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One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

Methodology · Statistics 2024-01-04 Daniel Ochieng

Competing risk data appear widely in modern biomedical research. Cause-specific hazard models are often used to deal with competing risk data in the past two decades. There is no current study on the kernel likelihood method for the…

Methodology · Statistics 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

Restricted mean survival time (RMST) offers a compelling nonparametric alternative to hazard ratios for right-censored time-to-event data, particularly when the proportional hazards assumption is violated. By capturing the total event-free…

Methodology · Statistics 2025-01-28 Jinghao Sun , Douglas E. Schaubel , Eric J. Tchetgen Tchetgen

Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

Statistics Theory · Mathematics 2009-08-12 Angelika Rohde

Within the nonparametric regression model with unknown regression function $l$ and independent, symmetric errors, a new multiscale signed rank statistic is introduced and a conditional multiple test of the simple hypothesis $l=0$ against a…

Statistics Theory · Mathematics 2008-12-18 Angelika Rohde

The power of multiple testing procedures can be increased by using weighted p-values (Genovese, Roeder and Wasserman 2005). We derive the optimal weights and we show that the power is remarkably robust to misspecification of these weights.…

Statistics Theory · Mathematics 2007-06-13 Larry Wasserman , Kathryn Roeder

While the inverse probability of treatment weighting (IPTW) is a commonly used approach for treatment comparisons in observational data, the resulting estimates may be subject to bias and excessively large variance when there is lack of…

Methodology · Statistics 2024-02-13 Zhiqiang Cao , Lama Ghazi , Claudia Mastrogiacomo , Laura Forastiere , F. Perry Wilson , Fan Li

The log-likelihood of a generative model often involves both positive and negative terms. For a temporal multivariate point process, the negative term sums over all the possible event types at each time and also integrates over all the…

Machine Learning · Computer Science 2020-11-03 Hongyuan Mei , Tom Wan , Jason Eisner

New tests are developed for two-way ANOVA models with heterogeneous error variances. The testing problems are considered for testing the significant interaction effects, simple effects, and treatment effects. The likelihood ratio tests…

Methodology · Statistics 2026-03-02 Anjana Mondal , Somesh Kumar

Assessing the statistical power to detect susceptibility variants plays a critical role in GWA studies both from the prospective and retrospective points of view. Power is empirically estimated by simulating phenotypes under a disease model…

Applications · Statistics 2012-01-25 Vittorio Perduca , Christine Sinoquet , Raphael Mourad , Gregory Nuel

In observational studies of survival time featuring a binary time-dependent treatment, the hazard ratio (an instantaneous measure) is often used to represent the treatment effect. However, investigators are often more interested in the…

Methodology · Statistics 2020-05-21 Yun Li , Douglas E. Schaubel , Kevin He

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial power on alternatives of importance. The…

Statistics Theory · Mathematics 2007-06-13 Peter J. Bickel , Ya'acov Ritov , Thomas M. Stoker

Although prospective logistic regression is the standard method of analysis for case-control data, it has been recently noted that in genetic epidemiologic studies one can use the ``retrospective'' likelihood to gain major power by…

Methodology · Statistics 2010-10-25 Nilanjan Chatterjee , Yi-Hau Chen , Sheng Luo , Raymond J. Carroll

We propose a class of locally and asymptotically optimal tests, based on multivariate ranks and signs for the homogeneity of scatter matrices in $m$ elliptical populations. Contrary to the existing parametric procedures, these tests remain…

Statistics Theory · Mathematics 2008-12-18 Marc Hallin , Davy Paindaveine

Most causal inference methods consider counterfactual variables under interventions that set the treatment deterministically. With continuous or multi-valued treatments or exposures, such counterfactuals may be of little practical interest…

Methodology · Statistics 2021-07-07 Iván Díaz , Nicholas Williams , Katherine L. Hoffman , Edward J. Schenck

Treatment specific survival curves are an important tool to illustrate the treatment effect in studies with time-to-event outcomes. In non-randomized studies, unadjusted estimates can lead to biased depictions due to confounding. Multiple…

Methodology · Statistics 2023-04-25 Robin Denz , Renate Klaaßen-Mielke , Nina Timmesfeld

We develop a method for hybrid analyses that uses external controls to augment internal control arms in randomized controlled trials (RCT) where the degree of borrowing is determined based on similarity between RCT and external control…

Methodology · Statistics 2023-05-11 Evan Kwiatkowski , Jiawen Zhu , Xiao Li , Herbert Pang , Grazyna Lieberman , Matthew A. Psioda

We investigate the issue of parameter estimation with nonuniform negative sampling for imbalanced data. We first prove that, with imbalanced data, the available information about unknown parameters is only tied to the relatively small…

Machine Learning · Statistics 2021-10-26 HaiYing Wang , Aonan Zhang , Chong Wang

Targeted maximum likelihood estimation is a general methodology combining flexible ensemble learning and semiparametric efficiency theory in a two-step procedure for estimation of causal parameters. Proposed targeted maximum likelihood…

Methodology · Statistics 2021-06-22 Helene Charlotte Wiese Rytgaard , Frank Eriksson , Mark van der Laan

Many large-scale testing procedures learn signal structure from the data to boost power. Direct data reuse can inflate Type-I error ("double dipping"), so a common remedy is masking: withholding some information during learning and using it…

Statistics Theory · Mathematics 2026-04-02 Abhinav Chakraborty , Junu Lee , Eugene Katsevich