Optimal experimental designs for models with covariates

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• 作者：Das ; Kalyan ; Mandal ; Nripes K. ; Sinha ; Bikas K.
• 关键词：primary 62K05 ; secondary 62K10 ; Block designs ; Covariates’ ; models ; Information matrix ; Orthogonality ; Hadamard matrices ; Mutually orthogonal Latin squares
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2003
• 期刊代码：36_03783758
• 类别：mt
• 出版时间：July 1, 2003
• 卷：115
• 期：1
• 页码：273-285
• 文件大小：141 K

摘要

The model refers to a treatment design or to a block-treatment design in the presence of non-stochastic covariates, attached to each experimental unit. The problem is that of most efficient estimation of covariates parameters on one side and the treatment contrasts and/or block contrasts on the other side. If the components in the two sides are “orthogonal”, then we can invoke optimality [in some sense] separately in each side and thereby characterize optimal designs in such a set-up.