| dc.description.abstract | This thesis deals with the fifth order rotatable
designs. Many authors have made several contributions
to the idea of rotatable designs. Box [1J gave the
concept of rotatability and also rotatable designs
of first order. Box and Hunter (4] worked out second
order rotatable designs. Gardiner, Grandage and
Hader [16J worked out the moment and non-singularity
conditions for a set of experimental points to form
a third order rotatable design. Some rotatable designs
of second and third orders have been obtained by Dose
and Draper [7J and Norman Draper [12J, [13J, [14J
respectively.
In Chapter 1, basic ideas in response surface
designs have been ,given. It also briefly describes
some relevant work that has been done by various
author&, especially is first, second, third and fourth
order response B-surface design~. The chapter also sets
out notations which are used in the subsequent
development of the theory in ~t-h8 later chapters.
In Chapter 2, the moment conditions for a set of
experiment points to form a fifth order arrangement
are obtained. These are given in section 2.5. To obtain
these conditions, a few known results and definitions
have been given_ in the first sections , This is done
for clarity and easy reference. | en |
