Modified non-sequential third order rotatable designs constructed using Pairwise Balanced Design

Abstract

The technique of fitting a response surface design is useful in modelling of experimental designs. Response surface is used in situations where the response of interest is influenced by several experimental variables. The objective of fitting a response surface design is to reduce cost of experimentation and to obtain optimal designs. The property of rotatability is a desirable quantity of experimental design and requires the variance of the fitted design to be constant on circles or spheres about the centre of the design. In this article, a construction technique of fitting modified non-sequential third order rotatable design (TORD) using Pairwise Balanced Design (PBD) is presented. The variance function of a third order response surface design and the properties of Pairwise Balanced Design are utilised for the construction.

KEYWORDS:

• Rotatable designs
• third order design
• sequential
• pairwise balanced design

Subject classification codes:

• 62k20
• 62k05

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Haron Mutai Ng’eno

Haron Mutai Ng'eno is a PHD student at MOI University. He holds Master of Science Biostatistics degree and is currently pursuing PHD in statistics. His research interests are in response surface methodology and has authored four published papers on second order rotatability.