What is a design? How should we classify them?

被引：0
作者：
R. A. Bailey
Peter J. Cameron
机构：
[1] University of London,School of Mathematical Sciences, Queen Mary
来源：
Designs, Codes and Cryptography | 2007年 / 44卷
关键词：
Block design; Incidence; Multiset; Partition; Geometry; Chamber system; 05B99; 05B05; 62K99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Design theory crosses the boundary between mathematics and statistics, and includes a wide range of disparate types of design. In this paper we present a classification scheme which aims to include as many important types as possible, based on a balance among concept, representation and use.
引用
收藏
页码：223 / 238
页数：15
相关论文
共 30 条
[1]  
Bailey RA(1999)Choosing designs for nested blocks Listy Biometryczne 36 85-126
[2]  
Bailey RA(2006)Designs on the Web Discrete Math 306 3014-3027
[3]  
Cameron PJ(1986)Rectangular lattice designs: efficiency factors and analysis Ann Stat 14 874-895
[4]  
Dobcsányi P(1979)Diagrams for geometries and groups J. Combin Theory (A) 27 121-151
[5]  
Morgan JP(1975)Connectedness and orthogonality in multi-factor designs Biometrika 62 341-345
[6]  
Soicher LH(1942)The theory of confounding in factorial experiments in relation to the theory of groups Ann Eugen 11 341-353
[7]  
Bailey RA(2006)Large sets of Discrete Math 306 2993-3004
[8]  
Speed TP(2002)-designs through partitionable sets: a survey J Combin Designs 10 335-359
[9]  
Buekenhout F(2005)Lotto design tables Designs, Codes Cryptogr 35 21-45
[10]  
Eccleston JA(2001)Double arrays, triple arrays and balanced grids Discrete Math 231 351-389
123