Answered: The Framingham Heart Study was a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. Use Table 7-50 on page 161 of the textbook to select the correct test from the gray box above.

What test would be used to assess whether the different sexes (male and female) have the same proportions of the different glucose levels?
What test would be used to assess whether the different glucose levels have the same mean age?
What test would be used to assess whether the different categories of BMI have the same proportions of the different glucose levels?

Test Choices

ANOVA
Chi-Square GOF
Chi-Square test for independence
Test for equality of means
Test for equality of proportions
Other

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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