College stats A NOVA you can skip question 2530.
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65040 ComputerAssisted Data Analysis
Part I: Identifying appropriate the statistical test.
Questions
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– 6. A new medicine, BeGone, claims to relieve a headache in ten minutes and last for up to six hours. Researchers running a clinical trial to test BeGone’s effectiveness assessed headache relief, as measured by selfreport on a scale of 1 (no relief) to 10 (complete relief); specifically they were interested in whether there was significant difference in headache relief given BeGone treatment as compared to a placebo or no treatment at all. They tested three separate groups of people – those who had a headache and took BeGone, those who had a headache and took a placebo, and those who had a headache but took nothing.
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Points 
Question 
Enter your response in the space below: 

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1. What is (are) the research hypothesis/es of the clinical study? 

2. What is (are) the null hypothesis/es of the clinical study? 

3. What is the dependent variable? 
4. List the independent variable(s) and the levels of the IV(s). State (for each IV), whether it is between or withinSs. 

5. Which test would be appropriate to analyze the data in this study? 
☐oneway independent groups ANOVA ☐oneway repeated measures ANOVA ☐twoway independent groups ANOVA ☐twoway repeated measures ANOVA ☐twoway mixed measures ANOVA 

6. State whether the researchers should look for an interaction effect. If so, please draw a graph of a possible interaction that the researcher might observe and describe the interaction you have depicted. 
Questions 7 – 12. Researchers were interested in whether there was a significant difference in the effectiveness of biological gestures (e.g., pointing) in divert attention as compared to directional icons (e.g., arrows) or directional words (e.g., left) and whether the effect (if any) is significantly mediated by the length of time the directional cue is presented. Suppose the researchers asked study participants to move their eyes in the opposite direction of a directional cue and recorded how long it took participants to initiate a correct eye movement.
F
or one group of participants, the cue remained on the screen until the eye movement was initiated, while for a separate group of participants, the cue was simply flashed for a tenth of a second. Both groups were presented with all possible cues – biological, iconic, and words.
(This example is based on a real paper, amusingly called “Giving subjects the eye and showing them the finger”, Gregory and Hodgson, 2012.)
Points
Question
Enter your response in the space below:
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7. What is (are) the research hypothesis/es of the experimental study? 
8. What is (are) the null hypothesis/es of the experimental study? 
☐oneway independent groups ANOVA
☐oneway repeated measures ANOVA
☐twoway independent groups ANOVA
☐twoway repeated measures ANOVA
☐twoway mixed measures ANOVA
9. What is the dependent variable? 
10. List the independent variable(s) and the levels of the IV(s). State (for each IV), whether it is between or withinSs. 
11. Which test would be appropriate to analyze the data in this study? 
12. State whether the researchers should look for an interaction effect. If so, please draw a graph of a possible interaction that the researcher might observe and describe the interaction you have depicted. 
Questions 13 – 18. Researchers were interested in the effect of Lent on the diet of hyenas who scavenge food from the local human population. They tested the percent of donkey meat ingested in a single population of hyenas before, during, and after Lent. The researchers were interested in whether there was a significant difference in the amount of donkey meat ingested as a function of the time period relative to Lent.
(This is also based on a real study! See here for gripping details about how the researchers knew what the hyenas were eating: http://www.sciencedaily.com/releases/2012/04/120405075232.htm)
Points
Question
Enter your response in the space below:
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13. What is (are) the research hypothesis/es of the observational study? 
14. What is (are) the null hypothesis/es of the observational study? 
15. What is the dependent variable? 
☐oneway independent groups ANOVA
☐oneway repeated measures ANOVA
☐twoway independent groups ANOVA
☐twoway repeated measures ANOVA
☐twoway mixed measures ANOVA
16. List the independent variable(s) and the levels of the IV(s). State (for each IV), whether it is between or withinSs. 
17. Which test would be appropriate to analyze the data in this study? 
18. State whether the researchers should look for an interaction effect. If so, please draw a graph of a possible interaction that the researcher might observe and describe the interaction you have depicted. 
Questions 19 – 24. Researchers are interested in whether there is a significant difference in the reduction of anxiety in geriatric patients with dementia following cognitivebehavioral therapy as compared to psychoanalytic treatment, and whether the effect (if any) is significantly mediated by gender. They randomly assigned men and women to either cognitivebehavior therapy or psychoanalytic therapy, and evaluated patients’ improvement using the Beck Anxiety Inventory (BAI).
Points
Question
Enter your response in the space below:
1 1 1
19. What is (are) the research hypothesis/es of the observational study? 
20. What is (are) the null hypothesis/es of the observational study? 
21. What is the dependent variable? 
☐oneway independent groups ANOVA
☐oneway repeated measures ANOVA
☐twoway independent groups ANOVA
☐twoway repeated measures ANOVA
☐twoway mixed measures ANOVA
22. List the independent variable(s) and the levels of the IV(s). State (for each IV), whether it is between or withinSs. 
23. Which test would be appropriate to analyze the data in this study? 
24. State whether the researchers should look for an interaction effect. If so, please draw a graph of a possible interaction that the researcher might observe and describe the interaction you have depicted. 
Part II: Carrying out a twoway mixed model ANOVA using SP
SS
.
Carry out an analysis using SPSS for the study above that you identified as the twoway mixed design ANOVA.
Points 3
Enter your response in the space below each question: 

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25. Make up your own data for the twoway mixed model ANOVA and enter it into SPSS. Create a clustered bar graph and copy and paste it below. 

