Vol: 43 Page: 81

Authors:
Maria Kozłowska
Ryszard Walkowiak
Jan Kozłowski

Title:
 M-better type S block design for research into alternative methods of plant protection

Language: English

Keywords:
M-better design
type S block design

Summary:
The specific character of research into plant protection entails a need for studies on the planning and analysis of such experiments. We present here the properties of certain block designs. Type S block designs are considered for experiments in which there are ν levels of an experimental factor in addition to one control treatment.
We consider the case in which optimality can be achieved relative to the Loewner ordering among information matrices. We prove that within the class of Type S block designs, we can compare Fisher’s information matrices in the Loewner ordering. This fact enables the application of the theory of M-optimality or the theory of choice of an M-better design. We present these considerations in response to questions from plant protection researchers.

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