# Finding archetypal patterns for binary questionnaires

arXiv: https://arxiv.org/abs/2003.00043 · HTML: https://mlsanity.com/paper/2003.00043/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 28 Feb 2020.

## Built on by (most cited first, 4 of 4)

- [A Survey on Archetypal Analysis](https://mlsanity.com/paper/2504.12392/) (2025)
- [Biarchetype analysis: simultaneous learning of observations and features based on extremes](https://mlsanity.com/paper/2311.11153/) (2023)
- [Archetypal Analysis for Binary Data](https://mlsanity.com/paper/2502.04172/) (2025)
- [Archetypal cases for questionnaires with nominal multiple choice questions](https://mlsanity.com/paper/2601.05392/) (2026)

## Abstract (arXiv)

Archetypal analysis is an exploratory tool that explains a set of observations as mixtures of pure (extreme) patterns. If the patterns are actual observations of the sample, we refer to them as archetypoids. For the first time, we propose to use archetypoid analysis for binary observations. This tool can contribute to the understanding of a binary data set, as in the multivariate case. We illustrate the advantages of the proposed methodology in a simulation study and two applications, one exploring objects (rows) and the other exploring items (columns). One is related to determining student skill set profiles and the other to describing item response functions.