论文信息 - Some Statistical Properties of Nested Block Designs

Some Statistical Properties of Nested Block Designs

Nested block designs in a wide sense are newly discussed from a statistical point of view. Some statistical properties of such designs are presented with some constructions. The corresponding properties of the usual nested block designs in the literature are included as a special case.

Sanpei Kageyama | Stanisław Mejza | S. Kageyama | S. Mejza

[1] A. K. Banerjee,et al. Construction of Nested Balanced Incomplete Block Designs , 1986 .

[2] D. A. Preece. Nested balanced incomplete block designs , 1967 .

[3] Purnendu Mohon Roy. A Note on the Resolvability of Balanced Incomplete Block Designs , 1952 .

[4] Sanpei Kageyama,et al. 22 Block designs: Their combinatorial and statistical properties , 1996, Design and analysis of experiments.

[5] E. Williams. Efficiency-Balanced Designs , 1975 .

[6] Peter W. M. John,et al. An Application of a Balanced Incomplete Block Design , 1961 .

[7] Walter T. Federer. Construction of Classes of Experimental Designs Using Transversals in Latin Squares and Hedayat's Sum Composition Method , 1970 .

[8] N. Puri,et al. Partially efficiency-balanced designs-II , 1977 .

[9] Aloke Dey,et al. Theory of block designs , 1986 .

[10] D. Raghavarao. Constructions and Combinatorial Problems in Design of Experiments , 1971 .

[11] S. Kageyama. On $\mu$-Resolvable and Affine $\mu$-Resolvable Balanced Incomplete Block Designs , 1973 .

[12] R. Mukerjee,et al. On resolvable and affine resolvable variance-balanced designs , 1985 .

[13] William G. Cochran,et al. Contributions to statistics , 1983 .

[14] S. Kageyama,et al. Optimal complete diallel crosses , 1994 .

[15] A. Nigam,et al. Characterizations and analysis of block designs , 1988 .

[16] S. Kageyama. RESOLVABILITY OF BLOCK DESIGNS , 1976 .