@article{(Open Science Index):https://publications.waset.org/pdf/10005831, title = {On the Optimality of Blocked Main Effects Plans}, author = {Rita SahaRay and Ganesh Dutta}, country = {}, institution = {}, abstract = {In this article, experimental situations are considered where a main effects plan is to be used to study m two-level factors using n runs which are partitioned into b blocks, not necessarily of same size. Assuming the block sizes to be even for all blocks, for the case n ≡ 2 (mod 4), optimal designs are obtained with respect to type 1 and type 2 optimality criteria in the class of designs providing estimation of all main effects orthogonal to the block effects. In practice, such orthogonal estimation of main effects is often a desirable condition. In the wider class of all available m two level even sized blocked main effects plans, where the factors do not occur at high and low levels equally often in each block, E-optimal designs are also characterized. Simple construction methods based on Hadamard matrices and Kronecker product for these optimal designs are presented.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {11}, year = {2016}, pages = {583 - 586}, ee = {https://publications.waset.org/pdf/10005831}, url = {https://publications.waset.org/vol/119}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 119, 2016}, }