The main thrust of this paper is to investigate the ridge regression problem in multicollinear data. The properties of ridge estimator are discussed. Variance inflation factors, eigen values and standardization problem are studied through an empirical comparison between OLS and ridge regression method by regressing number of persons employed on five variables. Methods to choose biasing paramete...

Yang Shen,1,* Chen W. Li,1,2,3,† Xiaoli Tang,1 Hillary L. Smith,1 and B. Fultz1 1Department of Applied Physics and Materials Science, California Institute of Technology, Pasadena, California 91125, USA 2Geophysical Laboratory, Carnegie Institution for Science, Oak Ridge, Tennessee 37831, USA 3Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA (Received 13 ...

excessive alveolar bone resorption is commonly found when teeth are extracted. this is a problem in anterior part of mouth because it will result in an unaesthetic pontic on a narrow hollowed out alveolar ridge. yet, another problem is gingival recession and root exposure in adjacent teeth which represent a therapeutic problem to the clinician. use of acellular dermal matrix graft is an appropr...

We study whether and how the energy scaling based on the single-ridge approximation is revised in an actual crumpled sheet, namely, in the presence of ridge-ridge interactions. Molecular dynamics simulation is employed for this purpose. In order to improve the data quality, modifications are introduced to the common protocol. As crumpling proceeds, we find that the average storing energy change...

A child with brachymesophalangy and postaxial postminimal polydactyly was found also to have dermal ridge dissociation and ridge hypoplasia. She was the second child of unaffected, unrelated parents and was born after a normal pregnancy and delivery. No previous report of a similar combination has been traced.

[1] The seafloor is characterized by numerous seamounts and oceanic islands which are mainly volcanic in origin. Relatively few of these features (< 0.1%), however, have been dated, and so little is known about their tectonic setting. One parameter that is sensitive to whether a seamount formed on, near, or far from a mid-ocean ridge is the elastic thickness, Te, which is a proxy for the long-t...

The regularized expectation maximization (RegEM) method has been used in recent studies to derive climate field reconstructions of Northern Hemisphere temperatures during the last millennium. Original pseudoproxy experiments that tested RegEM [with ridge regression regularization (RegEM-Ridge)] standardized the input data in a way that improved the performance of the reconstruction method, but ...

A procedure for constructing a vector of regression weights is considered. Under the regression superpopulation model, the ridge regression estimator that has minimum model mean squared error is derived. Through a simulation study, the ridge regression weights, regression weights, quadratic programming weights and raking ratio weights are compared. The ridge regression procedure with weights bo...

Mammalian fossils from two principal collecting areas in the lower Hanna Formation of the Carbon Basin comprise three faunas, the Grayson Ridge, Halfway Hill, and Sand Creek faunas. The Grayson Ridge and Halfway Hill faunas are diverse, consisting cumulatively of 29 mammalian species, at least two of which are new. The faunas are approximately equivalent in age and are either latest lbrrejonian...