Two-level fractional factorial designs in blocks of size two for the orthogonal estimation of all main effects and two-factor interactions

摘要

In this paper we consider the problem of constructing two-level fractional factorial de- signs in blocks of size two that allow for the orthogonal estimation of all main effects and two-factor interactions (after adjusting for blocks). This problem has been considered in the literature, e.g., see Yang and Draper (2003), Wang (2004) and Kerr (2006). In this pa- per we give two systematic methods for the construction of such designs. The first con- struction method gives in many situations designs requiring fewer runs than those designs previously given whereas the second method gives a systematic method for constructing designs analogous to those illustrated in Yang and Draper (2003) by example.