Binge Drinking Episodes in Past Month 0 1 2 or more 8 10 13 N = 15 8 12 14 G = 165 10 8 12 ΣX2 = 1909 9 9 15 10 11 16 M = 9 T = 45 M = 10 T = 50 M = 14 T = 70 SS = 4 SS = 10 SS = 10 a. Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means. b. Calculate η2 to measure the effect size for this study. c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Binge drinking on college campuses has been a hot topic in the popular media and in scholarly research. Flett, Goldstein, Wall, Hewitt, Wekerle, and Azzi (2008) report the results of a study relating perfectionism to binge drinking. In the study, students were classified into three groups based on the number of binge drinking episodes they experienced during the past month (0, 1, 2 or more). The students then completed a perfectionism questionnaire including one scale measuring parental criticism. One sample item is “I never felt that I could meet my parents’ standards.” Students rated their level of agreement with each item, and the total score was calculated for each student. The following results are similar to those obtained by the researchers.
|
Binge Drinking Episodes in Past Month |
|||
|
0 |
1 |
2 or more |
|
|
8 |
10 |
13 |
N = 15 |
|
8 |
12 |
14 |
G = 165 |
|
10 |
8 |
12 |
ΣX2 = 1909 |
|
9 |
9 |
15 |
|
|
10 |
11 |
16 |
|
|
M = 9 T = 45 |
M = 10 T = 50 |
M = 14 T = 70 |
|
|
SS = 4 |
SS = 10 |
SS = 10 |
|
a. Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means.
b. Calculate η2 to measure the effect size for this study.
c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.
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