A trial evaluated the fever-inducing effects of three substances. Study subjects were adults seen in an emergency room with diagnoses of the flu and body temperatures between 100.0 and 100.9ºF. The three treatments (aspirin, ibuprofen and acetaminophen) were assigned randomly to study subjects.
1. A trial evaluated the fever-inducing effects of three substances. Study subjects were adults seen in an emergency room with diagnoses of the flu and body temperatures between 100.0 and 100.9ºF. The three treatments (aspirin, ibuprofen and acetaminophen) were assigned randomly to study subjects. Body temperatures were reevaluated 2 hours after administration of treatments. The below table lists the data.
Data Table: Decreases in body temperature (degrees Fahrenheit) for each patient
Mean
Group 1 (aspirin)
0.95
1.48
1.33
1.28
1.26
Group 2 (ibuprofen)
0.39
0.44
1.31
2.48
1.39
1.20
Group 3 (acetaminophen)
0.19
1.02
0.07
0.01
0.62
-0.39
0.25
The ANOVA table that corresponds to this data is below.
a) State the research question that this ANOVA answers.
Which treatment is most effective in reducing body temperatures?
b) Answer your research question using the means in the Data Table and the ANOVA results.
c) Which treatment(s) would you recommend to reduce a fever for this population?
d) What type of tests could you conduct that would allow you to compare each treatment group to the other (2 at a time) without inflating the type I error (α)?
e) Why is it important to make sure you do not increase the type I error?
ANOVA Table:
Fev_red
Sum of Squares
df
Mean Square
F
Sig.
Between groups
3.426
2
1.713
4.777
0.030
Within groups
4.303
12
0.359
Total
7.729
14