Chapter 10. Linear Regression

  • 10.1 Introduction 191

  • 10.2 Synopsis 191

  • 10.3 Examples 194

  • 10.4 Details & Notes 209

10.1 Introduction

Regression analysis is used to analyze the relationship between a response, y, and a quantitative factor, x. Knowledge of this relationship can be important for predicting unmeasured responses from a known x-value.

Examples where regression analysis might be useful in clinical data analysis include the modeling of blood pressure response (y) on the dose of a new antihypertensive drug (x), cholesterol level (y) on patient's age (x), pain relief (y) on time after dosing with an anti-inflammatory treatment (x), or degree of wound healing (y) on the baseline surface area of a burn wound (x).

While a number of potential relationships ...

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