SYSTEMATIC METHODS TO CALCULATE FACTOR EFFECTS AND FITTED VALUES FOR A 2n3m FACTORIAL EXPERIMENT

摘要

Two systematic procedures to facilitate the analysis of a 2n3m factorial experiment are presented. These methods are applicable when all the three-level factors are both quantitative and equally spaced. The first algorithm systematizes the calculation of the factor effects for the 2n3m series. The second procedure yields the set of fitted values, and consequently the residuals, based on those factor effects which have been judged to be significantly different from zero. For the case m = 0, the first algorithm reduces to the standard forward Yates procedure for the 211 series; similarly, when n = 0, this algorithm reduces to the forward Yates procedure for the 3m series (see (l) ). When m = 0, the second algorithm reduces to a simple variation of the "forward Yates" for the 2n series (see (l) ).