@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},
	}