 4 (5-1)

degree of freedom for factor B=3 (4-1)

degree of freedom for interaction = degree of freedom for factor A x degree of freedom for factor B = 4 x 3 = 12

total degree of freedom = (5 x 4 x 5) - 1 = 99

error degree of freedom = 99 - (4+3+12)

= 80

F-critical value = F₀.₀₂₅, ₁₂, ₈₀

= 2.1115