# Blocked Two-Level Regular Designs with Individual Aliased Effect Number Pattern

**Authors:** Min Han, Shengli Zhao, Tao Sun

PMC · DOI: 10.3390/e28030340 · 2026-03-18

## TL;DR

This paper introduces a new pattern for blocked experimental designs and compares it with existing criteria.

## Contribution

The novel BI-AENP pattern and its algorithm for regular blocked designs are introduced.

## Key findings

- A new pattern called BI-AENP is proposed for regular blocked designs.
- An algorithm is developed to compute the BI-AENP.
- A catalogue of designs with 16-, 32-, and 64-run BI-AENP is provided.

## Abstract

This paper proposes a blocked individual aliased effect number pattern (BI-AENP) for regular blocked designs and establishes its relationships with the core patterns of several existing optimality criteria. We develop an algorithm to compute the BI-AENP. A catalogue of 16-, 32-, and 64-run BI-AENP 2n−k:2r designs is presented, together with comparisons with the minimum aberration and clear effects criteria.

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Source: https://tomesphere.com/paper/PMC13025214