Group Divisible Variance – Sum Third Order Rotatable Design through Balanced Incomplete Block Designs in Four Dimensions

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N. Chebet
M. Kosgei
G. Kerich

Abstract

In the study of rotatable designs, the variance of the estimated response at a point is a function of the distance of that point from a particular origin. Group divisible Rotatable Designs have been evolved by imposing conditions on the levels of factors in a rotatable design. In Group Divisible Third Order Rotatable Designs (GDTORD), the v-factors are split into two groups of p and (v-p) factors such that the variance of a response estimated at a point equidistant from the centre of the designs is a function of the distances  and from a suitable origin for each group respectively. Where  and   denotes the distances of the projection of the points in each of the group from a suitable origin respectively. In this paper, a four dimensional Group Divisible Variance-Sum Third Order Rotatable Design is constructed using a balanced incomplete block design.

 

Keywords:
Third order rotatable designs, BIBD, group divisible third order rotatable designs, group divisible variance- sum third order rotatable designs

Article Details

How to Cite
Chebet, N., Kosgei, M., & Kerich, G. (2018). Group Divisible Variance – Sum Third Order Rotatable Design through Balanced Incomplete Block Designs in Four Dimensions. Asian Journal of Probability and Statistics, 1(2), 1-9. https://doi.org/10.9734/ajpas/2018/v1i224529
Section
Original Research Article