Linear Regression Modelling for the Framingham Heart Study

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Linear Regression Modelling for the Framingham
Heart Study

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Table of Contents
Introduction................................................................................................................................3
Analysis and Findings................................................................................................................3
Data Cleaning.........................................................................................................................3
Descriptive Summary.............................................................................................................3
One-Way ANOVA.................................................................................................................4
Regression Analysis with ANOVA.......................................................................................7
Discussion..................................................................................................................................8
Conclusion..................................................................................................................................9
References................................................................................................................................10

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Introduction
A statistical study is designed to test the influence of age, sex, systolic blood pressure, total
serum cholesterol, current smoker, and diabetes on BMI of heart patients. The difference
between mean BMI of the two genders, smokers and non-smokers, and diabetic and non-
diabetic adults has been analysed using the Framingham Heart Study dataset. Adults aged 32
years to 81 years are selected at random and invited to participate in the study. Each
participant's systolic blood pressure and total cholesterol level were measured. Information
about their current smoking status and diabetic standing were also collected.
Analysis and Findings
Data Cleaning
The Framingham Heart Study dataset contains information about 11627 patients. Among
which 409 missing data on total cholesterol and 52 missing data about BMI were identified.
After removal of missing values, 11173 valid responses were incorporated in the present
study.
Descriptive Summary
Among 11173 participants 4898 were male patients. Average age of the participants was
54.66 years (SD = 9.54) with average systolic blood pressure of 136.06 (SD = 22.66), and
mean BMI of 25.85 (SD = 4.08). In the sample, 6331 current smokers and 498 diabetic
patients were present. Median age was 54 years, and was slightly greater than average age
implying slight right skewness in the distribution of age. Similarly, median systolic blood
pressure was higher than the average value implying a positive skewness. Median BMI of