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:: Volume 10, Issue 2 (3-2017) ::
J. of Stat. Sci. 2017, 10(2): 261-280 Back to browse issues page
Optimal Circular Neighbour-Balanced Designs
Fateme Delshad Chermahini , Saeid Pooladsaz
Abstract:   (2401 Views)

Neighbour effects, that is the response on a given plot is affected by the treatments in neighbouring plot and the effect by the treatment applied to that plot. As a result, the estimate of treatment differences may deviate because of this interference from neighbouring plots. Neighbour-balanced designs ensure that the treatment comparisons will be as little affected by neighbour effects as possible. Circular neighbour-balanced design are divided into two groups. In the previouse researchs, method of cyclic shifts to construct CNB1 has been used, the authors used this method to construct CNB2. Some series of CNB2 are found by omputer programming using in MATLAB software and method of cyclic shifts. Then, some of these designs witch are universally optimal under models with one sided neighbour effect (M1) are identified.

Keywords: Neighbour effects, Neighbour balanced designs, Universally optimal, Circular blocks, Cyclic shifts
Full-Text [PDF 545 kb]   (658 Downloads)    
Type of Study: Applied | Subject: Applied Statistics
Received: 2014/07/21 | Accepted: 2015/12/20 | Published: 2017/03/12
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Delshad Chermahini F, Pooladsaz S. Optimal Circular Neighbour-Balanced Designs. J. of Stat. Sci.. 2017; 10 (2) :261-280
URL: http://jss.irstat.ir/article-1-310-en.html


Volume 10, Issue 2 (3-2017) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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