This document contains details of an exam for a psychology course covering analysis of variance (ANOVA). It includes completion and short answer questions testing understanding of concepts like one-way and factorial ANOVA, correlations, regression, and repeated measures designs. It also includes multiple multi-part problems requiring calculations and interpretation for one-way ANOVA, factorial ANOVA, correlation, regression, and repeated measures ANOVA analyses of hypothetical research studies and data sets.

1. PSYC 317 – Spring 2015: Exam 3
Answer the questions below to the best of your ability. Partial
credit will be awarded where possible. You MUST SHOW
YOUR WORK for full credit for calculation problems.
Completion (37 points)
Complete each sentence or statement.
1. For a one-way Analysis of Variance, if the variance
between groups is due only to chance we expect our F-test
statistic to be equal to ________ (1 point).
2. A 2x4 factorial ANOVA analyzes _____ independent
variable(s) (1 point).
3. If repeated administrations of a test to the same individual
leads to identical scores on the test, we say that the test is
_________________, however if a test accurately measures the
intended psychological construct, we say that a test is
_________________ (2 points).
4. One needs to use a __________________ test after an
ANOVA only if it is significant (1 point).
5. The SS-within will never be _________________ (greater
or smaller) than the SS-error (1 point).
6. Main effects test for differences among ______________
means, whereas the interaction tests for leftover differences
among the _________________ means (2 points).
7. A correlation between a dichotomous (2 category) variable
and a continuous variable is called a
_______________________ correlation, whereas a correlation
between two continuous variables is called a
___________________ correlation (2 points).
8. In regression, ________________ represents the predicted
change in Y when X is increased one point/unit (1 point).
9. For regression, the ___________________ reflects the

2. typical deviation between a predicted Y and actual Y (1 point).
10. Complete the following ANOVA table for a one-way
design with 5 different treatment conditions with n = 12 people
in each condition. (8 points)
Source
SS
df
MS
F
p
Between Groups
10
Within Groups
Total
150

3. 11. Complete the following ANOVA table for a factorial
design. Dr. Sousa wanted to see if gender and/or dog ownership
influences the number of digital songs a person own. He found
out how many digital songs each person owned (the DV). He
also recorded their gender (either male or female) and whether
they owned a dog (yes or no). n = 10 for each condition (17
points)
#Source
SS
df
MS
F
p
Between treatments
24
Gender
Dog Ownership
12

4. 4
Gender x Dog
4
Within
3
Total
Short Answer (19 points)
Choose one of the following two short answer problems.
1. Describe at least two of the commonly used
applications/purposes for which researchers use correlations (2
points).

5. 2. Describe briefly two situations when one would use a
Spearman correlation instead of a Pearson correlation. (2
points)
Choose one of the following two short answer problems.
3. Describe the two stages for computing a repeated-measures
ANOVA by hand. (2 points)

6. 4. Describe at least two advantages to using an ANOVA or
Factorial ANOVA to analyze your data rather than multiple t
tests (2 points).
For each of the following scenarios, identify the independent
variable(s), the dependent variable, and the best inferential test
from this course to test the hypothesized relationship.
Remember, the correct answer might be any inferential
technique discussed over the entire semester. (3 points each)
Dr. Matthews would like to investigate the differences in
suicide ideation among individuals of different religions
(Catholic, Protestant, Jewish, Islamic). She is also interested in
gender differences (males versus females) in suicide ideation.
She records suicide ideation in each individual using an interval
response scale, as well as their religious affiliation and their
gender.
Predictor(s)/IV(s):______________________
Criterion/DV:_______________________
test:________________________
Dr. Peterson wants to see if vegetarianism (yes/no) has an effect
on political conservatism. He gives a (continuous) conservatism
assessment to a sample of vegetarians and a sample of meat-
eaters. He then compares the scores from each sample to see if
there is a significant difference in political conservatism

7. between the two groups.
Predictor(s)/IV(s):______________________
Criterion/DV:_______________________
test:________________________
Dr. Kilduff is interested in examining the relationship between
depression and binge eating. He gives a sample of eating
disorder patients an assessment of their depression levels on a
continuous scale and then counted how many calories they eat
each day. He compares the assessment scores from each
individual to see if there is a relationship between depression
and caloric intake.
Predictor(s)/IV(s):______________________
Criterion/DV:_______________________
test:________________________
Dr. Dillamond collected a sample of workers who have
flexibility in where they can work, and he assessed their
productivity (a continuous variable) in three different places: in
their home, in their office, and in a neutral location (i.e., a café
with internet access) to determine if there are productivity
differences by location. He assesses each participant in all
three locations.
Predictor(s)/IV(s):______________________
Criterion/DV:_______________________
test:________________________
Thirty participants watch a 10-minute video clip of a comedy
television show. After a 1-hour break, the same participants
return to watch a 10-minute video clip of a reality television
show. After each showing, participants rate how much they like
the shows on a ratio scale.
Predictor(s)/IV(s):______________________
Criterion/DV:_______________________
test:________________________
Problems (82 points)

8. Remember you MUST show your work to receive full credit.
1) Dr. Martin wants to determine if video game playing is
related to how much one values education. She asks people to
report how many hours a week they play video games, and then
asks them to rate how important education is to them on a 1 (not
important) to 10 (very important) scale. She believes that
people who play more video games will value education less.
Use the data below to answer the following questions:
Hours of game playing
Education rating
6
8
3
5
12
2
10
4
8
6
2
10
What is the alternative hypothesis in words and statistical
notation (2 point)?
What is the null hypothesis in words and statistical notation (2
point)?

