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?
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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 =
= = 52
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