The efficiency and optimality characterization of certain six-Treatment incomplete-Block designs emanating from some quasi-Semi-Latin squares |
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Authors: | Polycarp E Chigbu |
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Institution: | Department of Statistics, University of Nigeria, Nsukka, Nigeria |
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Abstract: | Incomplete-block designs were constructed from three types of three-factor block-structured combinatorial designs which are not necessarily semi-Latin squares but whose treatments are ab initio arranged as in the semi-Latin square. The basic consideration for the construction involves the exploitation of the different block structures of the experimental units of the Quasi-semi-Latin Squares (QSLS) for the same treatments. All the emanating designs are found to be connected, only the designs in nine blocks are both variance- and efficiency-balanced and offer gain in efficiency but lead to about 46 percent loss of information. |
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Keywords: | Blocking efficiency-balanced eigenvalue treatment contrast variance-balanced |
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