9. What is the critical value (1 point)?
Compute the test statistic (8 points):
What do you conclude regarding the null hypothesis test and the
research question (2 points)?
Compute an effect size and interpret it (2 points).
2) Professor Miles wants to examine the makeup of her final
grades for students. She wants to know if there were any gender
differences, differences based on semester, or an interaction
between the two effects. The data below reflect average final
grade by gender and semester. They are also shown in the
associated chart.
Spring
Summer
Male
M = 75, T = 825
SS = 150, n = 11

10. M = 65, T = 715
SS = 180, n = 11
Female
M = 73, T =803
SS = 150, n = 11
M = 81, T = 891
SS =200, n = 11
What are the alternative hypotheses (3 point)?
What are the null hypotheses (3 point)?
What are the critical values (1 point)?
Compute the test statistics (16 points):
What do you conclude regarding the null hypothesi (
T

11. = 1540
) (
T
= 1694
) (
G
= 3234
) (
T
= 1628
) (
T
= 1606
)s test and the researcher’s question (3 points)?
3) Dr. Hawkins wants to determine if cologne can actually
increase the number of phone numbers a man can get at a bar.
He randomly samples 20 male college students and assigns them
to one of four conditions: control condition (no cologne), Tag,
Axe, and Old Spice. Participants sprayed their cologne 30
minutes before entering the bar. The amount sprayed was
identical for each participant. The data below report how many
phone numbers each participant obtained.
Control
Tag
Axe
Old Spice
4
3
5
2

12. 6
5
9
1
7
2
10
3
5
4
8
4
7
2
9
1
SS = 6.8
SS = 6.8
SS = 14.8
SS = 6.8
N = 20,
What is the alternative hypothesis in words and statistical terms
(2 points)?
What is the null hypothesis in words and statistical terms (1
point)?
What is the critical value (1 point)?

13. Compute the test statistic and report the data in an ANOVA
table format (9 points)?
Source
SS
Df
MS
F
p
Between
Within
Total
What do you conclude from these data regarding the research

14. question and the hypothesis test (2 points)?
Compute and interpret an effect size measure (2 points).
4) Dr. Pappas is investigating whether diet influences people’s
intelligence scores. He gathered a sample of 33 participants and
assessed their IQ. He also collected information on whether
they were vegan, vegetarian, or omnivores. The data he
collected is displayed below. He calculated a one-way ANOVA
and found that there is a significant difference somewhere.
However, post hoc analyses need to be conducted to assess
where those differences lie. The source table is also displayed
below.
Vegans
Vegetarians
Omnivores
M = 95
T = 1045
n = 11
M = 100
T = 1100
n = 11
M = 110
T = 1210
n = 11
Source
SS
df

15. MS
F
p
Between
1283.33
2
641.67
8.00
< .05
Within
2406.25
30
80.21
Total
3689.58
32
Compute and interpret a post-hoc measure of your choice. What
do you conclude (i.e. is each difference significant)? (4 points)
5) A researcher collects information from a group of
participants about many miles per hour they usually drive above
the speed limit (a continuous variable), and how many traffic
incidents they’ve been involved in throughout their life (e.g.,

16. receiving tickets or being in collisions, also a continuous
variable). The researcher decided to run a Pearson correlation
analysis on the data, and finds that SP = 2 for the two variables.
Additionally, for mph above the speed limit, he finds M = 10,
and SS = 4. For number of traffic incidents, he finds M = 6,
and SS = 5. However, he changes his mind about the analysis,
and decides to perform a regression so that he can predict
number of traffic incidents based on amount speeding.
Calculate b for the data (with speeding predicting number of
incidents) (2 points).
Interpret b (2 points).
Calculate a for the data (2 points).
Interpret a (2 points).

17. 6) Dr. Inman believes that environment influences physical
abilities. He conducts a repeated-measures design to assess if
environment influences how fast someone runs 5 miles. He
gathers 5 participants, and has them run 5 miles each at the gym
on a treadmill, outside in a residential neighborhood, and
outside on a running trail in a park. All participants run in each
of the conditions, though there is adequate rest between trials (2
days), plus the order of trials is randomized for each
participant. His recorded data are below (time in minutes):
Gym
Neighborhood
Park
P
A
46
56
51
153
B
68
78
79
225
C
49
51
49
149
D
36
46
51
133

18. E
58
65
59
182
Dr. Inman goofed up and accidentally ran his data as a one-way
between-subjects ANOVA! His results were not significant:
Source
SS
df
MS
F
p
Between-groups
172.9333
2
86.4667
0.5606
.585
Within-groups
1850.8000
12
154.2333
2023.7333
14

19. Fix his results for him. Correct his mistake, and calculate what
his results should be for the correct method, a repeated-
measures ANOVA. Be sure to do these calculations by hand,
and show your work.
HINT: He already did half of your work for you by running his
ANOVA.
Compute the test statistic (6 points):
What do you conclude from these data regarding the research
question and the hypothesis test (2 points)?
Calculate and interpret a measure of effect size (2 points).
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