LaTeX for Statistics: Writing Distributions, Tests, and Formulas

Statistics relies heavily on precise mathematical notation. This guide covers the most common statistical formulas you'll encounter.

Basic Statistical Notation

Sample mean: `\bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i`. Population mean: \\mu. Standard deviation: \\sigma or s.

Probability Distributions

Normal distribution: X \\sim N(\\mu, \\sigma^2). Binomial: X \\sim \\text{Bin}(n, p). Poisson: X \\sim \\text{Pois}(\\lambda).

Hypothesis Testing

t-statistic: t = \\frac{\\bar{x} - \\mu_0}{s / \\sqrt{n}}. Chi-square: \\chi^2 = \\sum \\frac{(O_i - E_i)^2}{E_i}.

Regression

Linear regression: y_i = \\beta_0 + \\beta_1 x_i + \\epsilon_i. R²: R^2 = 1 - \\frac{SS_{\\text{res}}}{SS_{\\text{tot}}}.