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E-optimal block designs under heteroscedastic model |
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| Authors: | Ashish Das V.K. Gupta Praggya Das |
| Affiliation: | 1. Division of Theoretical Statistics and Mathematics , Indian Statistical Institute , Calcutta, 700 035;2. Indian Agricultural Statistics Research Institute , New Delhi, 110 012;3. Department of Statistical Analysis and Computer Services , Reserve Bank of India, Bombay, 400 051 |
| Abstract: | This paper mainly studies the E-optimality of block designs under a general heteroscedastic setting. The C-matrix of a block design under a heteroscedastic setting is obtained by using generalized least squares. Some bounds for the smallest positive eigenvalue of C-matrix are obtained in some general classes of connected designs. Use of these bounds is then made to obtain certain E-optimal block designs in various classes of connected block designs. |
| Keywords: | Heteroscedastic model, Generalized least squares, E-optimatity, Balanced Incomplete Block DesignsHeteroscedastic model Generalized least squares E-optimatity Balanced Incomplete Block Designs |