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In linear models, omitting a covariate that is orthogonal to covariates in the model does not result in biased coefficient estimation. This in general does not hold for longitudinal data, where additional assumptions are needed to get…

Statistics Theory · Mathematics 2023-05-30 Zhuowei Sun , Hongyuan Cao , Li Chen , Jason P. Fine

Modeling data with multivariate count responses is a challenging problem due to the discrete nature of the responses. Existing methods for univariate count responses cannot be easily extended to the multivariate case since the dependency…

Methodology · Statistics 2016-08-15 Hao Wu , Xinwei Deng , Naren Ramakrishnan

In a regression setting with a response vector and given regressor vectors, a typical question is to what extent the response is related to these regressors, specifically, how well it can be approximated by a linear combination of the…

Statistics Theory · Mathematics 2025-02-03 Lutz Duembgen , Laurie Davies

Extracting biomedical relations from large corpora of scientific documents is a challenging natural language processing task. Existing approaches usually focus on identifying a relation either in a single sentence (mention-level) or across…

Computation and Language · Computer Science 2020-11-23 Harshil Shah , Julien Fauqueur

In behavioral and psychiatric research, data consisting of a per-subject proportion of "successes" and "failures" over a finite number of trials often arise. This kind of clustered binary data are usually non-normally distributed, which can…

Quantitative Methods · Quantitative Biology 2016-05-09 Alberto Ferrari , Mario Comelli

Causal inference on multiple non-independent outcomes raises serious challenges, because multivariate techniques that properly account for the outcome's dependence structure need to be considered. We focus on the case of binary outcomes…

Methodology · Statistics 2018-05-11 Monia Lupparelli , Alessandra Mattei

In many settings, a data curator links records from two files to produce datasets that are shared with secondary analysts. Analysts use the linked files to estimate models of interest, such as regressions. Such two-stage approaches do not…

Methodology · Statistics 2025-11-18 Xueyan Hu , Jerome P. Reiter

Linear regression and classification methods with repeated functional data are considered. For each statistical unit in the sample, a real-valued parameter is observed over time under different conditions related by some neighborhood…

Methodology · Statistics 2024-09-23 Issam-Ali Moindjié , Cristian Preda , Sophie Dabo-Niang

In many machine learning problems, understanding variable importance is a central concern. Two common approaches are Permute-and-Predict (PaP), which randomly permutes a feature in a validation set, and Leave-One-Covariate-Out (LOCO), which…

Statistics Theory · Mathematics 2025-10-02 Kelvyn K. Bladen , D. Richard Cutler , Alan Wisler

This paper proposes a debiased estimator for causal effects in high-dimensional generalized linear models with binary outcomes and general link functions. The estimator augments a regularized regression plug-in with weights computed from a…

Econometrics · Economics 2025-10-21 Jing Kong

In this paper we build a joint model which can accommodate for binary, ordinal and continuous responses, by assuming that the errors of the continuous variables and the errors underlying the ordinal and binary outcomes follow a multivariate…

Methodology · Statistics 2024-11-06 Laura Vana-Gür , Rainer Hirk

This article focuses on Bayesian estimation of a hierarchical linear model (HLM) from incomplete data assumed missing at random where continuous covariates C and discrete categorical covariates $D$ have interaction effects on a continuous…

Methodology · Statistics 2025-02-12 Dongho Shin , Yongyun Shin

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

Methodology · Statistics 2020-06-22 Haiming Zhou , Xianzheng Huang

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

Applications · Statistics 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

Logistic regression is a standard method in multivariate analysis for binary outcome data in epidemiological and clinical studies; however, the resultant odds-ratio estimates fail to provide directly interpretable effect measures. The…

Methodology · Statistics 2024-11-26 Takahiro Kitano , Hisashi Noma

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

Logistic regression is a commonly used method for binary classification. Researchers often have more than a single binary response variable and simultaneous analysis is beneficial because it provides insight into the dependencies among…

Methodology · Statistics 2024-02-13 Mark de Rooij , Patrick J. F. Groenen

This article concerns a class of generalized linear mixed models for clustered data, where the random effects are mapped uniquely onto the grouping structure and are independent between groups. We derive necessary and sufficient conditions…

Methodology · Statistics 2017-09-20 Jarod Y. L. Lee , Peter J. Green , Louise M. Ryan

In a standard regression problem, we have a set of explanatory variables whose effect on some response vector is modeled. For wide binary data, such as genetic marker data, we often have two limitations. First, we have more parameters than…

Methodology · Statistics 2021-09-20 Katharina Parry , Leo N. Geppert , Alexander Munteanu , Katja Ickstadt

Heterogeneity is a hallmark of complex diseases. Regression-based heterogeneity analysis, which is directly concerned with outcome-feature relationships, has led to a deeper understanding of disease biology. Such an analysis identifies the…

Methodology · Statistics 2022-11-29 Ziye Luo , Xinyue Yao , Yifan Sun , Xinyan Fan