Acta mathematica scientia, Series B >
CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS
Received date: 2011-07-17
Revised date: 2012-07-31
Online published: 2013-09-20
Supported by
This work was supported by the National Natural Science Foundation of China (11271205, 11271355, 11101024 and 11171165), the “131” Talents Program of Tianjin, and the Fundamental Research Funds for the Central Universities (65030011 and 65011361).
Robust parameter design (RPD) is an important issue in experimental designs. If all experimental runs cannot be performed under homogeneous conditions, blocking the units is effective. In this paper, we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs. In addition, we provide a
construction of optimal blocking schemes that make all main effects and control-by-noise two-factor interactions estimable.
Key words： Alias; blocking; factorial design; factorial effect; robust parameter design
YANG Jian-Feng , ZHANG Run-Chu , LIU Min-Qian . CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1431 -1438 . DOI: 10.1016/S0252-9602(13)60094-6
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