Speaker: Nicholas Cavenagh
Affiliation: University of Waikato, New Zealand

Abstract

The q^k (full) factorial design with replication lambda is the multi-set consisting of lambda occurrences of each element of each q-ary vector of length k; we denote this by lambda times [q]^k. 

An m times n row-column factorial design q^k of strength t is an arrangement of the elements of lambda times [q]^k into an m times n array (which we say is of type I_k(m,n,q,t))  such that for each row (column), the set of vectors there in are the rows of an orthogonal array of size k, degree n (respectively, m), q levels and strength t. 

Such arrays have been used in practice in experimental design. 

In this context, for a row-column factorial design of strength t, all subsets of interactions of size at most t can be estimated without confounding by the row and column blocking factors.

In this talk we consider row-column factorial designs with strength t>= 2.   The constructions presented uses Hadamard matrices and linear algebra. 

 

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

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Venue

Physics Annexe (06)
Room: 
407 (or via Zoom: https://uqz.zoom.us/j/82270945864)