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To analyze the uncertain data frequently encountered in practice, this paper proposes novel fixed-effects models that incorporate an uncertain measure to investigate variables of interest and nuisance variables in factor designs. First, an…

统计方法学 · 统计学 2026-03-18 Fan Zhang , Zhiming Li

Cointegration is a property of multivariate time series that determines whether its non-stationary, growing components have a stationary linear combination. Largevars R package conducts a cointegration test for high-dimensional vector…

计量经济学 · 经济学 2025-09-09 Anna Bykhovskaya , Vadim Gorin , Eszter Kiss

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

统计方法学 · 统计学 2016-09-06 Yi-Hui Zhou

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

统计计算 · 统计学 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

Considering a regression model, we address the question of testing the nullity of the regression function. The testing procedure is available when the variance of the observations is unknown and does not depend on any prior information on…

统计理论 · 数学 2019-04-08 Thi Thien Trang Bui

Linear mixed models are a versatile statistical tool to study data by accounting for fixed effects and random effects from multiple sources of variability. In many situations, a large number of candidate fixed effects is available and it is…

统计方法学 · 统计学 2022-09-09 Emanuele Degani , Luca Maestrini , Dorota Toczydłowska , Matt P. Wand

A formal likelihood ratio hypothesis test for the validity of a parametric regression function is proposed, using a large-dimensional, nonparametric double cone alternative. For example, the test against a constant function uses the…

统计方法学 · 统计学 2014-06-30 Bodhisattva Sen , Mary Meyer

In subgroup analysis, testing the existence of a subgroup with a differential treatment effect serves as protection against spurious subgroup discovery. Despite its importance, this hypothesis testing possesses a complicated nature:…

统计理论 · 数学 2025-03-21 Shota Takeishi

Linear mixed models are widely used to analyze non-independent data, but inference for fixed effects can be unreliable under misspecification of the random-effects distribution, inaccurate Fisher information estimation, or convergence…

统计方法学 · 统计学 2026-05-01 Angela Andreella , Livio Finos

We propose an empirical likelihood test that is able to test the goodness of fit of a class of parametric and semi-parametric multiresponse regression models. The class includes as special cases fully parametric models; semi-parametric…

统计理论 · 数学 2010-01-12 Song Xi Chen , Ingrid Van Keilegom

The nonparametric maximum likelihood estimator (NPMLE) in monotone binary regression models is studied when the impact of the features on the labels is weak. Here, weakness is colloquially understood as "close to flatness" of the…

统计理论 · 数学 2025-06-05 Dario Kieffer , Angelika Rohde

This paper introduces a general framework for estimating variance components in the linear mixed models via general unbiased estimating equations, which include some well-used estimators such as the restricted maximum likelihood estimator.…

统计方法学 · 统计学 2021-05-18 Tatsuya Kubokawa , Shonosuke Sugasawa , Hiromasa Tamae , Sanjay Chaudhuri

The test of homogeneity for normal mixtures has been conducted in diverse research areas, but constructing a theory of the test of homogeneity is challenging because the parameter set for the null hypothesis corresponds to singular points…

统计理论 · 数学 2020-12-02 Natsuki Kariya , Sumio Watanabe

The random-effects or normal-normal hierarchical model is commonly utilized in a wide range of meta-analysis applications. A Bayesian approach to inference is very attractive in this context, especially when a meta-analysis is based only on…

统计计算 · 统计学 2020-04-29 Christian Röver

We propose a procedure for testing the linearity of a scalar-on-function regression relationship. To do so, we use the functional generalized additive model (FGAM), a recently developed extension of the functional linear model. For a…

统计方法学 · 统计学 2014-04-24 Mathew W. McLean , Giles Hooker , David Ruppert

We study behavior of the restricted maximum likelihood (REML) estimator under a misspecified linear mixed model (LMM) that has received much attention in recent gnome-wide association studies. The asymptotic analysis establishes consistency…

统计理论 · 数学 2014-04-10 Jiming Jiang , Cong Li , Debashis Paul , Can Yang , Hongyu Zhao

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

统计理论 · 数学 2019-12-24 Natsuki Kariya , Sumio Watanabe

We present a computational motivation for restricted maximum likelihood (REML) estimation in linear mixed models using an expectation--maximization (EM) algorithm. At each iteration, maximum likelihood (ML) and REML solve the same…

统计计算 · 统计学 2026-02-11 Andrew T. Karl

Many scientific questions rely on determining whether two sequences of event times are associated. This article introduces a likelihood ratio test which can be parameterised in several ways to detect different forms of dependence. A common…

统计方法学 · 统计学 2014-12-23 Patrick Rubin-Delanchy , Nicholas A. Heard

Linear Mixed Effects (LME) models have been widely applied in clustered data analysis in many areas including marketing research, clinical trials, and biomedical studies. Inference can be conducted using maximum likelihood approach if…

统计方法学 · 统计学 2022-11-10 Hao Chen , Lanshan Han , Alvin Lim