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.

Zhang et al. (Stat Sinica 18:1689–1705, <CitationRef CitationID="CR15">2008</CitationRef>) introduced an aliased effect-number pattern for two-level regular designs and proposed a general minimum lower-order confounding (GMC) criterion for choosing optimal designs. All the GMC <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$$2^{n-m}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msup> <mn>2</mn> <mrow> <mi>n</mi> <mo>-</mo> <mi>m</mi> </mrow> </msup> </math> </EquationSource> </InlineEquation> designs with <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$$N/4+1\le n\le...</equationsource></inlineequation></equationsource></equationsource></inlineequation></citationref>

A general method for obtaining highly efficient factorial designs of relatively small sizes is developed for cDNA microarray experiments. It allows the main effects and interactions to be of possibly unequal importance. First, the approximate theory is employed to get an optimal design measure...

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...

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...

We apply empirical likelihood method to constructing confidence regions for the difference of the means of two d-dimensional samples. It is shown that the empirical likelihood ratio test has an asymptotic chi-squared distribution. The Bartlett correction for the univariate case (d=1) has been...