Variance dispersion graphs for comparing blocked response surface designs

TY - JOUR

T1 - Variance dispersion graphs for comparing blocked response surface designs

AU - Trinca, Luzia A.

AU - Gilmour, Steven G.

PY - 1998/10

Y1 - 1998/10

N2 - In this paper, we extend the use of the variance dispersion graph (VDG) to experiments in which the response surface (RS) design must be blocked. Through several examples we evaluate the prediction performances of RS designs in non-orthogonal block designs compared with the equivalent unblocked designs and orthogonally blocked designs. These examples illustrate that good prediction performance of designs in small blocks can be expected in practice. Most importantly, we show that the allocation of the treatment set to blocks can seriously affect the prediction properties of designs; thus, much care is needed in performing this allocation.

AB - In this paper, we extend the use of the variance dispersion graph (VDG) to experiments in which the response surface (RS) design must be blocked. Through several examples we evaluate the prediction performances of RS designs in non-orthogonal block designs compared with the equivalent unblocked designs and orthogonally blocked designs. These examples illustrate that good prediction performance of designs in small blocks can be expected in practice. Most importantly, we show that the allocation of the treatment set to blocks can seriously affect the prediction properties of designs; thus, much care is needed in performing this allocation.

KW - Blocking

KW - Box-Behnken Designs

KW - Central Composite Designs

KW - D-Optimality

KW - Prediction

UR - http://www.scopus.com/inward/record.url?scp=0032188142&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032188142

SN - 0022-4065

VL - 30

SP - 314

EP - 327

JO - JOURNAL OF QUALITY TECHNOLOGY

JF - JOURNAL OF QUALITY TECHNOLOGY

IS - 4

ER -