Construction of supersaturated split-plot designs
نویسندگان
چکیده
منابع مشابه
factorial and split-plot statistical designs
factorial and split-plot designs are two statistical procedures used to conduct agricultural field experiments. both designs are used frequently to quantify the main and interaction effects of two or more factors. however, split-plot design is recommended for specific situations depending on major and minor goals of the study, characteristics of the factors, and precision of statistical testing...
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A supersaturated design is a design whose run size is not large enough for estimating all the main effects. The goodness of multi-level supersaturated designs can be judged by the generalized minimum aberration criterion proposed by Xu and Wu [Ann. Statist. 29 (2001) 1066–1077]. A new lower bound is derived and general construction methods are proposed for multi-level supersaturated designs. In...
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Orthogonality or near-orthogonality is an important property in the design of experiments. Supersaturated designs are natural when we wish to investigate the main effects for a large number of factors but are restricted to a small number of runs. These supersaturated designs, by definition, cannot satisfy pairwise orthogonality of all the factor columns in the designmatrix. Hence, we need amean...
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T HIS provocative remark has been attributed to the famous industrial statistician, Cuthbert Daniel, by Box et al. (2005) in their well-known text on the design of experiments. Split-Plot experiments were invented by Fisher (1925) and their importance in industrial experimentation has been long recognized (Yates (1936)). It is also well known that many industrial experiments are fielded as spli...
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ژورنال
عنوان ژورنال: Statistical Papers
سال: 2018
ISSN: 0932-5026,1613-9798
DOI: 10.1007/s00362-018-1028-7