Vol: 36 Page: 23

Authors:
Henryk Brzeskwiniewicz
Jolanta Krzyszkowska

Title:
 Some split-plot designs for three-factorial experiments

Language: English

Keywords:
balanced incomplete block designs
efficiency factors
split-plot experiments
Kronecker product of matrices
main and interaction effects of factors
rectangular block designs
three-factorial experiments

Summary:
This paper deals with the construction of some three-factorial experiments carried out in incomplete split-plot designs in which the levels of factors occur as treatments in BIB designs. Efficiency factors for the main effects of factors and their interaction effects in the block stratum, wholeplots stratum and subplots stratum are given. Catalogue of these designs for 2<=r<=10 and 2<=k<=10 with v<=50 is included, where r is the number of treatment combinations replication, k is block size and v is the number of treatment combinations.