On blocked resolution IV designs containing clear two-factor interactions
Blocking is an effective method for reducing systematic variations and increasing the precision of effect estimation when the experimental units are not homogeneous. Clear two-factor interactions (2fi's) can be estimated under the weak assumption that interactions involving three or more factors can be ignored. Some theoretical results on the existence of clear 2fi's in 2(IV)(m-p) : 2(l) designs are obtained, where 2(IV)(m-p) : 2(l) denotes a regular resolution IV blocked design with m treatment factors, 1 block factors, and 2(m-p) P runs. An algorithm is proposed for constructing 2(IV)(m-p) P : 2(l) designs with the maximum number of clear 2fi's. Based on this algorithm, the 16-, 32-, and 64-run 2(IV)(m-p) : 2(l) designs containing the maximum number of clear 2fi's are constructed and tabulated. (C) 2013 Elsevier Inc. All rights reserved.
resolution clear two-factor interaction blocked fractional factorial design