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For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

统计方法学 · 统计学 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for stationarity versus trends and unit roots…

统计理论 · 数学 2010-02-16 Frédéric Lavancier , Anne Philippe , Donatas Surgailis

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

统计方法学 · 统计学 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

统计方法学 · 统计学 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Nonparametric tests for functional data are a challenging class of tests to work with because of the potentially high dimensional nature of the data. One of the main challenges for considering rank-based tests, like the Mann-Whitney or…

统计方法学 · 统计学 2024-07-12 Mark J. Meyer

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

A simple test is proposed for examining the correctness of a given completely specified response function against unspecified general alternatives in the context of univariate regression. The usual diagnostic tools based on residuals plots…

统计方法学 · 统计学 2010-04-27 Jean-Baptiste Aubin , Samuela Leoni-Aubin

Regression is one of the most commonly used statistical techniques. However, testing regression systems is a great challenge because of the absence of test oracle in general. In this paper, we show that Metamorphic Testing is an effective…

统计方法学 · 统计学 2021-08-24 Quang-Hung Luu , Man F. Lau , Sebastian P. H. Ng , Tsong Yueh Chen

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

统计方法学 · 统计学 2019-11-19 Alexander Kukush , Igor Mandel

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

计量经济学 · 经济学 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the…

统计方法学 · 统计学 2022-08-23 Mark Tygert

Regression evaluation has been performed for decades. Some metrics have been identified to be robust against shifting and scaling of the data but considering the different distributions of data is much more difficult to address (imbalance…

机器学习 · 计算机科学 2020-09-14 Mario Michael Krell , Bilal Wehbe

We consider Wald's sequential probability ratio test for deciding whether a sequence of independent and identically distributed observations comes from a specified phase-type distribution or from an exponentially tilted alternative…

概率论 · 数学 2013-07-24 Hansjörg Albrecher , Peiman Asadi , Jevgenijs Ivanovs

In this paper, we develop a simple approach for testing multiple statistical hypotheses based on the observations of a number of probability ratios enumerated consecutively with respect to the index of hypotheses. Explicit and tight bounds…

统计理论 · 数学 2012-06-19 Xinjia Chen

Regression discontinuity (RD) designs with multiple running variables arise in a growing number of empirical applications, including geographic boundaries and multi-score assignment rules. Although recent methodological work has extended…

计量经济学 · 经济学 2026-02-04 Artem Samiahulin

Linear regression models are checked by a lack-of-fit (LOF) test to be sure that the model is at least approximatively true. In many practical cases data are sampled sequentially. Such a situation appears in industrial production when goods…

统计理论 · 数学 2016-06-29 Wolfgang Bischoff

Hypothesis tests based on linear models are widely accepted by organizations that regulate clinical trials. These tests are derived using strong assumptions about the data-generating process so that the resulting inference can be based on…

应用统计 · 统计学 2018-09-13 Kellie Ottoboni , Fraser Lewis , Luigi Salmaso

We present a new and general method of weighted least square univariate regression where the dependent variable is expanded as a series of suitably chosen functions of the independent variables. Each term of the series is obtained by an…

数值分析 · 数学 2021-03-26 Nilotpal Kanti Sinha

Cross-validation is the standard approach for tuning parameter selection in many non-parametric regression problems. However its use is less common in change-point regression, perhaps as its prediction error-based criterion may appear to…

统计方法学 · 统计学 2024-02-13 Florian Pein , Rajen D. Shah
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