Description and evaluation of a nested cube experimental design
An incomplete factorial design based on an extension of the Fawiliar 2kfactorial called a nested cube is proposed for use in response surface investigationso The simplicity and general efficiency of the nested cube suggest its suitability to many areas of research, especially that repeated at many locations orconductea over a long period. Comparisons to potentially competing designs are provided for bias in response estination due to fitting an ioappropriate model and for profiles of variance. merits of the nested cube are (1) a level of relative bias and variance judged to be favorable though not optimal, (2) an ability to utilize a minimum blag estimator not available to competing designs, and (3) a simplicity associated with use of equal spacing and nearly equal replication on the margin for each factor level.