Question

Consider again the Framingham Heart Study from problem 8, but suppose fasting glucose levels are categorized into two categories:

Glucose Levels

     -Diabetes (glucose >126),

    -Not diabetes (glucose < 126

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 have the same proportion of Diabetes?

b. What test would be used to assess whether the different categories of BMI have the same proportion of Diabetes?

c. What test would be used to assess whether the different categories of glucose levels have the same mean Age?

Answer 1

a) To assess whether the different sexes have the same proportion of Diabetes we use Test for equality of proportions .

b) to assess whether the different categories of BMI have the same proportion of Diabetes we use Test for equality of proportions.

c) to assess whether the different categories of glucose levels have the same mean Age we use Test for equality of means.

In all the above cases we use to compare between the two levels of glucose. If we want to compare variable between the same group of population we can use either Test for equality of proportions (if we have proportions) or Test for equality of means if we have means.