On the efficiency of orthogonal treatment contrasts in multistratum incomplete split-split-plot designs constructed by square lattice designs

Journal Title: Colloquium Biometricum; Colloquium Biometricum (Online) - Year 2017, Vol 47, Issue

Abstract

We construct an incomplete split-split-plot design for three factor experiments. The method is based on a semi-Kronecker (Khatri-Rao) product of three matrices. We use two square lattice designs for whole plot treatments and subplot treatments and also a randomized complete block design for sub-subplot treatments. So in the paper we consider a situation when the split-split-plot design is incomplete with respect to two factors. The considered design is characterized with respect to general balance property. We give stratum efficiency factors useful in planning incomplete experimental designs and in the statistical analysis.

Authors and Affiliations

Katarzyna Ambroży-Deręgowska, Iwona Mejza

Keywords

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  • EP ID EP421269
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How To Cite

Katarzyna Ambroży-Deręgowska, Iwona Mejza (2017). On the efficiency of orthogonal treatment contrasts in multistratum incomplete split-split-plot designs constructed by square lattice designs. Colloquium Biometricum; Colloquium Biometricum (Online), 47(), 24-34. https://europub.co.uk./articles/-A-421269