International Research Journal of Agricultural Economics and Statistics

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Construction of Universally Optimal Design using 3n-Factorial Design


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1 School of Statistics, Devi Ahilya University, Indore (M.P.), India
     

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A method of constructing equireplicate variance balanced (VB) and efficiency balanced (EB) design with unequal block sizes is proposed using 3n-symmetrical factorial design with illustration. The method suggested here is based on deleting control as well as all the treatment combinations of second level and merging the first highest order linear effect with each first level main effects separately. Further optimality of the constructed design has been checked and found it to be universally optimal.

Keywords

Balanced Incomplete Block Design, Variance Balanced Design, Efficiency Balanced Design, Universally Optimal Design, 3n-Factorial Design.
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  • Construction of Universally Optimal Design using 3n-Factorial Design

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Authors

Awad Rashmi
School of Statistics, Devi Ahilya University, Indore (M.P.), India
Banerjee Shakti
School of Statistics, Devi Ahilya University, Indore (M.P.), India

Abstract


A method of constructing equireplicate variance balanced (VB) and efficiency balanced (EB) design with unequal block sizes is proposed using 3n-symmetrical factorial design with illustration. The method suggested here is based on deleting control as well as all the treatment combinations of second level and merging the first highest order linear effect with each first level main effects separately. Further optimality of the constructed design has been checked and found it to be universally optimal.

Keywords


Balanced Incomplete Block Design, Variance Balanced Design, Efficiency Balanced Design, Universally Optimal Design, 3n-Factorial Design.

References