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HW #2.2: Oneway Analysis of Variance
Assigned: 2/13-14/2020
Due: Friday, 2/21/2020 by 11:59pm
For this homework assignment, you will need to answer each of the following questions. Links to data files will be provided for
each question (unless otherwise specified). Assume that all factors and treatments are fixed effects and that measurement
units are properly sampled from an appropriate population.
Problem 1
(Modification of Exercise 3.1 in Oehlert)
Researchers use a lottery to assign one of four different treatments to individual rats. After the study period, researchers
then measured the rat’s total weight and liver weight. What was the impact of the diets on the liver weight expressed as a
percentage of total body weight?
Data: https://raw.github.com/neilhatfield/STAT461/master/ratLiver.dat
(a) Create a Hasse Diagram for this study.
(b) Compute and interpret the overall mean and treatment effects.
(c) Generate an ANOVA table for the data.
(d) Discuss the appropriateness of the parametric shortcut test.
(e) Using the parametric shortcut, what are you going to decide between the hypotheses?
(f) What is the practical significance of your model?
Problem 2
(Modification of Exercise 3.3 in Oehlert)
See Oehlert for details.
Data: manually enter
(a) Prepare an ANOVA table for the data and test the null hypothesis that all four treatment yield the same effect.
(b) What is the practical significance of your model?
Problem 3
Researchers compared three preservatives and a null treatment in terms of their ability to inhibit the growth of bacteria.
Researchers treated petri dishes with one of the preservatives or a neutral chemical and each dishes. After 48 hours, the
researchers recorded the bacterial counts in colony forming units (CFUs).
Data: https://raw.github.com/neilhatfield/STAT461/master/preservatives.dat
(a) Create a Hasse Diagram for this study.
(b) Discuss the appropriateness of using the parametric shortcut to test whether the treatment levels are statistically
different.
(c) Perform an appropriate hypothesis test.
(d) What is the practical significance of your model?
Problem 4
Complete Problem 3.2 in Oehlert
Data: https://raw.github.com/neilhatfield/STAT461/master/fruitflies.dat Hint: set sep = "".
1
Outcome Mapping
Table 1: Learning Outcome Mappings
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