In the past several years many linear models have been proposed for analyzing two-color microarray data. As presented in the literature, many of these models appear dramatically different. However, many of these models are reformulations of the same basic approach to analyzing microarray data. This paper demonstrates the equivalence of some of these models. Attention is directed at choices in m...

The problem of estimation of the nite dimensional parameter in a partial linear model is considered. We derive upper and lower bounds for the second minimax order risk and show that the second order minimax estimator is a penalized maximum likelihood estimator. It is well known that the performance of the estimator is depending on the choice of a smoothing parameter. We propose a practically fe...

In linear models with hierarchical interaction structures product type designs are shown to be D{optimal simultaneously for the whole parameter vector and for testing against any hierarchical submodel. Moreover, product type designs are also q {optimal for the highest order interactions.

ALEXANDER AUE0, LAJOS HORVÁTH1, MARIE HUŠKOVÁ2 AND PIOTR KOKOSZKA3 0Department of Mathematical Sciences, Clemson University, O-324 Martin Hall, Clemson, SC 29634, USA E-mail: [email protected] 1Department of Mathematics, University of Utah, 155 South 1440 East, Salt Lake City, UT 84112–0090, USA E-mails: [email protected] and [email protected] 2Department of Statistics, Charles University...

Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the virtues of the ellipse and her higher-dimensional cousins for both these purposes in a variety of contexts, including linear models, multivariate linear models ...

This is an expanded version of Wooldridge (2003), which provided an overview of cluster-sample methods in linear models. Here I include additional details for linear models and provide, as much as possible, a parallel treatment for nonlinear models, including a summary of strategies for dealing with data sets having a small number of clusters.

Static deflection as well as free and forced large-amplitude vibrations of thin rectangular rubber plates under uniformly distributed pressure are investigated. Both physical, through a neo-Hookean constitutive law to describe the non-linear elastic deformation of the material, and geometrical non-linearities are accounted for. The deflections of a thin initially flat plate are described by the...

This paper presents a novel minutiae matching method that describes elastic distortions by means of a thin-plate spline model and uses that model to normalize the shape of the test fingerprint with respect to the template. The method first determines possible matching minutiae pairs by means of comparing local neighborhoods of the minutiae. Next, a thin-plate spline model is used to describe th...

Several new tests are proposed for examining the adequacy of a family of parametric models against large nonparametric alternatives. These tests formally check if the bias vector of residuals from parametric Ž ts is negligible by using the adaptive Neyman test and other methods. The testing procedures formalize the traditional model diagnostic tools based on residual plots. We examine the rates...