Vol: 43 Page: 59

Authors:
Katarzyna Ambroży-Deręgowska
Iwona Mejza

Title:
 A method of constructing incomplete split-split-plot designs supplemented by whole plot and subplot standards and their analysis

Language: English

Keywords:
general balance
partial efficiency balance
standard treatment
supplemented block design
split-split-plot design
stratum efficiency factors

Summary:
In the paper we consider a situation when split-split-plot experimental designs are incomplete due to both whole plot treatments and subplot treatments only. With respect to the sub-subplot treatments the presented designs are always orthogonal. Additionally one of the whole plot treatments and one of the subplot treatments are treated as standards.
To construct the final three-factor designs with nested treatment structures we can use two different or the same block designs from the class of orthogonally supplemented PEB block designs with at most (m+1)– efficiency classes. We present also algebraic and statistical properties of the generating designs and the resulting from the construction method split-split-plot designs as well as a numerical example.

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