ANOVA Assignment
Name: ________________________
HOMEWORK 2: ANOVA
PSY 294, SPRING 2016
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This second and final homework for 294 is on ANOVA. Hopefully, completing this homework will also help with preparations for the second test, which focuses on ANOVA
This homework is to be completed individually. DO NOT copy and paste from ANY resource (e.g., the article, online, lectures, book). You must use your own wording and thoughts to answer all questions..
Submit your responses in as a word document to Canvas before 4:00 pm on Wednesday, November 16th.
Do not type directly into this document – rather download the word document labeled “Answer Document,” type into that document, and submit that document.
You will lose 5 points automatically for not following submission instructions (e.g., not submitting answer document, not submitting word document).
PART 1: Compete the design chart below. (15 pts; each blank .5)
What effects does it test for? In other words, what questions can be answered with this test? | # IVs? | # levels (each IV)? | Are the IV(s) between or within subjects? | # main effects? | # interaction effects | |
One-way Between Subjects ANOVA | ||||||
One-way Repeated Measures ANOVA | ||||||
2×2 Between Subjects Factorial ANOVA | ||||||
2×2 Repeated Measures Factorial ANOVA | ||||||
2×2
Mixed Model Factorial ANOVA |
PART 2: Read Pitts, Wilson, and Hugenberg (2013) and answer questions about the research described in the article. I would strongly advise reading the entire article before attempting to answer questions below. Sometimes we can get tunnel vision when looking for the answer to specific questions – but my questions below are written with the expectation you have read and understood the research (not just skimmed for answers). The article is attached in the assignment portal for Homework #2 in Canvas. Make sure you use your own words in your answers to these questions – do not copy any of the authors’ sentences. (14 pts)
a) In a couple sentences, what did the authors investigate in this research? (1pts)
Experiment I
b) What was the primary hypothesis in Study 1? Be specific (i.e., state direction of hypothesized effects). (1pt )
c) Is this primary hypothesis a main effect or interaction hypothesis? (.5pt)
d) List the primary DV (hint: the answer is NOT mood/arousal. You can ignore the mood/arousal findings for the purposes of this HW because we have not discussed covariates) (.5pt)
e) List the IV(s) (.5pt)
f) What are the levels of the IV(s) (.5pt)
g) State whether the/each IV is within or between subjects. (.5pt)
h) Based on the information you have accrued about the variables which statistical test should the authors have run. Be specific and use appropriate notation, if applicable (e.g., “paired samples t-test comparing dog versus cat owners on extraversion” “2 x 3 x 3 mixed model factorial ANOVA). (1pt )
i) What was the major finding from Study 1? Did this finding support the authors’ hypothesis? (1pts)
Experiment II
j) What was the primary hypothesis in Study 2? Be specific (i.e., state direction of hypothesized effects). (1pt )
k) Is this primary hypothesis a main effect or interaction hypothesis? (.5pt)
l) List the primary DV (hint: the answer is NOT mood/arousal. You can ignore the mood/arousal findings for the purposes of this HW because we have not discussed covariates) (.5pt)
m) List the IV(s) (.5pt)
n) What are the levels of the IV(s) (.5pt)
o) State whether the/each IV is within or between subjects. (.5pt)
p) Based on the information you have accrued about the variables which statistical test should the authors have run. Be specific and use appropriate notation, if applicable (e.g., “paired samples t-test comparing dog versus cat owners on extraversion” “2 (target gender: female vs. male) x 3 (major: biology vs. psychology vs. business) mixed model factorial ANOVA). (1pt )
q) Use the graph and the stats provided in the paper to describe which effects did and did not achieve significance. (1pts)
r) Describe the significant effects in detail (i.e., if a main effect describe pattern; if an interaction use simple effects to describe pattern) (1pt )
s) What was the major finding from Study 2? Did this finding support the authors’ hypothesis? (1pt)
PART 3: Read the following research descriptions. Complete questions regarding the hypotheses and findings. (21 pts)
1. You are investigating the likelihood of post-traumatic stress disorder of participants who have been categorized as “lonely” or “not lonely,” and who have experienced either a mildly or severely traumatic life event. You predict that, on average, when people experience a severely traumatic event, they are at a higher risk for PTSD than when they experience a mildly traumatic event (Hypothesis 1). You also predict that, overall, people who are lonely are at a higher risk for post-traumatic stress disorder than people who are not lonely (Hypothesis 2). However, you hypothesize that lonely people are only at a greater risk for PTSD (compared to not lonely people) when the event is mildly traumatic, but not when it is severely traumatic (Hypothesis 3).
