Colloquium Biometricum (Online)
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Vol:
34
Page:
27
Authors:
Katarzyna Ambroży-Deręgowska
Iwona Mejza
Title:
Incomplete split-plotxsplit-block designs based on Kronecker type products
Language:
English
Keywords:
balanced square lattice design
efficiency
general balance
split-plot x split-block design
Kronecker product
resolvability
semi-Kronecker (Khari-Rao) product of matrices
Summary:
In the paper either an ordinary Kronecker product or a semi-Kronecker (Khatri-Rao) product are taken into account in construction procedures of incomplete split-plot x split-block designs for three factor experiments. With both methods some generated designs are obtained when levels of each factor are allocated to a balanced square lattice design. A comparison of the methods of constructing the designs with respect to stratum efficiency factors for some contrasts of treatment parameters and with respect to a size of an experiment is given.