1
CHAPTER 14 SECTION 1: ANALYSIS OF VARIANCE
MULTIPLE CHOICE
1.
In oneway ANOVA, the amount of total variation that is unexplained is measured by the:
a.
sum of squares for treatments.
b.
sum of squares for error.
c.
total sum of squares.
d.
degrees of freedom.
ANS: B
PTS:
1
REF:
SECTION 14.1
2.
The test statistic of the singlefactor ANOVA equals:
a.
sum of squares for treatments / sum of squares for error.
b.
sum of squares for error / sum of squares for treatments.
c.
mean square for treatments / mean square for error.
d.
mean square for error / mean square for treatments.
ANS: C
PTS:
1
REF:
SECTION 14.1
3.
In a singlefactor analysis of variance, MST is the mean square for treatments and MSE is the mean
square for error. The null hypothesis of equal population means is rejected if:
a.
MST is much smaller than MSE.
b.
MST is much larger than MSE.
c.
MST is equal to MSE.
d.
None of these choices.
ANS: B
PTS:
1
REF:
SECTION 14.1
4.
Which of the following is not a required condition for oneway ANOVA?
a.
The sample sizes must be equal.
b.
The populations must all be normally distributed.
c.
The population variances must be equal.
d.
The samples for each treatment must be selected randomly and independently.
ANS: A
PTS:
1
REF:
SECTION 14.1
5.
The analysis of variance is a procedure that allows statisticians to compare two or more population:
a.
means.
b.
proportions.
c.
variances.
d.
standard deviations.
ANS: A
PTS:
1
REF:
SECTION 14.1
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6.
The distribution of the test statistic for analysis of variance is the:
a.
normal distribution.
b.
Student
t
distribution.
c.
F
distribution.
d.
None of these choices.
ANS: C
PTS:
1
REF:
SECTION 14.1
7.
In a oneway ANOVA, error variability is computed as the sum of the squared errors, SSE, for all
values of the response variable. This variability is the:
a.
the total variation.
b.
withintreatments variation.
c.
betweentreatments variation.
d.
None of these choices.
ANS: B
PTS:
1
REF:
SECTION 14.1
8.
In the oneway ANOVA where there are
k
treatments and
n
observations, the degrees of freedom for the
F
statistic are equal to, respectively:
a.
n
and
k
.
b.
k
and
n
.
c.
n

k
and
k

1.
d.
k

1 and
n

k
.
ANS: D
PTS:
1
REF:
SECTION 14.1
9.
In the oneway ANOVA where
k
is the number of treatments and
n
is the number of observations in all
samples, the degrees of freedom for treatments is given by:
a.
k

1
b.
n

k
c.
n

1
d.
n

k
+ 1
ANS: A
PTS:
1
REF:
SECTION 14.1
10.
In ANOVA, the
F
test is the ratio of two sample variances. In the oneway ANOVA (completely
randomized design), the variance used as a numerator of the ratio is:
a.
mean square for treatments.
b.
mean square for error.
c.
total sum of squares.
d.
None of these choices.
ANS: A
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 Spring '10
 Kumar
 pts, REF

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