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CHAPTER 14 SECTION 5: ANALYSIS OF VARIANCE
MULTIPLE CHOICE
128.
A complete 3
×
2 factorial experiment is called balanced if:
a.
data is collected at all three levels of factor A.
b.
data is collected at both levels of factor B.
c.
the number of replicates is the same for each of the 6 treatments.
d.
None of these choices.
ANS: C
PTS:
1
REF:
SECTION 14.5
129.
In the twofactor ANOVA where
a
is the number of factor A levels,
b
is the number of factor B levels,
and
r
is the number of replicates, the number of degrees of freedom for interaction is:
a.
(
a

1)(
b

1)
b.
abr

1
c.
(
a

1)(
r

1)
d.
n

ab
ANS: A
PTS:
1
REF:
SECTION 14.5
130.
In a twofactor ANOVA, where
a
is the number of factor A levels and
b
is the number of factor B
levels, the number of degrees of freedom for the interaction term is
a.
(
a

1)(
b

1)
b.
ab

1
c.
(
a

1)
+
(
b

1)
d.
Unknown; need to know the number of replicates.
ANS: A
PTS:
1
REF:
SECTION 14.5
131.
In the twofactor ANOVA where
a
is the number of factor A levels,
b
is the number of factor B levels,
r
is the number of replicates, and
n
is the total number of observations, the number of degrees of freedom
for error is:
a.
(
a

1)(
b

1)
b.
abr

1
c.
r
(
a

1)(
b

1)
d.
n

ab
ANS: D
PTS:
1
REF:
SECTION 14.5
132.
The equation: SS(Total) = SS(A) + SS(B) + SS(AB) + SSE applies to which ANOVA model?
a.
Oneway ANOVA with 2 treatments.
b.
Twofactor ANOVA with interaction.
c.
Twofactor ANOVA with no interaction.
d.
None of these choices.
ANS: B
PTS:
1
REF:
SECTION 14.5
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133.
When the effect of a level for one factor depends on which level of another factor is present, the most
appropriate ANOVA design to use in this situation is the:
a.
Oneway ANOVA with 2 treatments.
b.
Twofactor ANOVA with interaction.
c.
Twofactor ANOVA with no interaction.
d.
None of these choices.
ANS: B
PTS:
1
REF:
SECTION 14.5
134.
In a twofactor ANOVA, there are 4 levels for factor A, 5 levels for factor B, and 3 observations for
each combination of factor A and factor B levels. The number of treatments in this experiment equals:
a.
60
b.
25
c.
20
d.
16
ANS: C
PTS:
1
REF:
SECTION 14.5
135.
In a twofactor ANOVA, there are 4 levels for factor A, 5 levels for factor B, and 3 observations for
each combination of factor A and factor B levels. The total number of observations in this experiment
equals:
a.
60
b.
25
c.
20
d.
16
ANS: A
PTS:
1
REF:
SECTION 14.5
TRUE/FALSE
136.
A balanced experiment requires that the sample size for each treatment be equal.
ANS: T
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 Spring '10
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