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Efficient block designs for dependent observations: A computer aided search

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Title Efficient block designs for dependent observations: A computer aided search
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Creator Subrata Kumar Satpati
Rajender Parsad
V.K. Gupta
 
Subject A-efficiency
Circular block designs
Computer aided search
Correlated observations
D-efficiency
Rectangular block designs
 
Description Not Available
In this article, the exchange and interchange algorithm of Zergaw (1989, Austral. J. Statist. 31 : 333 – 342 ) and Martin and Eccleston (1992, Biometrika 79 : 426 – 430) have been modified and used for searching efficient block designs for making all possible pairwise treatment comparisons when observations are dependent. The lower bounds to the A- and D-efficiencies of the designs in a given class of the designs have been obtained for correlated observation structure and the procedure of computing lower bounds to A- and D-efficiencies has been incorporated in the algorithm. The algorithm has been translated into a computer program using Microsoft Visual C++. Using this program, a search for efficient designs for making all possible pairwise treatment comparisons has been made for v ≤ 10, b ≤ 33, k ≤ 10 such that bk ≤ 100 and v > k. The block designs considered are usual block designs (rectangular block designs) and circular block designs. Nearest neighbor (NN), autoregressive of order 1 (AR(1)) correlation structures are studied. The ranges of correlation coefficients for different correlation structures investigated are |ρ|≤0.50 for NN correlation structure in rectangular blocks, |ρ|≤0.45 for NN correlation structure in circular blocks, and |ρ|≤0.95 for AR(1) correlation structure. For these ranges, the matrix of correlation coefficients among observations within a block is positive definite. Robustness aspects of designs that are efficient for a given value of correlation have been investigated against other values of correlation coefficients. Robustness aspects of designs that are efficient for independent observations have also been studied for experimental situations with dependent observations.
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Date 2017-09-13T04:58:08Z
2017-09-13T04:58:08Z
2007-04
 
Type Research Paper
 
Identifier Satpati, S.K., Parsad, Rajender and Gupta, V.K. (2007). Efficient block designs for dependent observations: A computer aided search. Communications-in-Statistics: Theory & Methods, 36(6), 1187-1223.
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http://krishi.icar.gov.in/jspui/handle/123456789/5278
 
Language English
 
Relation Not Available;
 
Publisher Taylor and Francis Online