Question

1. In one-way ANOVA, involving three groups, the alternative hypothesis would be considered correct if, in the population,

a. all means were equal

b. two means are equal but the third is different

c. all three means have different values

d. either (b) or (c) above is true

QUESTION 2 When Null is true for a one-way ANOVA, variation of the group means is a reflection of

a. inherent variation

b. differential treatment effects

c. nondifferential treatment effects

d. a combination of (a) and (b)

QUESTION 3 . Variability of subgroup means about the mean of the combined distribution affords an indication of

a. inherent variation

b. variation attributable to treatment, when present

c. a combination of (a) and (b)

d. none of the above

QUESTION 4 The denominator of any variance estimate consists of

a. inherent variation

b. within group variation

c. degrees of freedom

d. sums of squared deviations

QUESTION 5 If there are three groups of 10 cases each, then dfwithin = a. 29 b. 13 c. 27 d.

QUESTION 6 In a one-way ANOVA, the following results are obtained: SSbetween = 83.7 and SStotal = 102.6. Therefore, SSwithin

= a. 186.3

b. 18.9

c. 51.3

d. none of the above

QUESTION 7 The following are the scores from two groups of two cases each: • Group 1: 2, 4 • Group 2: 4, 6

SSwithin = a. 8 b. 4 c. 6 d. 3

QUESTION 8 The following are the scores from two groups of two cases each: • Group 1: 2, 4 • Group 2: 4, 6 SStotal = a. 6

b. 3

c. 4

d. 8

QUESTION 9 1. If SStotal = 400 and SSbetween = 250, then SSwithin is

a. 650

b. k - 1

c. n - k

d. 150

QUESTION 10 A one-way ANOVA has been performed and a significant F obtained. At this point we may wish to continue the statistical analysis using a

a. modified between-groups estimate

b. t test for independent means

c. factorial design

d. HSD test

Answer #1

1. In one-way ANOVA, involving three groups, the alternative hypothesis would be considered correct if, in the population, either two means are equal but the third is different or all three means have different values

**Hence option D either (b) or (c) above is true is
correct**

2 When Null is true for a one-way ANOVA, variation of the group means is a reflection of differential treatment effects

**Hence option B is correct**

3. Variability of subgroup means about the mean of the combined distribution affords an indication of variation attributable to treatment, when present

**Hence option B is correct**

4 The denominator of any variance estimate consists of n-1 i.e., Degree of freedom

**Hence option C is correct**

5 If there are three groups of 10 cases each, then dfwithin =

DF Within = n-k

Here k=3

n= 10+10+10 = 30

DF Within = 30-3 = 27

DF Within = 27

**Hence option C is Correct**

**6.** In a one-way ANOVA, the following results
are obtained: SSbetween = 83.7 and SStotal = 102.6. Therefore,
SSwithin

SSwithin = SS total - SS between

SSwithin = 102.6 - 83.7 = 18.9

**Hence option B is Correct**

7. The following are the scores from two groups of two cases each:

Group 1: 2, 4

Group 2: 4, 6

SS total = 8

SS among = 4

SS within = SS total -SS among = 8-4 = 4

SS within = 4

**Hence Option C is correct**

8. SS Total = 8

**Hence option D is Correct**

**9.** If SStotal = 400 and SSbetween = 250, then
SSwithin is

SS within = SS total -SS among = 400-250 =150

SS within = 150

**Hence option D is correct**

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