# Optimal Paired Comparison Experiments for Second-Order Interactions

## TL;DR

This paper investigates the design of optimal paired comparison experiments that include second-order interactions, aiming to improve the efficiency of experiments involving multiple attributes with various levels.

## Contribution

It introduces a methodology for constructing optimal paired comparison designs considering second-order interactions with attributes of common levels.

## Key findings

- Developed a framework for optimal design construction.
- Provided theoretical results for design optimality.
- Enhanced understanding of interaction effects in paired comparisons.

## Abstract

In real life situations often paired comparisons involving alternatives of either full or partial profiles to mitigate cognitive burden are presented. For this situation the problem of finding optimal designs is considered in the presence of second-order interactions when all attributes have general common number of levels.