Source Degrees of Freedom Sum of Squares Mean Square(Variance) F Among groups c1

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. FSTAT

Among gorups

8 600 75 1.2857 Within groups 9 525 58.33 Total 17 1125

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