Group Divisible Variance – Sum Third Order Rotatable Design through Balanced Incomplete Block Designs in Four Dimensions
N. Chebet *
Department of Statistics and Computer Science, Moi University, Kenya
M. Kosgei
Department of Statistics and Computer Science, Moi University, Kenya
G. Kerich
Department of Statistics and Computer Science, Moi University, Kenya
*Author to whom correspondence should be addressed.
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