Chapter 13
One-way ANOVA
1. A researcher conducts an experiment comparing four
treatment conditions with a separate sample of n=5 in each treatment. An ANOVA is used to evaluate the data, and
the results of the ANOVA are presented in the table below. Complete all missing values in the table.
|
Source |
SS |
df |
MS |
F |
|
Between |
12 |
|
|
2.0 |
|
Within |
|
|
|
|
|
Total |
|
|
|
|
2. Use an ANOVA with a = .05 to determine whether
the following data provide evidence of any significant differences among the
three treatments.
|
Treatment 1 |
Treatment 2 |
Treatment 3 |
|
|
0 |
4 |
1 |
|
|
2 |
6 |
0 |
G=30 |
|
2 |
1 |
3 |
|
|
0 |
5 |
1 |
SX2=114 |
|
1 |
4 |
0 |
|
|
T=5 |
T=20 |
T=5 |
|
|
SS=4 |
SS=14 |
SS=6 |
|
3. A researcher uses an analysis of variance to test
for mean differences among three treatment conditions using a sample n=10
subjects in each treatment. The F-ratio
from this analysis would have
a. df = 29
b. df = 2, 29
c. df = 3, 27
d. df = 2, 27
4. In general, the largest F-ratio will be obtained
when the differences between sample means are __________ and the magnitudes of
the sample variances are __________.
a. small, small
b. small, large
c. large, small
d. large, large
5. A research study compares three treatment
conditions using a sample of n=5 in each treatment. For this study, the three sample totals are T1=5, T2=10, and
T3=15. What value would be obtained for
SS Between?
a. 1
b. 5
c. 10
d. 15
6. The purpose for post hoc tests is
a. to determine whether or not a Type I error was
committed
b. to determine how much difference exists between the
treatments
c. to determine which treatments are significantly
different
d. none of the above
Chapter 15
Two-way ANOVA
1. Use a two-way ANOVA to evaluate the following data
from an experimental design using n=5 subjects for each treatment
condition. Use a = .05 for
all tests.
|
Treatment |
B1 |
B2 |
B3
|
A1 |
Mean = 1 T = 5 SS = 15 |
Mean = 1 T = 5 SS = 15 |
Mean = 4 T = 20 SS = 25 |
|
A2 |
Mean = 1 T = 5 SS = 15 |
Mean = 3 T = 15 SS = 25 |
Mean = 8 T = 40 SS = 25 |
N = 30
G = 90
SX2 = 580
2. The results from a two-factor research study with 2
levels of factor A, 3 levels of factor B, and n=5 subjects in each treatment
condition were evaluated with an ANOVA.
The results are summarized in the following table. Fill in all missing values.
|
Source |
SS |
df |
MS |
F |
|
Between |
35 |
|
|
|
|
A |
|
|
|
|
|
B |
20 |
|
|
|
|
Intx |
|
|
5 |
|
|
Within |
|
|
2 |
|
|
Total |
|
|
|
|
3. For an experiment involving three levels of factor
A and 4 levels of factor B with a sample of n = 5 in each treatment condition,
what is the value for df within?
a. 12
b. 24
c. 48
d. 60
4. The results from a two-factor ANOVA show a
significant main effect for factor A and a significant main effect for factor
B. Based on this information, you can
conclude that
a. There must be a significant interaction.
b. The interaction cannot significant
c. You cannot make any conclusion about the
significance of the interaction.
5. The following data represent the means for each
treatment condition in a two factor experiment. Note that one mean is not given.
What value for the missing mean would result in no main effect for
factor A?
|
|
B1 |
B2 |
|
A1 |
40 |
30 |
|
A2 |
30 |
? |
a. 10
b. 20
c. 30
d. 40
6. A two-factor research study is used to evaluate the
effectiveness of a new blood pressure medication. In this two-factor study, factor A is medication versus no
medication and factor B is male versus female.
The medicine is expected to reduce blood pressure for both males and
females, but it is expected to have a much greater effect for males. This expectation should result in
a. a significant main effect for medication.
b. a significant main effect for gender.
c. a significant interaction.
d. all of the above.
Chapter 16
Correlation and Regression
1. For the following set of scores
a. Compute the Pearson correlation.
b. Find the regression equation for predicting Y from
X.
c. Calculate the standard error of the estimate.
|
X |
Y |
|
0 |
16 |
|
1 |
6 |
|
2 |
9 |
|
3 |
0 |
|
4 |
9 |
2. In general, the more square-footage a person’s home
has, the greater the value of the car he/she drives. This demonstrates
a.
a positive
correlation
b.
a negative
correlation
c.
a curvilinear
correlation
d.
none of the above
3. Which of the following Pearson correlations shows
the largest magnitude of relationship?
a.
–0.90
b.
+0.74
c.
+0.85
d.
–0.33
4. A correlation is computed for a sample of n=15
pairs of X and Y values. How large a
correlation is necessary to be statistically significant at the .05 level
assuming a two-tailed test?
a.
0.468
b.
0.482
c.
0.497
d.
0.514