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In applied research, it is often sensible to account for one or several covariates when testing for differences between multivariate means of several groups. However, the "classical" parametric multivariate analysis of covariance (MANCOVA)…

统计方法学 · 统计学 2020-04-28 Georg Zimmermann , Markus Pauly , Arne C. Bathke

Hypothesis test plays a key role in uncertain statistics based on uncertain measure. This paper extends the parametric hypothesis of a single uncertain population to multiple cases, thereby addressing a broader range of scenarios. First, an…

统计方法学 · 统计学 2025-12-03 Fan Zhang , Zhiming Li

Data collected in clinical trials are often composed of multiple types of variables. For example, laboratory measurements and vital signs are longitudinal data of continuous or categorical variables, adverse events may be recurrent events,…

统计方法学 · 统计学 2023-01-12 Tuo Wang , Rachel Zilinskas , Ying Li , Yongming Qu

A novel method is proposed for detecting changes in the covariance structure of moderate dimensional time series. This non-linear test statistic has a number of useful properties. Most importantly, it is independent of the underlying…

统计方法学 · 统计学 2021-08-18 Sean Ryan , Rebecca Killick

We propose a monitoring indicator of the normality of the output of a gravitational wave detector. This indicator is based on the estimation of the kurtosis (i.e., the 4th order statistical moment normalized by the variance squared) of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. Chassande-Mottin

Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are empirical L_1-type distances between the isotonic estimates,…

统计理论 · 数学 2015-03-17 Piet Groeneboom , Geurt Jongbloed

In this paper, we present a diagnosis method of diseases from clinical data. The data are routine test such as urine test, hematology, chemistries etc. Though those tests have been done for people who check in medical institutes, how each…

计算工程、金融与科学 · 计算机科学 2007-05-23 Gene Kim , MyungHo Kim

In many experiments in the life sciences, several endpoints are recorded per subject. The analysis of such multivariate data is usually based on MANOVA models assuming multivariate normality and covariance homogeneity. These assumptions,…

应用统计 · 统计学 2017-12-06 Sarah Friedrich , Markus Pauly

We study a novel class of affine invariant and consistent tests for multivariate normality. The tests are based on a characterization of the standard $d$-variate normal distribution by means of the unique solution of an initial value…

统计理论 · 数学 2020-07-07 Bruno Ebner , Norbert Henze , David Strieder

The test statistics of two powerful tests for normality \citep{lm1,mud2} are estimators of the correlation coefficient between certain sample moments. We derive new versions of the test statistics that are functions of the sample skewness…

统计理论 · 数学 2011-08-03 Måns Thulin

We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian route of putting a prior distribution complying with the monotonicity restriction,…

统计理论 · 数学 2023-06-09 Kang Wang , Subhashis Ghosal

We develop projection pursuit for data that admit a natural representation in matrix form. For projection indices, we propose extensions of the classical kurtosis and Mardia's multivariate kurtosis. The first index estimates projections for…

统计理论 · 数学 2021-09-10 Una Radojicic , Klaus Nordhausen , Joni Virta

Characteristic-function based goodness-of-fit tests are suggested for multivariate observations. The test statistics, which are straightforward to compute, are defined as two-sample criteria measuring discrepancy between multivariate ranks…

统计理论 · 数学 2025-08-01 Zdeněk Hlávka , Šárka Hudecová , Simos G. Meintanis

We introduce a unified approach to testing a variety of rather general null hypotheses that can be formulated in terms of covariances matrices. These include as special cases, for example, testing for equal variances, equal traces, or for…

统计理论 · 数学 2020-12-23 Paavo Sattler , Arne C. Bathke , Markus Pauly

While most treatment evaluations focus on binary interventions, a growing literature also considers continuously distributed treatments. We propose a Cram\'{e}r-von Mises-type test for testing whether the mean potential outcome given a…

计量经济学 · 经济学 2022-08-30 Yu-Chin Hsu , Martin Huber , Ying-Ying Lee , Chu-An Liu

The goal of this research is to derive an approach to assess uncertainty in an arbitrary volume conditioned by sampling data, without using geostatistical simulation. We have accomplished this goal by deriving an numerical tool suitable for…

统计方法学 · 统计学 2019-07-22 Alvaro I. Riquelme , Julian M. Ortiz

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

There is a growing proportion of people with several disease conditions ("multimorbidity"), placing increasing demands on healthcare systems. One hypothesis is that clusters of diseases may arise from shared underlying disease processes…

统计方法学 · 统计学 2025-08-15 Anthony J. Webster

In model-based testing (MBT) we may have to deal with a non-deterministic model, e.g. because abstraction was applied, or because the software under test itself is non-deterministic. The same test case may then trigger multiple possible…

软件工程 · 计算机科学 2019-09-13 I. S. W. B. Prasetya , Rick Klomp

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

统计理论 · 数学 2019-01-14 Anupam Kundu , Subir Kumar Bhandari