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On the costwise optimality of certain hierarchical and standard multiresponse models under the determinant criterion

J. N. Srivastava and Lyman McDonald

Journal of Multivariate Analysis, 1971, vol. 1, issue 1, 118-128

Abstract: The class of general incomplete multiresponse (randomized block) models, in which it is not necessary for all responses to be measured on every experimental unit, is considered. For p = 2 responses, the optimum model is obtained under a reasonable cost constraint and the determinant criterion. The optimum model will belong to the subclass of hierarchical multiresponse models but does not always reduce to the standard multiresponse model. For general p, similar results are obtained under restrictions on the correlations between the responses or on the costs of measuring the responses.

Keywords: Optimal; multiresponse; (multivariate); models; general; incomplete; multiresponse; models; hierarchical; multiresponse; models; optimal; designs; determinant; criterion; multivariate; analysis; of; variance; nonlinear; programming (search for similar items in EconPapers)
Date: 1971
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