Question

Problem 8: The Framingham Heart Study was a longitudinal cohort study of 5000+ men and women. One outcome of interest was fasting glucose levels. Glucose levels were categorized into three different categories:

Glucose Levels

     -Diabetes (glucose >126),

    -Impaired Fasting Glucose (glucose 100-125),

    -Normal Glucose

Several possible risk factors were also recorded:

Risk Factors

     -Sex

     -Age

     -BMI (normal weight, overweight, obese)

     -Genetics

To determine if each possible risk factor is related to glucose levels,researchers need to use an appropriate hypothesis test.

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 female) have the same proportions of the different glucose levels?

b. What test would be used to assess whether the different glucose levels have the same mean age?

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

Answer 1

a. What test would be used to assess whether the different sexes(male and female) have the same proportions of the different glucose levels?

1.     ANOVA

Explanation:

Here, Independent Variable: 1 No. : Nominal Variable: Different sexes (males and female). Dependent Variable: 1 No. different glucose levels: Ratio Variable

b. What test would be used to assess whether the different glucose levels have the same mean age?

4.    Test for equality of means

Explanation:

Here, Independent Variable: 1 No. Ratio Variable. the different glucose levels. Dependent Variable: 1 No. Age. Ratio Variable

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

5. Test for equality of proportions

Explanation:

Here, Independent Variable: 1 No. Categorical Variable. different categories of BMI . Dependent Variable: 1 No. proportions of the different glucose levels . Ratio Variable