On theE-optimality of certain asymmetrical designs under mixed effects model |
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Authors: | S Bagchi |
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Institution: | 1. Computer Science Unit, Indian Statistical Institute, 203, B.T. Road, 700035, Calcutta, India 2. Mukhopadhyay
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Abstract: | TheE-optimality of the following designs within the class of all proper and connected designs with givenb, k andv under mixed effects model are established. - A group divisible design with λ2 = λ1 + 1.
- A group divisible design with λ1 = λ2 + 1 and group size 2.
- A linked block design.
- The dual of design (i)
- The dual of design (ii).
All these designs are known to satisfy the same optimality property under fixed effects model whenk<v, while the design (i) is known to beE-optimal even whenk>v. From the results proved here, theE-optimality of designs (ii, (iii), (iv) and (v) under fixed effects model in the situation whenk >v also follows. |
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