On a construction procedure for split-block-plot designs based on the Khatri–Rao product of incidence matrices-Reference-Cited by-同舟云学术

On a construction procedure for split-block-plot designs based on the Khatri–Rao product of incidence matrices

Published:2022-06-01 Issue:1 Volume:59 Page:55-63
ISSN:2199-577X
Container-title:Biometrical Letters
language:en
Short-container-title:

Author:

Ambroży-Deręgowska Katarzyna¹,Mejza Iwona¹

Affiliation:

1. Department of Mathematical and Statistical Methods , Poznań University of Life Sciences , Wojska Polskiego 28 , Poznań , Poland

Abstract

Summary The construction of incomplete split-block-plot (SBP) designs for three-factor experiments is investigated. A semi-Kronecker (Khatri–Rao) product of matrices is used in the construction procedure. With this method some generated designs are obtained where column treatments and subplot treatments are allocated in balanced square lattice designs, while row treatments are in a randomized complete block design. Experiments with an orthogonal block structure are considered. In this paper we consider designs which are generally balanced. This allows us to give the stratum efficiency factors for treatment combination contrasts in the proposed split-block-plot designs.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bile-2022-0005

Reference13 articles.

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