Vol: 37 Page: 17

Authors:
Henryk Brzeskwiniewicz
Jolanta Krzyszkowska

Title:
 Three-factorial experiments generated by some BIB designs set up in split-plot designs

Language: English

Keywords:
balanced incomplete block designs
efficiency factors
Kronecker product of matrices
main and interaction effects of factors
split-plot 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. We consider two cases: In the first case, the levels of factor A are distributed on the whole plots and the combination levels of factors B and C are distributed on the subplots. In the second case, the combination levels of factors A and B are distributed on the whole plots and the levels of factor C are distributed on the subplots. In this paper, the efficiency factors for the main effects of factors and their interaction effects in the inter-block stratum, inter-whole plots stratum and inter-subplots stratum in both cases are given.

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