On the costwise optimality of certain hierarchical and standard multiresponse models under the determinant criterion
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.
Year of publication: |
1971
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Authors: | Srivastava, J. N. ; McDonald, Lyman |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 1.1971, 1, p. 118-128
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Publisher: |
Elsevier |
Keywords: | Optimal multiresponse (multivariate) models general incomplete multiresponse models hierarchical multiresponse models optimal designs determinant criterion multivariate analysis of variance nonlinear programming |
Saved in:
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