Source Degrees of Freedom Sum of Squares Mean Square(Variance) F Among groups c1
ID: 2934288 • Letter: S
Question
Source
Degrees of Freedom
Sum of Squares
Mean Square(Variance)
F
Among groups
c1=?
SSA=?
MSA=75
Upper F STAT=?
Within groups
nc=?
SSW=525
MSW=?
Total
n1=?
SST=?
Complete the ANOVA summary table
Consider an experiment with nine groups, with two values in each. For the ANOVA summary table shown to the right, fill in all the missing results.Source
Degrees of Freedom
Sum of Squares
Mean Square(Variance)
F
Among groups
c1=?
SSA=?
MSA=75
Upper F STAT=?
Within groups
nc=?
SSW=525
MSW=?
Total
n1=?
SST=?
Explanation / Answer
Here, c= 9
And n = 18
Therefore, d.f among group = c-1 = 9-1 = 8
d.f Total = 18-1 = 17
And d.f within group = 17-8 = 9
We know, MSA = SSA/df
=> SSA = MSA× df = 75×8 = 600
And, MSW = SSW/df = 525/9 = 58.33
SST = SSW + SST = 525+600 = 1125.
Also, FSTAT = MSA/MSW = 75/ 58.33 = 1.2857.
Among gorups
Source d.f. s.s. M.s. FSTATAmong gorups
8 600 75 1.2857 Within groups 9 525 58.33 Total 17 1125Related Questions
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