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Characterisation of Certain Split‐Block Designs with a Control
Author(s) -
Mejza Iwona
Publication year - 1998
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199809)40:5<627::aid-bimj627>3.0.co;2-#
Subject(s) - block (permutation group theory) , block design , mathematics , treatment effect , control (management) , test (biology) , design of experiments , computer science , statistics , arithmetic , artificial intelligence , medicine , combinatorics , paleontology , biology , traditional medicine
The paper deals with an incomplete split‐block design in which one or two factors are split into two parts, the first one containing test treatments and the second one — a control treatment. The aim of the experiment carried out in such design is to compare the average of the test treatment effects with the control treatment effect and the test treatment effects with the control treatment effect individually. All those comparisons can be expressed by contrasts, elementary or basic ones. The aim of the paper is to characterise particular cases of the incomplete split‐block designs with respect to general balance and to efficiency factors of the design with respect to the contrasts. In the paper we restrict our attention to the designs in which each block has two rows or/and two columns only. These designs are suitable for certain agricultural experiments.