README.Rmd

---
output: github_document
bibliography: references.bib
nocite: '@*'
---

```{r, include = FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)
```

# ANOVA repository

<!-- badges: start -->
![Static Badge](https://img.shields.io/badge/R-language-blue)
![License](https://img.shields.io/github/license/vadimtyuryaev/ANOVA)
![Static Badge](https://img.shields.io/badge/LinkedIn-https%3A%2F%2Fwww.linkedin.com%2Fin%2Fvadimtyuryaev%2F-blue)
<!-- badges: end -->

This repository is dedicated to providing from-first-principles implementations
of one-way and two-way analysis of variance (ANOVA), as well as Tukey's Honest 
Significant Difference (HSD) test. This resource is particularly suited for 
graduate and advanced undergraduate students engaged in programs with a strong
emphasis on computational statistics, as well as industry practitioners with a
focus on the computational aspects of statistical analysis.

The LinkedIn articles cited below, along with the repository, cover the following topics:

- **One-Way ANOVA**: Exploration of its assumptions, the rationale underpinning 
its methodology, implementation from first principles, and an illustrative examples.

- **Two-Way ANOVA with Interaction**: A comprehensive implementation of a two-way 
ANOVA model including an interaction term, accompanied by a practical example.

- **Type I Error in Multiple Mean Comparisons**: Investigation of Type I error rates 
in the context of multiple comparisons, supported by computational examples.

- **Tukey's HSD Test**: A conceptual overview and from-scratch implementation of
Tukey's HSD test, along with a practical demonstration.

- **Supplementary Visualizations**: A collection of bonus visualization scripts
to support exploratory data analysis (EDA) preceding the ANOVA procedures.

# References