Question

Consider again the Framingham Heart Study from problem 8, but suppose fasting glucose levels are simply recorded as numbers and NOT categorized. The same risk factors are considered:

Risk Factors

     -Sex

     -Age

     -BMI (normal weight, overweight, obese)

     -Genetics

Test Choices

1. ANOVA

2. Chi-Square GOF

3. Chi-Square test for independence

4. Test for equality of means

5. Test for equality of proportions

6. Other

a. What test would be used to assess whether the different sexes (male and females) have the same mean Glucose Level?

b. What test would be used to assess whether the different categories of BMI have the same mean Glucose Level?

c. What test would be used to assess whether Age is related to Glucose Level?

Answer 1

For part a

We will use the Test for equality of means as we are only comparing two groups here (male and female) and we are comparing mean glucose levels here

For part b

Here as there are more than two categories of BMi and we are having null hypothesis that all have same mean glucose level, so here we will use the ANOVA here.

For part c.

Here we have to assess whether Age is related to Glucaose level so the most preferable test is  Chi-Square test for independence