On Combining Information in Generally Balanced Nested Block Designs

Abstract

Explicit formulae for analyzing an experiment carried out in a nested block design having the general balance property of some desirable pattern are presented. They follow from a randomization-derived mixed model, decomposed into stratum submodels. Attention is confined here to the combined analysis allowing the information from different strata to be joined together. This article is an extension of some results presented in Caliński and Kageyama (2000), where the theory underlying the considered analysis is given.

Keywords:

• Combined analysis
• General balance
• Nested block design
• Randomization model

2000 Mathematics Subject Classification:

• Primary 62K10
• Secondary 62P10

Acknowledgments

The authors are grateful to Prof. Jan Kozł owski from the Institute of Plant Protection - National Research Institute in Poznań, for making data for the presented example available. Both authors thank the editors and two referees for their helpful comments and suggestions.