A SIMPLE APPROACH TO CONFOUNDING AND FRACTIONAL REPLICATION IN FACTORIAL EXPERIMENTS
成果类型：
Article
署名作者：
KEMPTHORNE, O
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/34.3-4.255
发表日期：
1947
页码：
255272
关键词：
摘要：
A general approach to factorial designs of the type [rho][image] is given, in which simple effects and interactions are obtained by comparisons of totals for plots corresponding to lattice points on sets of parallel hy-perplanes in n-space. The method of attack is applied to confounding and partial replication, considered as different aspects of the same process. Confounding is discussed for 33, 34 and 35 systems; fractional replication, for 2[image] and 3[image] systems. Examples are given of fractional replications with confounding and high-order fractional designs discussed. It is suggested that these latter designs are useful when it is expected that only 1 or 2 of a large number of factors may have significant effect.