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Analysis of variance (ANOVA) is an extremely important method in exploratory and confirmatory data analysis. Unfortunately, in complex problems (e.g., split-plot designs), it is not always easy to set up an appropriate ANOVA. We propose a…

Statistics Theory · Mathematics 2007-06-13 Andrew Gelman

The odds ratio (OR) is a measure of effect size commonly used in observational research. OR reflects statistical association between a binary outcome, such as the presence of a health condition, and a binary predictor, such as an exposure…

Methodology · Statistics 2018-07-09 Olga A Vsevolozhskaya , Dmitri V Zaykin

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

Methodology · Statistics 2022-10-27 Philipp Eller , Lolian Shtembari

Analysis of variance (ANOVA) reveals some disadvantages, such as non-robustness against heteroscedastic or non-normal errors and using difference to overall mean as effect sizes only. As an alternative the multiple contrast test comparing…

Methodology · Statistics 2023-03-27 Ludwig A. Hothorn

Assessing variability according to distinct factors in data is a fundamental technique of statistics. The method commonly regarded to as analysis of variance (ANOVA) is, however, typically confined to the case where all levels of a factor…

Methodology · Statistics 2013-03-15 Steven Geinitz , Reinhard Furrer

A new thresholding method, based on L-statistics and called order thresholding, is proposed as a technique for improving the power when testing against high-dimensional alternatives. The new method allows great flexibility in the choice of…

Statistics Theory · Mathematics 2010-10-21 Min Hee Kim , Michael G. Akritas

Multivariate analysis of variance (MANOVA) is a powerful and versatile method to infer and quantify main and interaction effects in metric multivariate multi-factor data. It is, however, neither robust against change in units nor a…

Statistics Theory · Mathematics 2018-02-13 Dennis Dobler , Sarah Friedrich , Markus Pauly

Klaassen in (Klaassen 2015) proposed a method for the detection of data manipulation given the means and standard deviations for the cells of a oneway ANOVA design. This comment critically reviews this method. In addition, inspired by this…

Methodology · Statistics 2015-07-16 Hannes Matuschek

Many statistical analyses involve the comparison of multiple data sets collected under different conditions in order to identify the difference in the underlying distributions. A common challenge in multi-sample comparison is the presence…

Methodology · Statistics 2016-04-07 Li Ma , Jacopo Soriano

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

Testing for the significance of a subset of regression coefficients in a linear model, a staple of statistical analysis, goes back at least to the work of Fisher who introduced the analysis of variance (ANOVA). We study this problem under…

Statistics Theory · Mathematics 2012-02-24 Ery Arias-Castro , Emmanuel J. Candès , Yaniv Plan

The aim of ordinal classification is to predict the ordered labels of the output from a set of observed inputs. Interval-valued data refers to data in the form of intervals. For the first time, interval-valued data and interval-valued…

Methodology · Statistics 2023-11-06 Aleix Alcacer , Marina Martínez-Garcia , Irene Epifanio

Traditional analysis of variance (ANOVA) software allows researchers to test for the significance of main effects in the presence of interactions without exposure to the details of how the software encodes main effects and interactions to…

Methodology · Statistics 2018-01-16 Roger Levy

Comparative binary outcome data are of fundamental interest in statistics and are often pooled in meta-analyses. Here we examine the simplest case where for each study there are two patient groups and a binary event of interest, giving rise…

Methodology · Statistics 2018-06-12 Rose Baker , Dan Jackson

We propose new concepts in order to analyze and model the dependence structure between two time series. Our methods rely exclusively on the order structure of the data points. Hence, the methods are stable under monotone transformations of…

Statistics Theory · Mathematics 2015-02-02 Alexander Schnurr , Herold Dehling

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

Statistics Theory · Mathematics 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla distributions, we obtain some ordering results involving…

Statistics Theory · Mathematics 2021-04-09 Fatemeh Gharari , Masoud Ganji

The development of data acquisition systems is facilitating the collection of data that are apt to be modelled as functional data. In some applications, the interest lies in the identification of significant differences in group functional…

In several modern applications, ranging from genetics to genomics and neuroimaging, there is a need to compare observations across different populations, such as groups of healthy and diseased individuals. The interest is in detecting a…

Methodology · Statistics 2012-05-14 Christopher Minas , Giovanni Montana

We carry out ANOVA comparisons of multiple treatments for longitudinal studies with missing values. The treatment effects are modeled semiparametrically via a partially linear regression which is flexible in quantifying the time effects of…

Statistics Theory · Mathematics 2012-11-14 Song Xi Chen , Ping-Shou Zhong
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