Analysis 1: The Bureau of Labor
Statistics collects data on earnings of workers in the US classified according
to various characteristics. This data contains the weekly earnings in dollars
of 30 men and 30 women in two age groups (16-19, 20-24) who were working
full-time in the first quarter of 2013.
Perform an Analysis of Variance
(ANOVA) on this data set to determine if age and gender affect earnings.
a. Results (in proper
statistical reporting format; ie F=xx.xx, MSE=xx.xx, p=.xxx)
Main effect(age)
Main effect(gender)
Interaction effect
b. In one short, succinct
paragraph, briefly state your findings. What is the pattern you see here? What
is the optimal combination of age and gender (in other words, who tends to make
the most money?)
c. Create a table containing
the means of all conditions.
Fill in the graphs below to
represent:
a.
The pattern you observed in your data
analysis.
b.
A possible pattern reflecting no main effect of age, a main effect of
gender wherein females earned less than males, and no interaction effect.
Analysis 2: A company that
manufactures blenders wants to compare three different factory lighting
conditions for its employees. Each of the individuals’ shifts is 8 hours long,
and can be arranged as one 8-hour block of work or two 4-hour blocks with a
break in between. 30 employees are chosen as the participants for this study.
Half of the individuals are asked to work for an 8-hour block, while the other
half works for two 4-hour blocks with a break. All individuals in each
condition are subject to 3 different lighting conditions over the course of
three days (Day 1=Simulated Sunlight, Day 2= Fluorescent Light, and Day 3 =
Incandescent Light). On each day, each individual’s average length of time
taken to assemble exactly one blender is measured (minutes). Perform an
Analysis of Variance (ANOVA) to determine the effect of shift-type and lighting
condition.
a.
Results (in proper statistical reporting format; ie F=xx.xx, MSE=xx.xx, p=.xxx)
Main effect(lighting)
b.
In one short, succinct paragraph, briefly state your findings. What is
the pattern you see here? What is the optimal combination of shift-type and
lighting? (in other words, which condition results in the quickest assembly time?)
c.
Create a table containing the means of all conditions.
Fill in the graphs below to
represent:
a. The pattern you observed in
your data analysis.
b.
A possible pattern reflecting no main effect of shift type; a main
effect of lighting wherein the sunlight condition was better than both
fluorescent and incandescent light (which were not different from one another)
and no interaction effect.
Analysis 3: To measure the effect
of both exercise and alcohol intake on blood sugar, a researcher asks 15
participants to record their blood sugar levels at the end of a week during
which they had not consumed any alcohol. Each participant then recorded their
blood sugar at the end of the following week, during which they consumed one
serving of alcohol each day. The same procedure was followed for the next two
weeks, except participants were required to exercise each day for exactly one
hour. Perform an Analysis of Variance to determine whether there is an effect
of exercise and alcohol intake on blood sugar (measured in millimoles/liter).
a. Results (in proper
statistical reporting format; ie F=xx.xx, MSE=xx.xx, p=.xxx)
Main effect(alcohol)
Main effect(exercise) Interaction effect
(alcohol*exercise)
b. In one short, succinct
paragraph, briefly state your findings. What is the pattern you see here? What
is the optimal combination of exercise level and alcohol consumption? (in other
words, which condition results in the lowest blood sugar?)
c. Create a table containing
the means of all conditions.
Fill in the graphs below to
represent:
a. The pattern you observed in
your data analysis.
b.
A possible pattern reflecting an interaction wherein there is no effect
of exercise for the alcohol group, and an effect of exercise (with exercise
leading to lower blood sugar than no exercise) for only the no alcohol group.
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