Nonparametric and parametric approaches have been proposed to estimate false discovery rate under the independent hypothesis testing assumption. The parametric approach has been shown to have better performance than the nonparametric approaches. In this article, we study the nonparametric approaches and quantify the underlying relations between parametric and nonparametric approaches. Our study...

This paper is concerned with inference about a function g that is identified by a conditional moment restriction involving instrumental variables. The function is nonparametric. It satisfies mild regularity conditions but is otherwise unknown. The paper presents test of the hypothesis that g is the mean of a random variable Y conditional on a covariate X . The need to test this hypothesis arise...

We consider testing whether the nonparametric function in a semiparametric additive mixed model is a simple fixed degree polynomial, for example, a simple linear function. This test provides a goodness-of-fit test for checking parametric models against nonparametric models. It is based on the mixed-model representation of the smoothing spline estimator of the nonparametric function and the vari...

Functional mapping is a useful tool for mapping quantitative trait loci (QTL) that control dynamic traits. It incorporates mathematical aspects of biological processes into the mixture model-based likelihood setting for QTL mapping, thus increasing the power of QTL detection and the precision of parameter estimation. However, in many situations there is no obvious functional form and, in such c...

We propose a nonparametric procedure to test the hypothesis that the j-th largest eigenvalues of a covariance matrix are equal in multipopulation. We apply the Mood test by using the principal component scores and deal the equality of eigenvalues with the equality of variance. We investigate the significance level and the power of test by simulation and show that this nonparametric test is usef...

Motivation Our work is motivated by an interest in constructing a protein-protein interaction network that captures key features associated with Parkinson's disease. While there is an abundance of subnetwork construction methods available, it is often far from obvious which subnetwork is the most suitable starting point for further investigation. Results We provide a method to assess whether ...

A procedure for testing equality across nonparametric regressions is proposed The proce dure allows for any dimension of the explanatory variables and for any number of subsamples We consider the case of random explanatory variables and allow the designs of the regressors and the number of observations to di er across subsamples The division into subsamples is de ned through a variable C which ...

Peaks in the spectrum of a stationary process are indicative of the presence of a periodic phenomenon, such as a seasonal effect or business cycle. This work proposes to measure and test for the presence of such spectral peaks via assessing their aggregate acceleration and velocity. Our method is developed nonparametrically, and thus may be useful in a preliminary analysis of a series. The tech...

We propose a way of testing exogeneity of an explanatory variable without any parametric assumptions in the presence of a conditional "instrumental variable". A testable implication is derived that if an explanatory variable is exogenous, the conditional distribution of the outcome given explanatory variables is independent of the instrumental variable. We propose a consistent nonparametric boo...

A Bayesian Nonparametric Test for Minimal Repair Li Li, Timothy Hanson, Paul Damien & Elmira Popova a Department of Statistics, University of South Carolina, Columbia, SC 29201 (; ) b McCombs School of Business, University of Texas at Austin, Austin, TX 78712 () c Department Mechanical Engineering, University of Texas at Austin, Austin, TX 78712 () Accepted author version posted online: 20 Sep ...