An experiment has a single factor with six groups and two values in each group. In determining the​ among-group variation, there are 5 degrees of freedom. In determining the​ within-group variation, there are 6 degrees of freedom. In determining the total​ variation, there are 11 degrees of freedom.   a. If SSA=160 and SST=208​, what is​ SSW? b. What is​ MSA? c. What is​ MSW? d. What is the value of FSTAT​?

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An experiment has a single factor with six groups and two values in each group. In determining the​ among-group variation, there are 5 degrees of freedom. In determining the​ within-group variation, there are 6 degrees of freedom. In determining the total​ variation, there are 11 degrees of freedom.
 
a. If SSA=160 and SST=208​, what is​ SSW?
b. What is​ MSA?
c. What is​ MSW?
d. What is the value of FSTAT​?
Expert Solution
Step 1

Given SSA=160 and SST=208, k=5 , N =11

(a) SST = SSA + SSW

      SSW = SST - SSA

              = 208-160

              = 48

 

(b) MSA = SSAk-1 

              = 2085-1 = 52

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