26. Describe the main effects and interaction as they are shown in your graph. (It may help you to generate separate graphs for each of the main effects.) 
Points
Question
Enter your response in the space below:
Extra Credit +2☐yes
☐no
27. Run a twoway mixed design ANOVA using SPSS and copy and paste the following output tables: Mauchly’s Test of Sphericity, Tests of Within Subjects Effects, and Tests of BetweenSubjects Effects. 

Extra Credit +2 
28. Was Mauchly’s Test of Sphericity found to be significant? 
☐yes ☐no 

29. Should you look to the GreenhouseGeisser corrected value for the significance of the main effect of the withinSs variable? 

30. Write a short paragraph reporting the results of the main effects and interaction. For each, you must report the F value, the relevant degrees of freedom, and the significance level. 
Part III: Computing a twoway independent groups ANOVA by hand.
Researchers have found that healthy people demonstrate faster simple reaction times than people suffering from a common cold. This raises the possibility that drivers who are sick are more likely to get into car accidents and be injured in other situations requiring quick responses. Researchers are interested in whether sucking on a cough drop containing menthol may be a cheap and noninvasive way to boost alertness and reaction times.
A research team runs a pilot study containing only 16 participants. Participants were randomly assigned to one of two
Health
conditions. The eight participants in the
Sick
condition agreed to have a cold virus placed in their noses, which resulted in them getting a cold. The other eight participants were
Healthy
. During a simple reaction time test, half of the participants in each condition sucked on a
Cough Drop
containing
Menthol
; the other half sucked on a Cough Drop containing
Pectin
.
The researchers expected (a) to replicate the previous finding that Healthy people would show faster reaction times than Sick people. Furthermore, they hypothesized that (b) people who sucked on a cough drop containing Menthol would show faster reaction times than people who sucked on a cough drop containing Pectin, and (c) that the difference in reaction times would be greater for Sick people than for Healthy people.
They collected the following data:
HealthyPectin
HealthyPectin
Healthy HealthyMenthol
HealthyMenthol
Pectin
SickPectin
SickPectin
SickMenthol
SickMenthol
SickMenthol
Health 
CoughDrop 
ReactionTime 

Healthy  Pectin 
225 

260 

275 

Menthol 
280 

210 

265 

Sick 
420 

375 

480 

340 

320 

310 
31. Describe the main effect (if any) of Health in the bar graph below (1 pt):
32. Describe the main effect (if any) of Cough Drop in the bar graph below (1 pt):
33. Describe the interaction (if any) between Health and Cough Drop in the bar graph below (1 pt):
34. Fill in the cell and marginal means of the contingency table (3 pts). (You do not need to show your work for these means.)
Pectin
Menthol
HealthHealthy
Sick
Overall AverageCough Drop 
Overall Average 

35. Figure and :
a. Please show your work in the table below (5 pts):
Healthy, Pectin 
Healthy, Menthol 
Sick, Pectin 
Sick, Menthol 
In order to get credit for (b) and (c) below, you must show your work (e.g., show what numbers you are adding, subtracting, etc.).
b. (2 pts)
c. (2 pts)
36. Figure and :
a. Please show your work in the table below (5 pts):
HealthySick
In order to get credit for (b) and (c) below, you must show your work (e.g., show what numbers you are adding, subtracting, etc.).
b. (2 pts)
c. (2 pts)
37. Figure and :
a. Please show your work in the table below (5 pts):
PectinMenthol
In order to get credit for (b) and (c) below, you must show your work (e.g., show what numbers you are adding, subtracting, etc.).
b. (2 pts)
c. (2 pts)
38. Figure and :
a. Please show your work in the table below:
In order to get credit for (b) and (c) below, you must show your work (e.g., show what numbers you are adding, subtracting, etc.).
b. (2 pts)
c. (2 pts)
39. Figure F’s for the main effects and the interaction.
In order to get credit for (a) through (c) below, you must show your work.
a. (2 pts) Rows
b. (2 pts) Columns
c. (2 pts) Interaction
40. Determine F cutoffs:
a. (2 pts) Rows (Health)
b. (2 pts) Columns (Cough Drop)
c. (2 pts) Interaction (Health x Cough Drop)
41. Fill in the ANOVA summary table below (5 pts).
Source 
SS 
df 
MS 
F  p 
Sleep 

Gender 

Sleep X Gender 

Within
(Error) 

Total 
42. Write a short paragraph reporting the results of the main effects and interaction. For each, you must report the F value, the relevant degrees of freedom, and the significance level. (3 pts)
43. Which of the researchers’ hypotheses were supported? (2 pts)
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