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...

Mixed-level designs are widely used in the practical experiments. When the levels of some factors are difficult to be changed or controlled, fractional factorial split-plot (FFSP) designs are often used. This paper investigates the sufficient and necessary conditions for a <InlineEquation ID="IEq1"> <EquationSource...</equationsource></inlineequation>

This paper considers the construction of blocked two-level regular designs with weak minimum aberration. We first obtain the minimum value of the number of two-factor interactions which are aliased with the block effects. Based on this result, two methods are then proposed in two different...

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>

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...

This paper introduces a method of blockwise empirical Euclidean likelihood for weakly dependent processes. The strong consistency and asymptotic normality of the blockwise empirical Euclidean likelihood estimation are proved. It is deduced that the blockwise empirical Euclidean likelihood ratio...

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...

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...