An experiment has a single factor with three groups and two values in each group

Question

An experiment has a single factor with three groups and two values in each group. In determining the among group variation there are 2 degrees of freedom. In determining the within group variation there are 3 degrees of freedom. In determine total variation there are 5 degrees of freedom. If ssa=42 and sst=63 what is ssw? What is msa? What is msw? What is the value of fstat? An experiment has a single factor with three groups and two values in each group. In determining the among group variation there are 2 degrees of freedom. In determining the within group variation there are 3 degrees of freedom. In determine total variation there are 5 degrees of freedom. If ssa=42 and sst=63 what is ssw? What is msa? What is msw? What is the value of fstat?

Explanation / Answer

dfa = 2

dfw = 3

SSa = 42

SSt = 63

SSw = SSt - SSa = 63 - 42 = 21

MSa = SSa / dfa = 42 / 2 = 21

MSw = SSw / dfw = 21 / 3 = 7

Fstat = MSa / MSw = 21 / 7 = 3

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