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