An experiment has a single factor with five groups and two v

An experiment has a single factor with five groups and two values in each group. In determining the among-group variation, there are 4 degrees of freedom. In determining the within-group variation, there are 5 degrees of freedom. In determining the total variation, there are 9 degrees of freedom. a. If SSA = 140 and SST = 175, what is SSW? b. What is MSA? c. What is MSW? d. What is the value of F STAT? a. SSW = (Type an integer or a decimal.) b. MSA = (Type an integer or a decimal.) c. MSW = (Type an integer or a decimal.) d. FSTAT = (Type an integer or a decimal.)

Solution

SST = SSW+ SSA

SSW= SST - SSA = 175-140 =35

b)

MSA = SSA/dfA = 140/4 = 35

c)

MSW = SSW/dfW = 175/5 = 35

d)

Fstat = MSA/MSW = 35/35 = 1