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18 July, 07:07

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?

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  1. 18 July, 07:31
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    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
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