John Stufken : Orthogonal Arrays: A Brief Overview

Posted by Ryan Martin , part of the Departmental Colloquium.

At

Oct. 25, 2013, 3 p.m.

In

SEO 636

Abstract

A certain combinatorial arrangement, now known as an orthogonal array, was introduced for use in statistics in the 1940's. The primary reason for its introduction was to guide the selection of level combinations in a fractional factorial experiment, and this remains an important application. Various criteria based on statistical properties have been introduced over the years to distinguish between different orthogonal arrays of the same size, and some authors have attempted to enumerate all non-isomorphic arrays of small sizes. Orthogonal arrays also possess interesting relationships to several other combinatorial arrangements, including error-correcting codes and Hadamard matrices. In this talk, we will present a brief overview of orthogonal arrays, including their existence, construction, and relationships to other arrangements.