Neighbor Balanced Block Designs for Two Factors
نویسندگان
چکیده
منابع مشابه
An Algorithm to Generate Neighbor Balanced Binary Block Designs
Ahmed and Akhtar (2007) developed some algorithms to generate neighbor balanced designs. Here, a new algorithm is developed to generate circular neighbor balanced binary block designs for v = 2k in 2(v-1) blocks when blocks are well separated. A catalogue of circular neighbor balanced binary block designs for v up to 50 is presented.
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The purpose of this paper is to study optimality of circular neighborbalanced block designs when neighbor effects are present in the model. In the literature many optimality results are established for direct effects and neighbor effects separately, but few for total effects, that is, the sum of direct effect of treatment and relevant neighbor effects. We show that circular neighbor-balanced de...
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Proof. Assume the hypothesis and the falsity of either conclusion. Construct matrix A of 2x + 2 rows and 4x+4 columns, with entries + 1 and — 1. The first column contains exclusively +1, and the second column — 1. Set up one-to-one correspondences between rows of A and elements of D ; between columns other than the first two of A and blocks of D. Enter +1 if the element is contained in the bloc...
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ژورنال
عنوان ژورنال: Journal of Modern Applied Statistical Methods
سال: 2010
ISSN: 1538-9472
DOI: 10.22237/jmasm/1288584660