Block Designs: A Randomization Approach: Volume II: Design / Edition 1

by Tadeusz Calinski, Sanpei Kageyama

Overview

This volume will deal with the constructions of block designs. Tadeusz Calin'ski taught statistics, biometry and experimental design at the Agricultural University of Poznan' from 1953 to 1988. He obtained the title of Professor of Natural Sciences in 1974. He was head of the Department of Mathematical and Statistical Methods from 1968 to 1984 and is now Professor Emeritus. In 1998 Professor Calin'ski was awarded the doctoral Degree honoris causa by the Agricultural University of Poznan'. He has published over 140 articles in scientific journals. He has served on the editorial boards of the Journal of Statistical Planning and Inference, Biometrics, and several Polish scientific journals. Sanpei Kageyama has been Professor of Statistics and Discrete Mathematics in the Department of Mathematics, Hiroshima University, Japan, since 1992. He has published over 240 articles in scientific journals. Professor Kageyama is a Foundation Fellow of the Institute of Combinatorics and its Applications, and a council member of the Mathematical Society of Japan. He has served on the editorial boards of the Journal of Japan Statistical Society, Utilitas Mathematics, and the Journal of Statistical Planning and Inference.

Product Details

ISBN-13:	9780387954707
Publisher:	Springer New York
Publication date:	10/31/2002
Series:	Lecture Notes in Statistics Series , #170
Edition description:	2003
Pages:	357
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

6 Constructional Approaches and Methods.- 6.0 Basic designs.- 6.0.1 BIB designs.- 6.0.2 PBIB designs.- 6.0.3 Resolvability.- 6.1 Dualization.- 6.2 Complementation.- 6.3 Supplementation.- 6.4 Juxtaposition.- 6.5 Merging.- 6.6 Patterned method.- 6.7 Methods of differences.- 6.8 Hadamard matrix.- 6.9 Finite geometry.- 6.10 Orthogonal Latin squares.- 7 Designs with Full Efficiency for Some Contrasts.- 7.1 General consideration.- 7.2 Orthogonal designs.- 7.3 Designs with two efficiency factors.- 7.3.1 Proper designs that are equireplicate.- 7.3.1.1 PBIB designs.- 7.3.1.2 Other than PBIB designs.- 7.3.2 Proper designs that are nonequireplicate.- 7.3.3 Nonproper designs that are equireplicate.- 7.3.4 Nonproper designs that are nonequireplicate.- 7.3.5 Illustration.- 7.4 Designs with three efficiency factors.- 7.4.1 Proper designs that are equireplicate.- 7.4.1.1 PBIB designs.- 7.4.1.2 Other than PBIB designs.- 7.4.2 Proper designs that are nonequireplicate.- 7.4.3 Nonproper designs that are equireplicate.- 7.4.4 Nonproper designs that are nonequireplicate.- 7.5 Designs with more efficiency factors.- 7.5.1 Proper designs that are equireplicate.- 7.5.2 Proper designs that are nonequireplicate.- 7.5.3 Nonproper designs that are equireplicate.- 7.5.4 Nonproper designs that are nonequireplicate.- 8 Designs with No Full Efficiency.- 8.1 General consideration.- 8.2 Designs with one efficiency factor.- 8.2.1 Proper designs.- 8.2.2 Nonproper designs.- 8.2.2.1 Equireplication.- 8.2.2.2 Nonequireplication.- 8.2.3 Illustration.- 8.3 Designs with two efficiency factors.- 8.3.1 Proper designs that are equireplicate.- 8.3.2 Proper designs that are nonequireplicate.- 8.3.3 Nonproper designs that are equireplicate.- 8.3.4 Nonproper designs that are nonequireplicate.- 8.4 Designs with three efficiency factors.- 8.4.1 Proper designs that are equireplicate.- 8.4.1.1 PBIB designs.- 8.4.1.2 Other than PBIB designs.- 8.4.2 Proper designs that are nonequireplicate.- 8.4.3 Nonproper designs that are equireplicate.- 8.4.4 Nonproper designs that are nonequireplicate.- 8.5 Designs with more efficiency factors.- 8.5.1 Proper designs that are equireplicate.- 8.5.2 Proper designs that are nonequireplicate.- 8.5.3 Nonproper designs that are equireplicate.- 8.5.4 Nonproper designs that are nonequireplicate.- 8.6 Tables.- Table 8.2.- Table 8.3.- Table 8.4.- 9 Resolvable Designs.- 9.1 General consideration.- 9.2 Designs with one efficiency factor.- 9.2.1 Proper designs.- 9.2.2 Nonproper designs.- 9.2.3 Illustration.- 9.3 Designs with two efficiency factors.- 9.3.1 Proper designs.- 9.3.2 Nonproper designs.- 9.4 Designs with three efficiency factors.- 9.4.1 Proper designs.- 9.4.2 Nonproper designs.- 9.5 Designs with more efficiency factors.- 9.5.1 Proper designs.- 9.5.2 Nonproper designs.- 9.6 Lattice designs.- 9.7 Tables.- Table 9.1.- Table 9.2, Table 9.3.- Table 9.4.- Table 9.5, Table 9.6.- Table 9.7.- 10 Special Designs.- 10.1 Variance-balanced designs.- 10.2 Resistant/Robust designs.- 10.3 Nonbinary designs.- 10.3.1 Merging.- 10.3.2 Patterned method.- 10.3.3 Supplementation.- 10.3.4 Supplementation and juxtaposition.- 10.4 Disconnected designs.- Appendix B. Finite Fields.- Appendix C. Finite Geometries.- C.1 Finite projective geometry.- C.2 Finite affine geometry.- C.3 Illustration.- Appendix D. Orthogonal Latin Squares.- References.- Author Index.