This paper shows that the existing optimality criteria for s-level designs can be expressed by the aliased component-number pattern, which is the core of the general minimum lower order confounding criterion for s-level designs.

Fractional factorial split-plot (FFSP) designs with minimum aberration have been applied in industrial experiments. But, they are not so easy to construct for cases having many whole plot (or subplot) factors and only few subplot (or whole plot) factors. Weak minimum aberration is a weak version...

Supersaturated designs (SSDs) are widely researched because they can greatly reduce the number of experiments. However, analyzing the data from SSDs is not easy as their run size is not large enough to estimate all the main effects. This paper introduces contrast-orthogonality cluster and...

Phillips [Phillips R.F., 1991. A constrained maximum likelihood approach to estimating switching regressions. Journal of Econometrics 48, 241-262] proposed a constrained maximum-likelihood approach to estimating the parameters in a switching regression model. In this note, we propose a new...

In this paper, the only assumptions on the distribution of data are those concerning first two moments. Our purpose is to estimate the parameter of interest in the presence of nuisance parameter under these weak assumptions on the distribution. We define a quasi-least favorable curve and...

For a fixed number of runs, when can designs have clear main effects or clear two-factor interactions (in brief, 2fi's)? This paper gives the maximum value of n in sn-m designs containing clear main effects or clear 2fi's, where s is any prime or prime power. It is a generalization of the...

This paper introduces minimum secondary aberration (MSA) and maximum secondary estimation capacity (MSEC) criteria for discriminating among rival nonisomorphic regular multistratum fractional factorial split-plot (FFSP) designs. Some general rules for identifying MSA or MSEC multistratum FFSP...

Chen and Cheng [Chen, H., Cheng, C.-S., 2006. Doubling and projection: A method of constructing two-level designs of resolution IV. Ann. Statist. 34, 546-558] discussed the method of doubling for constructing two-level regular designs of resolution IV. In this paper, we study some further...