caa a22 4500 475793412 CHVBK 20180406123716.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s001840000073 doi (NATIONALLICENCE)springer-10.1007/s001840000073 Comparison of test vs. control treatments using distance optimality criterion [Elektronische Daten] [Nripes K. Mandal, Kirti R. Shah, Bikas K. Sinha] Abstract.: We consider the problem of comparison of one test treatment (τ0) with a set of v control treatments (τ1, τ2, ..., τv) using distance optimality [DS-optimality] criterion introduced by Sinha (1970) in some treatment-connected design settings. It turns out that the nature of DS-optimal designs is quite similar to that for the usual A−, D− and E− optimality criteria. However, the optimality problem is quite complicated in most situations. First we deal with the CRD model and derive DS-optimal allocations for a given set of treatments. The results are almost identical to the A-optimal allocations for such problems. Then we consider a block design set-up and examine the nature of DS-optimal designs. In the process, we introduce the method of weighted coverage probability and maximize the resulting expression to obtain an optimal design. Springer-Verlag Berlin Heidelberg, 2000 Key words: Okamoto Lemma, Weighted Coverage Probabilities, Completely Randomized Design, Block Designs, Complete Classes of Designs nationallicence Mandal Nripes K. Department of Statistics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700019, India, IN aut Shah Kirti R. Department of Statistics and Actuarial Science, University of Waterloo, 200 University Av. West, Waterloo, N2L 3G1, Canada (e-mail: kshah@math.uwaterloo.ca), CA aut Sinha Bikas K. Stat-Math Division, Indian Statistical Institute, 203, B.T. Road, Calcutta 700035, India, IN aut https://doi.org/10.1007/s001840000073 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000073 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mandal Nripes K. Department of Statistics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700019, India, IN aut NATIONALLICENCE 700 1- Shah Kirti R. Department of Statistics and Actuarial Science, University of Waterloo, 200 University Av. West, Waterloo, N2L 3G1, Canada (e-mail: kshah@math.uwaterloo.ca), CA aut NATIONALLICENCE 700 1- Sinha Bikas K. Stat-Math Division, Indian Statistical Institute, 203, B.T. Road, Calcutta 700035, India, IN aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer