Open Access
December 1996 Searching probabilities for nonzero effects in search designs for the noisy case
Teruhiro Shirakura, Tadashi Takahashi, Jagdish N. Srivastava
Ann. Statist. 24(6): 2560-2568 (December 1996). DOI: 10.1214/aos/1032181169


Consider search designs for identifying at most k nonzero effects under a search linear model. In the noisy case, the procedure for identifying these effects, which is based on the sum of squares due to error, is considered and its stochastic properties are studied. The errors of observations are assumed to be distributed independently with the normal distribution $N(0, \sigma^2)$ and, in particular, the case of $k = 1$ is considered. Some results on a searching probability under the procedure are presented. Probabilities with respect to search designs which are main effect plus one plans constructed in earlier works, are presented. A comparison between two search designs is given by using a criterion based on probability.


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Teruhiro Shirakura. Tadashi Takahashi. Jagdish N. Srivastava. "Searching probabilities for nonzero effects in search designs for the noisy case." Ann. Statist. 24 (6) 2560 - 2568, December 1996.


Published: December 1996
First available in Project Euclid: 16 September 2002

zbMATH: 0867.62067
MathSciNet: MR1425968
Digital Object Identifier: 10.1214/aos/1032181169

Primary: 62K15

Keywords: noisy case , normal distribution , Search designs , searching probability , sum of squares due to error

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 6 • December 1996
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