Open Access
November, 1981 On the Robustness and Efficiency of Some Randomized Designs
Chien-Fu Wu
Ann. Statist. 9(6): 1168-1177 (November, 1981). DOI: 10.1214/aos/1176345634


A concept of model-robustness is defined in terms of the performance of the design in the presence of model violations. The robustness problem is discussed for several randomization procedures commonly used in experimental design situations. Among them, the balanced completely randomized design, the randomized complete block design and the randomized Latin square design are shown to be model-robust in their own settings. To compare different randomization procedures, we define a concept of efficiency which depends on the particular "pattern" of model violations. This concept, when applied to different designs, gives results which are consistent with the intuitive grounds on which the designs are suggested.


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Chien-Fu Wu. "On the Robustness and Efficiency of Some Randomized Designs." Ann. Statist. 9 (6) 1168 - 1177, November, 1981.


Published: November, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0474.62075
MathSciNet: MR630100
Digital Object Identifier: 10.1214/aos/1176345634

Primary: 62K99
Secondary: 62A05 , 62C20

Keywords: balanced completely randomized design , efficiency , Invariance , Latin square design , minimaxity , model robustness , randomized complete block design , systematic design

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 6 • November, 1981
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