articipant Anxiety Symptoms After Coffee Anxiety Symptoms After Red Bull Anxiety Symptoms After 5 Hour Energy Shot Subject Means A 4 7 3 4.67 N = 12 B 2 11 9 7.33 GM = 6 C 3 8 3 4.67 D 7 10 5 7.33 Treatment Means M1 = 4 M2 = 9 M3 = 5 SS1 = 14 SS2 = 10 SS3 = 24
A researcher is interested in caffeine consumption and its influence on anxiety symptoms before an exam. Types of caffeine included Coffee, Red Bull, and 5 Hour Energy Shot. Five participants consume a type of caffeine before an exam at three different points in the semester. Higher scores represent higher amount of reported anxiety symptoms.
|
Participant |
Anxiety Symptoms After Coffee |
Anxiety Symptoms After Red Bull |
Anxiety Symptoms After 5 Hour Energy Shot |
Subject Means |
|
|
A |
4 |
7 |
3 |
4.67 |
N = 12 |
|
B |
2 |
11 |
9 |
7.33 |
GM = 6 |
|
C |
3 |
8 |
3 |
4.67 |
|
|
D |
7 |
10 |
5 |
7.33 |
|
|
Treatment Means |
M1 = 4 |
M2 = 9 |
M3 = 5 |
||
|
SS1 = 14 |
SS2 = 10 |
SS3 = 24 |
a) What type of ANOVA should be conducted?
b) Find the cutoff F-value:
c) Calculate the necessary Sum of Squares (SS):
SSbt=
SSwt=
SSbs=
SSerror=
d) Calculate the F statistic (remember to compute degrees of freedom).
e) What can you conclude?
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