Time Series, Health & Evidence Synthesis · Biostatistics & Clinical Trials

Biostatistics · Categorical Data Analysis in Health

Public introduction · full guide in Eikos

Introduction

What this guide covers

In clinical, epidemiological, and public health research, most outcomes of interest are not continuous quantitative variables. Diagnosing a pathology, a patient's death, complete tumor remission, or the degree of satisfaction with a treatment are inherently categorical constructs. The rigorous statistical analysis of these data requires a formal probabilistic framework.

Overview

Topics covered

  • Introduction
  • Analysis of categorical health data
  • Nature of categorical data in clinical research
  • Measurement scales and biomedical classification
  • Underlying probabilistic models
  • Measures of association and strength of effect on health

Related concepts

Main connections

  • Logistic regression
  • Epidemiological measures & risk ratios
  • Chi-squared tests & goodness of fit
  • Poisson distribution
  • Maximum likelihood estimation
  • Diagnostic test evaluation & ROC

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

ℙ(Y=y)=(ny)py(1−p)n−y,y∈{0,1,…,n}
View LaTeX source\P(Y = y) = \binom{n}{y} p^y (1-p)^{n-y}, \qquad y \in \{0, 1, \dots, n\}