Probability & Statistical Inference · Descriptive Statistics & EDA

Descriptive Statistics: Association, Correlation and Simple Linear Regression

Public introduction · full guide in Eikos

Introduction

What this guide covers

An analytical treatise on stochastic and functional relationships in bivariate data, from contingency tables to least squares derivations.

Overview

Topics covered

  • Introduction
  • Association in Bivariate Data
  • Qualitative Variables: Contingency Tables and Association Measures
  • Pearson Association Measures
  • Quantitative Variables: Covariance
  • Correlation Analysis

Related concepts

Main connections

  • Linear regression
  • Residual analysis & diagnostics
  • Variance & standard deviation
  • Mean & expected value
  • Conditional probability & independence
  • Chi-squared tests & goodness of fit

Compatible notation

Mathematical sample in LaTeX

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

fj|i=P(Y=Bj|X=Ai)=nijni⋅
View LaTeX sourcef_{j|i} = P(Y = B_j | X = A_i) = \frac{n_{ij}}{n_{i\cdot}}