High School

An experiment has a single factor with five groups and seven values in each group.

a. If SSA = 60 and SST = 210, what is SSW?
b. What is MSA?
c. What is MSW?
d. What is the value of F STAT?

Answer :

Final answer:

SSW is 150, MSA is 20, MSW is 5, and F statistic is 4.

Explanation:

To find SSW, we can subtract the sum of squares for the factor (SSA) from the sum of squares for the total (SST). So, SSW = SST - SSA. Plug in the given values: SSW = 210 - 60 = 150.

To find MSA, we divide SSA by its degrees of freedom (df). So, MSA = SSA / df = 60 / 3 = 20.

To find MSW, we divide SSW by its degrees of freedom (df). So, MSW = SSW / df = 150 / (5*7 - 5) = 150 / 30 = 5.

To find the F statistic, we divide MSA by MSW. So, F statistic = MSA / MSW = 20 / 5 = 4.

Learn more about One-way ANOVA here:

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