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

Authors
  • Ambroży-Deręgowska, Katarzyna
  • Mejza, Iwona
Type
Published Article
Journal
Biometrical Letters
Publisher
Sciendo
Publication Date
Jun 01, 2022
Volume
59
Issue
1
Pages
55–63
Identifiers
DOI: 10.2478/bile-2022-0005
Source
De Gruyter
Keywords
License
Green

Abstract

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.

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