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In a two-factor ANOVA, one can perform three separate tests. These tests share t

ID: 3275854 • Letter: I

Question

In a two-factor ANOVA, one can perform three separate tests. These tests share the same numerator degree of freedom. True False In a two-factor ANOVA, there are 5 levels in factor A and 4 levels in factor B (B1 and B2) and 5 observations in each combination. What is the F-critical value when testing factor B at 2.5% significance level? 2.49 2.72 2.95 3.28 In a two-factor ANOVA, there are 5 levels in factor A and 4 levels in factor B (B1 and B2) and 5 observations in each combination. What is the F-critical value when testing factor A at 2.5% significance level? 2.49 2.73 2.95 3.28

Explanation / Answer

1) In a two-factor ANOVA, one can perform three separate tests. These tests share the same numerator degree of freedom ---- false ( degree of freedom of denominator is same)

2)In a two-factor ANOVA, there are 5 levels in factor A and 4 levels in factor B (B1 and B2) and 5 observations in each combination. What is the F-critical value when testing factor B at 2.5% significance level? -

degree of freedom for error =n-kb =100-5*4=80 and that for factor B =4-1 =3

therefore F critical at (3,80) degree of freedom and 2.5% level =3.28

3)In a two-factor ANOVA, there are 5 levels in factor A and 4 levels in factor B (B1 and B2) and 5 observations in each combination. What is the F-critical value when testing factor A at 2.5% significance level

degree of freedom for error =n-kb =100-5*4=80 and that for factor B =5-1 =4

therefore F critical at (4,80) degree of freedom and 2.5% level =2.95

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