Module 11

Question 1

How many pairwise comparisons are possible with 7 subgroups?
A) 7
B) 14
C) 21
D) 49

Answer 1

C) 21

Question 2

One-way ANOVA can be considered an extension of:
A) t test of H₀: μ₁ - μ₂ = 0 (independent groups)
B) Test for homogeneity of variance
C) Simple randomized design
D) Simple ANOVA

Answer 2

A) t test of H₀: μ₁ - μ₂ = 0 (independent groups)

Question 3

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

Answer 3

D) Either (B) or (C) above is true

Question 4

One-way ANOVA is applicable when there are:
A) Any number of independent subgroups
B) No more than five independent subgroups
C) Any number of matched subgroups
D) No more than five matched subgroups

Answer 4

A) Any number of independent subgroups

Question 5

If the treatment has no effect, we would expect:
A) Group population means to vary
B) Group sample means to be equal
C) Subgroup sample means to vary
D) None of the above

Answer 5

C) Subgroup sample means to vary

Question 6

When H₀ 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)

Answer 6

A) Inherent variation

Question 7

Variability of scores about their subgroup means affords an indication of:
A) Inherent variation
B) Variation attributable to treatment effect, when present
C) A combination of (A) and (B)
D) Bone of the above

Answer 7

A) Inherent variation

Question 8

Individuals treated the same way still differ in performance.  This is referred to as:
A) Inherent variation
B) Between-group variation
C) Differential treatment effects.
D) Mean square

Answer 8

A) Inherent variation

Question 9

Variability of subgroup means about the mean of the combined distribution affords an indication of
A) Inherent variation
B) Variation attributable to treatment effect, when present
C) A combination of (A) and (B)
D) None of the above

Answer 9

C) A combination of (A) and (B)

Question 10

If we divide a sum of squares by the associated degrees of freedom, we have:
A) Inherent variation
B) A variance estimate
C) Within-groups variation
D) Population variance

Answer 10

B) A variance estimate

Question 11

The denominator of any variance estimate consists of:
A) Inherent variation
B) Sums of squared deviations
C) Within-groups variation
D) Degrees of freedom

Answer 11

D) Degrees of freedom

Question 12

The use of the single symbol σ² to represent inherent variance for all subgroups follows logically from:
A) The general form of a variance estimate
B) The mathematical properties associated with variance
C) The independence of inherent variation and differential treatment effects
D) The assumption of homogeneity of variance

Answer 12

D) The assumption of homogeneity of variance

Question 13

If there are three groups of 10 cases each, then df(within) = 
A) 30
B) 29
C) 13
D) 27

Answer 13

D) 27