a) First draw your predictions (based on the above description) in the graph below. You can right click the graph and select “edit data.” Don’t worry about error bars. (2pts)
b) What is the DV? (.5pt)
c) What are your IVs and their levels? (.5pt)
d) Are the IVs between or within subjects? (.5pt)
e) Explain your design using ANOVA notation (e.g., a 6 (factor: level vs level vs level…) x 2 (factor: level vs level) repeated measures factorial ANOVA). (1pt)
f) Based on the description above do you predict each of the following effects? (1.5pts)
Main effect of Type of event YES NO
Main effect of Loneliness YES NO
Interaction of Type of event and Loneliness YES NO
You ran the study described above. Here is a graph of your actual (fictional) data.
g) Based on the graph, which of the following effects are present? (1.5pts)
Main effect of Type of event YES NO
Main effect of Loneliness YES NO
Interaction of Type of event and Loneliness YES NO
h) Does it appear that the hypotheses are supported? Please explain why or why not, separately for your three hypotheses. (3pts)
Hypothesis 1:
Hypothesis 2:
Hypothesis 3:
2. You are whether 5 hour energy affects cognitive task performance differentially for those who have versus have not already consumed caffeine. You ask participants as they enter the lab whether they consumed caffeine earlier in the day (yes or no). You then have participants complete a baseline measure of the cognitive task (i.e., anagram task). After, participants have completed the baseline measure, all consume a 5 hour energy before repeating the cognitive task 15 minutes later. You predict 5 hour energy will not have an overall effect on cognitive task performance (Hypothesis 1). You also predict that having consumed caffeine earlier in the day will have no overall effect on cognitive task performance (Hypothesis 2) However, you predict that for those participants who have not already consumed caffeine, the 5 hour energy will improve performance, but for those who have already consumed caffeine the 5 hour energy will hinder performance (Hypothesis 3).
a) First draw your predictions (based on the above description) in the graph below. You can right click the graph and select “edit data.” Don’t work about error bars. (2pts)
b) What is the DV? (.5pt)
c) What are your IVs and their levels? .5pt)
d) Are the IVs between or within subjects? (.5pt)
e) Explain your design using ANOVA notation (e.g., a 6 (factor: level vs level vs level…) x 2 (factor: level vs level) repeated measures factorial ANOVA). (1pts)
f) Based on the description above do you predict each of the following effects? (1.5pts)
Main effect of caffeine YES NO
Main effect of 5-hour energy YES NO
Interaction of caffeine and 5-hour energy YES NO
You ran the study described above. Here is a graph of your actual (fictional) data.
g) Based on the graph, which of the following effects are present? (1.5pts)
Main effect of caffeine YES NO
Main effect of 5-hour energy YES NO
Interaction of caffeine and 5-hour energy YES NO
h) Does it appear that the hypotheses are supported? Please explain why or why not, separately for your three hypotheses. (3pts)
Hypothesis 1:
Hypothesis 2:
Hypothesis 3:
BONUS:
Create your own research description like those in part III. I will chose one or two of these to be questions on Exam II. If your question is chosen for the exam you will most definitely get the question right!!!
Describe the back story making sure the design and hypotheses are clear.
a. Graph the hypotheses (fill in axes labels)
b. What is the DV?
c. What are your IVs and their levels?
d. Are the IVs between or within subjects?
e. Explain your design using ANOVA notation (e.g., a 6 (factor: level vs level vs level…) x 2 (factor: level vs level) repeated measures factorial ANOVA).
f. Based on the description above do you predict each of the following effects?
Main effect of IV#1 YES NO
Main effect of IV#2 YES NO
Interaction YES NO
g. Make up fake data that doesn’t exactly match all hypotheses. Right click edit data (don’t worry about error bars, but do fill in axes)
h. Based on the graph, which of the following effects are present?
Main effect IV#1 YES NO
Main effect IV#2 YES NO
Interaction YES NO
i. Does it appear that the hypotheses are supported? Please explain why or why not, separately for your three hypotheses.
Hypothesis 1:
Hypothesis 2:
IV #2 level 1 IV#1 level 1 IV#1 level 2 IV #2 level 2 IV#1 level 1 IV#1 level 2
y axis
IV #2 level 1 IV#1 level 1 IV#1 level 2 IV #2 level 2 IV#1 level 1 IV#1 level 2
y axis
Lonely Mildly traumatic event Severly traumatic event Not lonely Mildly traumatic event Severly traumatic event
Likelihood of PTSD (%)
Lonely Mildly traumatic event Severly traumatic event 10 20 Not lonely Mildly traumatic event Severly traumatic event 20 30
Likelihood of PTSD (%)
pre- 5 hour energy Not caffinated Caffinated post- 5 hour energy Not caffinated Caffinated
Cognitive Task Performance
pre- 5 hour energy Not caffinated Caffinated 4 7 post- 5 hour energy Not caffinated Caffinated 3 4
Cognitive Task Performance