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The interplay of optimality and combinatorics in experimental design
Author(s) -
Kiefer Jack C.
Publication year - 1981
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315292
Subject(s) - simple (philosophy) , inference , statistical inference , design of experiments , combinatorial design , mathematics , computer science , block (permutation group theory) , algorithm , combinatorics , mathematical optimization , statistics , artificial intelligence , philosophy , epistemology
The design of statistical experiments, as developed by R. A. Fisher and his followers, often used combinatorial structures that yielded simple calculation of estimates and/or symmetric variances and covariances. Examples are block designs with balance, regression experiments with equally spaced observations, etc. More recently, considerations of optimality (choosing a design that achieves most accurate inference in some sense) have sometimes justified the traditional designs, but have sometimes led to new combinatorial investigations. Illustrations are given.