On Combining Information in Generally Balanced Nested Block Designs

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 Caliński , T. , Kageyama , S. ( 2000 ). Block Designs: A Randomization Approach, vol. I: Analysis . Lecture Notes in Statistics , vol. 150. New York : Springer .Crossref] , Google Scholar]), where the theory underlying the considered analysis is given.