One-way ANOVA using linear contrasts:
A statistics professor was interested in the difference various study methods would have on students' performance on the midterm exam. He established four treatment groups: a) no study at all, b) individual study for 1 hour per day, c) individual study for 3 hours per day, and d) 4 hour group study session once per week. The students' scores on the midterm exam are listed below. Analyze the data using linear contrasts to make the following comparisons:
Compute an F-statistic for each linear construct and determine its significance. Also, state what questions each of these contrasts address. Please answer part A by hand and parts B and C using SPSS. Attach only the appropriate output (i.e., cut and paste only the relevant output tables needed to support your answers). Write a paragraph that summarizes your results.
|
No Study
|
Individual (1 hour)
|
Individual (3 hours)
|
Group Study
|
|
40
|
45
|
85
|
80
|
|
50
|
65
|
80
|
85
|
|
65
|
60
|
70
|
80
|
|
35
|
55
|
75
|
65
|
|
60
|
50
|
65
|
90
|
Compare groups A and B to group C.