References
Bose, R. C. (1950).Least Squares Aspects of Analysis of Variance, Institute of Statistics, University of North Carolina.
Kageyama, S. (1974). Reduction of associate classes for block designs and related combinatorial arrangements,Hiroshima Math. J.,4, 527–618.
Kageyama, S. (1979). Relation between experimental designs and matrix theory: Applications,Bull. Faculty of School Education, Hiroshima University, Part II,2, to appear.
Kageyama, S. and Tsuji, T. (1977). Characterization of certain incomplete block designs,J. Statist. Planning Inf.,1, 151–161.
Kageyama, S. and Tsuji, T. (1979). Inequality for equireplicatedn-ary block designs with unequal sizes,J. Statist. Planning Inf., to appear.
Kageyama, S. and Tsuji, T. (1978). A condition for the validity of Fisher's inequality, submitted for publication.
Yamamoto, S. and Fujikoshi, Y. (1968). Two-way classification designs with unequal cell frequencies,J. Sci. Hiroshima Univ., Ser. A-I,32, 357–370.
Author information
Authors and Affiliations
About this article
Cite this article
Kageyama, S. Mathematical expression of an inequality for a block design. Ann Inst Stat Math 31, 293–298 (1979). https://doi.org/10.1007/BF02480285
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02480285