Minimaxity of Randomized Optimal Designs

A strategy of randomizing a design that is L-optimal for an ideal model is shown to possess a minimax property under a larger, more realistic model. This generalizes a result of Li.

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Bibliographic Details
Published in:The Annals of statistics 1989-09, Vol.17 (3), p.1315-1324
Main Author: Hooper, Peter M.
Format: Article
Language:English
Subjects:
62K05
A-optimality
design robustness
Estimators
Exact sciences and technology
Experimental design
experimental randomization
Factorials
L-optimality
Mathematics
Minimax
Probability and statistics
Random allocation
Sciences and techniques of general use
Statistics
Unbiased estimators
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Description
Summary:A strategy of randomizing a design that is L-optimal for an ideal model is shown to possess a minimax property under a larger, more realistic model. This generalizes a result of Li.
ISSN:0090-5364
2168-8966
DOI:10.1214/aos/1176347271