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Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

A common problem in clinical trials is to test whether the effect of an explanatory variable on a response of interest is similar between two groups, e.g. patient or treatment groups. In this regard, similarity is defined as equivalence up…

Methodology · Statistics 2024-01-12 Niklas Hagemann , Giampiero Marra , Frank Bretz , Kathrin Möllenhoff

Collecting multiple types of data on the same set of subjects is common in modern scientific applications including, genomics, metabolomics, and neuroimaging. Joint and Individual Variance Explained (JIVE) seeks a low-rank approximation of…

Machine Learning · Statistics 2026-03-16 Raphiel J. Murden , Ganzhong Tian , Deqiang Qiu , Benajmin B. Risk

Estimating a causal effect from observational data can be biased if we do not control for self-selection. This selection is based on confounding variables that affect the treatment assignment and the outcome. Propensity score methods aim to…

Econometrics · Economics 2021-09-10 Daniel Jacob

In many clinical and epidemiological studies, collecting longitudinal measurements together with time-to-event outcomes is essential. Accurately estimating the association between longitudinal markers and event risks, as well as identifying…

Sparse joint shift (SJS) was recently proposed as a tractable model for general dataset shift which may cause changes to the marginal distributions of features and labels as well as the posterior probabilities and the class-conditional…

Machine Learning · Statistics 2024-06-25 Dirk Tasche

Influence diagnosis is an integrated component of data analysis, but is severely under-investigated in a high-dimensional setting. One of the key challenges, even in a fixed-dimensional setting, is how to deal with multiple influential…

Methodology · Statistics 2017-02-07 Junlong Zhao , Chao Liu , Lu Niu , Chenlei Leng

This paper introduces a new property of estimators of the strength of statistical association, which helps characterize how well an estimator will perform in scenarios where dependencies between continuous and discrete random variables need…

Machine Learning · Statistics 2021-01-12 Kiran Karra , Lamine Mili

M-quantile random-effects regression represents an interesting approach for modelling multilevel data when the interest of researchers is focused on the conditional quantiles. When data are based on complex survey designs, sampling weights…

Statistics Theory · Mathematics 2018-02-23 Francesco Schirripa Spagnolo , Nicola Salvati , Antonella D'Agostino , Ides Nicaise

Hierarchical inference in (generalized) regression problems is powerful for finding significant groups or even single covariates, especially in high-dimensional settings where identifiability of the entire regression parameter vector may be…

Methodology · Statistics 2021-10-22 Claude Renaux , Peter Bühlmann

We use variation of test scores measuring closely related skills to isolate peer effects. The intuition for our identification strategy is that the difference in closely related scores eliminates factors common to the performance in either…

General Economics · Economics 2025-07-03 Guido Kuersteiner , Ingmar Prucha , Ying Zeng

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

Gene expression datasets are usually of high dimensionality and therefore require efficient and effective methods for identifying the relative importance of their attributes. Due to the huge size of the search space of the possible…

Machine Learning · Computer Science 2022-06-10 Fernando Jiménez , Gracia Sánchez , José Palma , Luis Miralles-Pechuán , Juan Botía

Latent class analysis is used to perform model based clustering for multivariate categorical responses. Selection of the variables most relevant for clustering is an important task which can affect the quality of clustering considerably.…

Computation · Statistics 2016-06-17 Arthur White , Jason Wyse , Thomas Brendan Murphy

It is increasingly common to collect data of multiple different types on the same set of samples. Our focus is on studying relationships between such multiview features and responses. A motivating application arises in the context of…

Machine Learning · Statistics 2026-01-26 Niccolo Anceschi , Federico Ferrari , David B. Dunson , Himel Mallick

Understanding the influence of features in machine learning is crucial to interpreting models and selecting the best features for classification. In this work we propose the use of principles from coalitional game theory to reason about…

Machine Learning · Statistics 2017-12-05 Bogdan Kulynych , Carmela Troncoso

Given a set of several inputs into a system (e.g., independent variables characterizing stimuli) and a set of several stochastically non-independent outputs (e.g., random variables describing different aspects of responses), how can one…

Data Analysis, Statistics and Probability · Physics 2012-09-04 Ehtibar N. Dzhafarov , Janne V. Kujala

Variable importance plays a pivotal role in interpretable machine learning as it helps measure the impact of factors on the output of the prediction model. Model agnostic methods based on the generation of "null" features via permutation…

Improving the detection of relevant variables using a new bivariate measure could importantly impact variable selection and large network inference methods. In this paper, we propose a new statistical coefficient that we call the rank…

Machine Learning · Statistics 2013-05-10 Patrick E. Meyer

This study explores how the Rashomon effect influences variable importance in the context of student demographics used for academic outcomes prediction. Our research follows the way machine learning algorithms are employed in Educational…

Computers and Society · Computer Science 2024-12-18 Jakub Kuzilek , Mustafa Çavuş