> ## Documentation Index
> Fetch the complete documentation index at: https://math.aboneda.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Introduction to Statistics

> Foundations of statistical reasoning and inference

# Statistics

Statistics is the science of collecting, analyzing, interpreting, and presenting data. It bridges probability theory with real-world data to draw meaningful conclusions.

## Key Topics

* **Descriptive Statistics** — mean, median, mode, variance, standard deviation
* **Inferential Statistics** — drawing conclusions about populations from samples
* **Hypothesis Testing** — null and alternative hypotheses, p-values, significance levels
* **Confidence Intervals** — estimating population parameters with uncertainty bounds
* **Regression Analysis** — modeling relationships between variables
* **ANOVA** — comparing means across multiple groups
* **Bayesian Statistics** — incorporating prior knowledge into inference
* **Non-parametric Methods** — distribution-free statistical tests