A new efficient MEP.1 series for \(2^f\) factorial experiments. (English) Zbl 1432.62258
Summary: Main effect plus one plans (MEP.1) search for a non-zero interaction effect and estimate it in addition to estimate all main effects. A new series of MEP.1 with \(2 f\) runs has been constructed and given in this research for \(2^f\) factorial experiments for all odd prime power \(f \geq 9\). Designs in this series are more efficient in estimating the factorial effects than the previous existent MEP.1 with the same number of runs based on D-efficiency criterion. In contrast to the former designs with \(2 f\) runs, the D-efficiency of new proposed designs is increasing in \(f\).
Keywords:
BIBD; D-efficiency; interaction effects; main effects; PBIBD; search linear models; search designs; main effect plus one plans (MEP.1)References:
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