Vol: 47 Page: 24

Authors:
Katarzyna Ambroży-Deręgowska
Iwona Mejza

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

Language: English

Keywords:
square lattice design
general balance
incomplete split-split-plot design
Khatri-Rao product of matrices
stratum efficiency factors

Summary:
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.

Display