Colloquium Biometricum (Online)
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Vol:
38
Page:
173
Authors:
Katarzyna Ambroży-Deręgowska
Danuta Kachlicka
Iwona Mejza
Title:
Split-plot x split-block analysis with control A treatments
Language:
English
Keywords:
augmented block design
control treatments
efficiency balance
split-plot x split-block design
test treatments
Summary:
A new class of split-plot x split-block (SPSB) designs for at least three factor experiments is introduced in the paper. The SPSB designs are the most widely used in agriculture research, especially for field trials. Basic farming practices, e.g. crop cultivars, herbicide applications, fertilization methods or tillage type are compared using demonstration strips on a farm field. In the paper we consider a situation when the mentioned above SPSB designs are augmented by a new group of A treatments (control treatments) that are to be replicated less than the test A treatments. The problem of the arrangement of such treatments in the experiment often appears. It is connected with the structure of experimental units and/or with a limited experimental material of some factor. A numerical example is presented to illustrate the method of the constructing the design and its analysis under mixed linear model.