Vol: 36 Page: 7

Authors:
Henryk Brzeskwiniewicz
Jolanta Krzyszkowska

Title:
 Some group divisible block designs and their application to two-factorial experiments

Language: English

Keywords:
balanced block designs
balanced matrices
basic treatment constrasts
group divisible block designs
Kronecker product of matrices
treatment contrasts
two-factorial experiments

Summary:
This paper deals with the planning of experiments in group divisible block designs (GD). Some methods of GD construction which can be applied to two-factorial experiments are given. Incidence matrices of these designs can be obtained from Kronecker product generalization of selected matrices. Attention is called to statistical properties of these designs connected with the estimation of basic treatment contrasts. Catalogue of GD designs for 2<=r<=15, 2<=k<=15 where r is the number of treatment replication and k is a block size is included.