Name:
Class:
Date:
Indicate whether the statement is true or false.
1. In two-way ANOVA, a single variable is measured at various levels of a single factor.
a.
True
b.
False
2. The null hypothesis that indicates there are no differences in population means across levels is
a.
True
b.
False
3. In a full factorial design, researchers assign experimental units to each treatment level combination.
a.
True
b.
False
4. In a designed experiment, researchers control for various factors such as age, gender, or socioeconomic status.
a.
True
b.
False
5. Contrast is the unavoidable confusion of some effects with others in an incomplete experimental design.
a.
True
b.
False
Indicate the answer choice that best completes the statement or answers the question.
6. Which p-value from a two-way ANOVA table indicates an effect that is not statistically significant?
a.
0.000
b.
0.011
c.
0.047
d.
0.110
7. In a one-way ANOVA test, we conclude there are differences across population means if the:
a.
between variation is small relative to the within variation
b.
between variation and within variation are equal
c.
between variation is large relative to the within variation
d.
between variation equals zero
8. Samples with large within variation have boxplots with:
a.
wide boxes and long lines extending from them
b.
wide boxes and no lines extending from them
c.
short boxes and no lines extending from them
d.
short boxes and short lines extending from them
9. Jeremiah is testing the impact of different fertilizers on crop yields. Six different fertilizers have been applied to one
field. Suppose he uses an ANOVA to test whether or not there are differences in yields. How many treatments are in this
test?
a.
zero
b.
one
Name:
Class:
Date:
c.
five
d.
six
10. Priti is wondering whether time of day impacts worker productivity. She randomly chooses 25 workers from each of
the three shifts her company runs. The design of this study is
a.
even
b.
balanced
c.
unbalanced
d.
observational
11. Interactions:
a.
indicate patterns of differences in means that could not be guessed from the main effects alone
b.
occur only in one-way ANOVA tests
c.
occur when the effect of one factor on the dependent variable is independent of the level of other factors
d.
indicate the effect of one factor on the dependent variable is the same regardless of the level of the other
factors
12. The smaller the p-value in an ANOVA table, the greater the likelihood that the effect:
a.
is statistically insignificant
b.
will be ignored
c.
is statistically significant
d.
has no practical impact
13. What is one assumption of two-way ANOVA tests?
a.
The distribution is not normal and the variances are different across combinations.
b.
The distribution is normal and the variance at any particular combination is the same as any other
combination.
c.
The distribution is not normal and the variance at any particular combination is the same as any other
combination.
d.
The distribution is normal and the variances are different across combinations.
14. Moriah runs a one-way ANOVA to test differences in means in delivery time. The SSB is 109,400 and the total sum
of squares is 715,460. What is the value of the SSW?
a.
-606,060
b.
218,800
c.
606,060
d.
824,860
15. An observational study:
a.
analyzes data already available
b.
makes it possible to rule out factors over which the researcher has no control for the observed effects
c.
examines individuals that have been selected by the researchers
d.
allows researchers to control for all extraneous factors
ANOVA
Name:
Class:
Date:
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
1
44082.89
263.86
0.00
4.23
Within Groups
4343.79
26
167.07
Total
48426.68
27
16. What is the logical next step once Mook Corp. has identified that workers attending different training programs have
different productivity levels?
17. Mook Corp. has utilized three different types of training for its employees. The company would like to determine
whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs.
What is the alternate hypothesis for the ANOVA test in the accompanying figure?
18. What does the ANOVA output in the accompanying figure indicate?
19. Suppose Mook Corp. was interested in running a two-way ANOVA. What other factors might you recommend they
include in the test?
20. What is the value of the SSB and what does it measure?
Name:
Class:
Date: