منابع مشابه
Optimality of neighbor-balanced designs for total effects
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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In this paper, methods for constructing two dimensional nearest neighbour balanced (NNB) designs are considered. The methods given by Afsarinejad and Seeger (1988) are extended to give a new family of nearest neighbour balanced designs. Both nearest neighbour balanced designs with and without borders are constructed. A method of construction of a class of partial nearest neighbour balanced (PNN...
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Abstract: Experiments in agriculture, horticulture, and forestry often show neighbour effects, that is the response on a given plot is affected by the treatments on neighbouring plot as well as by the treatment applied to that plot. When treatments are varieties, neighbour effects may be caused by differences in height, root vigor, or germination date, especially on small plots. As a result, th...
متن کاملOptimality Aspects of Designs
1. Introduction Careful experimentation is an essential part of any problem of decision-making. An experiment is a device or means of getting an answer to the problem under consideration. In any sphere of scientific research, the general procedure that the experimenter has to adopt is to formulate the hypothesis according to the problem whose answer is to be sought for and then to verify the fo...
متن کاملBalanced Nested Designs and Balanced n-ary Designs
We introduce here two types of balanced nested designs (BND), which are called symmetric and pair-sum BNDs. In this paper, we give a construction for pair-sum BNDs of BIBDs from nested BIBDs and perpendicular arrays. We also give some direct constructions for pair-sum BNDs of BIBDs, based on the result obtained by Wilson (1972). By use of these constructions, we show some constructions for regu...
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ژورنال
عنوان ژورنال: Journal of Statistical Planning and Inference
سال: 1999
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(99)00004-x