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

Question

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

4. Refer to Exhibit 1-1. The number of degrees of freedom corresponding to between treatments is a. 18 b. 2 c. 4 d. 3

5. Refer to Exhibit 1-1. The number of degrees of freedom corresponding to within treatments is a. 22 b. 4 c. 5 d. 18

6. Refer to Exhibit 1-1. The mean square between treatments (MSTR) is a. 36 b. 16 c. 64 d. 15

Source of Variation

Sum of

Squares

Degrees of

Freedom

Mean

Square

F

Between Treatments

  64

8

Within Treatments (Error)

2

Total

100

Explanation / Answer

4.) Mean square within = SS within/df

Therefore, df = (100 - 64)/ 2 = 18

5.) F = MS between/ MS within

Therefore MS between = 8*2/= 16

df between = SS between/ MS between = 64/16 = 4

6.) MS between = 16

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