In: Statistics and Probability
Question #1
A) The government of Canada has collected data on the prevalence of 5 chronic diseases over time. The data of the 5 diseases was collected in percent prevalence of Canadians over age 20, over the years 2008, 2010, 2012, 2014. A psychologist is interested in knowing if prevalence rates of the diseases change over time. To examine this, they use a one-way repeated measures ANOVA. Sphericity is assumed.
Disease |
2008 |
2010 |
2012 |
2014 |
Cancer |
7.5 |
7.2 |
7.4 |
7.2 |
Asthma |
8.5 |
9.2 |
9.8 |
10.4 |
COPD |
9.0 |
9.3 |
9.5 |
9.6 |
Diabetes |
8.9 |
9.4 |
9.7 |
9.9 |
Heart disease |
8.3 |
8.2 |
8.0 |
7.9 |
N=5, K=4
B) Calculate eta squared (effect size) for the result in part A. (Act like f is significant even if it’s not)
C) Whether your omnibus test is significant or not significant, perform 2 different appropriate pos-hoc tests. (Act like f is significant even if it’s not)