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Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of...

Part of an ANOVA table is shown below.

Source of
Variation

Sum of
Squares

Degrees
of Freedom

Mean
Square

F
Between Treatments

64

8
Within Treatments (Error)

2
Total

100

​

The number of degrees of freedom corresponding to between-treatments is

a.

3.
b.

4.
c.

2.
d.

18.
math   Statistics-And-Probability   
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Answer #1

Given

Mean square within = MSSW = 2

F = 8

SS Between =SSB = 64

We know that

F = MSSB/MSSW

8 = MSSB/2

MSSB = mean square between = 16

We also know that

MSSB = SSB / DF OF SSB

We already find the value of MSSB

16 = 64/DF

DF OF BETWEEN TREATMENT = 64/16

DF OF BETWEEN TREATMENT = 4

Hence option (b) is correct.

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