Question

How does gender and occupational prestige affect credibility? Graduate students in a public health program are asked to rate the strength of a paper about the health risks of childhood obesity. In reality, all student raters are given the same paper, but the name and degree associated with the author are changed. The student raters are randomly assigned to one group from the following name ("John Lake", "Joan Lake") and degree (M.D., R.N., Ph.D.) combination. The raters score the paper from 1 to 5 on clarity, strength of argument, and thoroughness. The total scores (the sum of the three scores) are given in the table below. What can be concluded with ? = 0.01?

John Lake / M.D.	John Lake / R.N.	John Lake / Ph.D.	Joan Lake / M.D.	Joan Lake / R.N.	Joan Lake / Ph.D.
12 15 13 15 14	15 16 12 13 13	10 8 13 12 9	15 10 12 6 12	10 7 8 10 6	11 11 12 8 8

a) What is the appropriate test statistic?
---Select--- na, one-way ANOVA, within-subjects ANOVA, OR two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Name: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0
Degree: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0
Interaction: p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Name: ?² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Degree: ?² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: ?² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

-There is a name difference in the total scores OR.There is no name difference in the total scores.    

-There is a degree difference in the total scores.OR There is no degree difference in the total scores.    

-There is a name by degree interaction in the total scores. OR There is no name by degree interaction in the total scores.    

Answer 1

A) since I want to compare the mean total score between the three types of degree M.D., R.N., Ph.D., it is sufficient to use one-way ANOVA.

B) Degree: p-value =  0.212; Decision: Fail to reject H0

Since the P-value is greater than Alpha 0.01, the null hypothesis is not rejected at 1% level of significance.

C) Degree: n² = 0.1084 ; trivial effect

Effect size = treatment sum of squares/total sum of squares = 24.8/228.8 = 0.1084

D) -There is a degree difference in the total scores.OR There is no degree difference in the total scores.