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In: Statistics and Probability

Question #1 A) The government of Canada has collected data on the prevalence of 5 chronic...

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)

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