CUBIC RESPONSE SURFACE DESIGNS USING BIBD IN FOUR DIMENSIONS

Applied Mathematics and Sciences: An International Journal (MathSJ)

ISSN : 2349 - 6223

P.Seshu Babu,A.V.Dattatreya Rao, G.V.S.R. Anjaneyulu and K.Srinivas

ABSTRACT

Response   Surface   Methodology   (RSM)   has   applications   in   Chemical,   Physical,   Meteorological, Industrial  and  Biological fields.  The  estimation  of  slope  response  surface  occurs frequently  in  practical situations  for  the  experimenter.  The  rates  of  change  of  the  response  surface,  like  rates  of  change  in  the yield  of  crop  to  various  fertilizers,  to  estimate  the  rates  of  change  in  chemical  experiments  etc.  are  of interest.  If  the  fit  of  second  order  response  is  inadequate  for  the  design  points,  we  continue  the experiment  so  as  to  fit  a  third  order  response  surface.  Higher  order  response  surface  designs  are sometimes needed in Industrial andMeteorological applications. Gardiner et al (1959) introduced third order  rotatable  designs  for  exploring  response  surface.  Anjaneyulu  et  al  (1994-1995)  constructed  third order

slope  rotatable  designs  using  doubly  balanced  incomplete  block  designs.  Anjaneyulu  etal  (2001) introduced third order slope rotatable designs using central composite type design points.Seshu babu et al  (2011)  studied modified  construction  of  third  order slope  rotatable  designs  using  central  composite designs.Seshu  babu  et  al  (2014) constructed  TOSRD  using  BIBD.In  view  of  wide  applicability  of  third order models in RSM and importance of slope rotatability, we introduce. A Cubic Slope Rotatable Designs Using BIBD in four dimensions.

KEYWORDS AND PHRASES:

Third Order Slope Rotatable Design, Balanced Incomplete Block Designs

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