E-optimal minimally connected block designs under mixed effects model |
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| Authors: | Prof R Mukerjee Prof K R Shah Prof B K Sinha |
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| Institution: | (1) Indian Institute of Management, Post Box No. 16757, 700027 Calcutta, India;(2) Department of Statistics and Actuarial Science, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(3) Stat-Math Division, Indian Statistical Institute, 203 B.T. Road, 700035 Calcutta, India |
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| Abstract: | Summary Considering a mixed effects model in a minimally connected block design set-up, we obtain designs which areE-optimal, uniformly in the ratio of the variance components, for inference on varietal contrasts which constitute the fixed
effects in the model.
Work supported by the Centre for Management and Development Studies, Indian Institute of Management Calcutta.
Work supported by the National Sciences and Engineering Research Council of Canada under grant number 7272 and partially done
while visiting Indian Statistical Institute, Calcutta, India. |
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| Keywords: | Mixed effects model optimal designs saturated designs |
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