Vol: 37 Page: 29

Authors:
Katarzyna Ambroży-Deręgowska
Iwona Mejza

Title:
 Construction of nested incomplete split-plot x split-block designs

Language: English

Keywords:
general balance
multistratum experiments
nested designs
resolvable incomplete block designs
split-plot x split-block designs
stratum efficiency factors

Summary:
Nested blocking structure of a design allows controlling several sources of local variation in an experiment. This fact we use in a designing and an analysing three factor experiments with some nested and crossed structure of units. The designs considered can be incomplete with respect to one, two or all the factors which levels are arranged in nested incomplete block designs, in particular in resolvable ones. Then resulting designs are called Nested Split-Plot x Split-Block (say NSPSB) designs. Performed randomization processes according to a stratification of the experimental units lead to eight strata in the analysis. One of them, called zero stratum, is connected with an estimation of an experimental mean only. In other strata analyses can be done. In the paper we present situations when comparisons among main effects and interaction effects of the factors are estimable in the different strata. The considerations are illustrated with examples of the construction of efficient equireplicate and nonequireplicate NSPSB designs.

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