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This article extends the hypotheses assessment method to the case with two competing simple hypotheses. In doing so we further clarify the benefits that hypotheses assessments can bring to classical statistical analyses. Given that…

Methodology · Statistics 2025-03-25 Graham N. Bornholt

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

Applications · Statistics 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

Methodology · Statistics 2016-07-14 Hyunseung Kang , T. Tony Cai , Dylan S. Small

In the absence of empirical confirmation, scientists may judge a theory's chances of being viable based on a wide range of arguments. The paper argues that such arguments can differ substantially with regard to their structural similarly to…

History and Philosophy of Physics · Physics 2017-02-07 Richard Dawid

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

Methodology · Statistics 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

Context: Conditional statements like "If A and B then C" are core elements for describing software requirements. However, there are many ways to express such conditionals in natural language and also many ways how they can be interpreted.…

Software Engineering · Computer Science 2021-09-07 Jannik Fischbach , Julian Frattini , Daniel Mendez , Michael Unterkalmsteiner , Henning Femmer , Andreas Vogelsang

This paper clarifies a fundamental difference between causal inference and traditional statistical inference by formalizing a mathematical distinction between their respective parameters. We connect two major approaches to causal inference,…

Methodology · Statistics 2025-08-29 Muye Liu , Jun Xie

We assess the impact of a Hausman pretest, applied to panel data, on a confidence interval for the slope, conditional on the observed values of the time-varying covariate. This assessment has the advantages that it (a) relates to the values…

Statistics Theory · Mathematics 2017-10-18 Paul Kabaila , Rheanna Mainzer , Davide Farchione

Asymptotic bootstrap validity is usually understood as consistency of the distribution of a bootstrap statistic, conditional on the data, for the unconditional limit distribution of a statistic of interest. From this perspective, randomness…

Econometrics · Economics 2025-10-09 Giuseppe Cavaliere , Iliyan Georgiev

Inferential models have been proposed for valid and efficient prior-free probabilistic inference. As it gradually gained popularity, this theory is subject to further developments for practically challenging problems. This paper considers…

Statistics Theory · Mathematics 2024-04-15 Jiasen Yang , Xiao Wang , Chuanhai Liu

In spite of its high practical relevance, cluster specific multiple inference for linear mixed model predictors has hardly been addressed so far. While marginal inference for population parameters is well understood, conditional inference…

Statistics Theory · Mathematics 2022-02-25 Peter Kramlinger , Tatyana Krivobokova , Stefan Sperlich

Conventional methods in causal effect inferencetypically rely on specifying a valid set of control variables. When this set is unknown or misspecified, inferences will be erroneous. We propose a method for inferring average causal effects…

Methodology · Statistics 2021-06-14 Ludvig Hult , Dave Zachariah

A benefit of randomized experiments is that covariate distributions of treatment and control groups are balanced on average, resulting in simple unbiased estimators for treatment effects. However, it is possible that a particular…

Methodology · Statistics 2019-02-01 Zach Branson , Luke Miratrix

The field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

Statistics Theory · Mathematics 2023-01-19 Michael Bian , Rina Foygel Barber

Evaluating conditional coverage remains one of the most persistent challenges in assessing the reliability of predictive systems. Although conformal methods can give guarantees on marginal coverage, no method can guarantee to produce sets…

Machine Learning · Statistics 2025-12-15 Sacha Braun , David Holzmüller , Michael I. Jordan , Francis Bach

Abstaining classifiers have the option to abstain from making predictions on inputs that they are unsure about. These classifiers are becoming increasingly popular in high-stakes decision-making problems, as they can withhold uncertain…

Machine Learning · Statistics 2023-11-10 Yo Joong Choe , Aditya Gangrade , Aaditya Ramdas

Precondition inference is a non-trivial problem with important applications in program analysis and verification. We present a novel iterative method for automatically deriving preconditions for the safety and unsafety of programs. Each…

Programming Languages · Computer Science 2023-06-22 Bishoksan Kafle , Graeme Gange , Peter J. Stuckey , Peter Schachte , Harald Sondergaard

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

Econometrics · Economics 2026-05-20 Martin Huber , Jannis Kueck

Statistical methods are based on model assumptions, and it is statistical folklore that a method's model assumptions should be checked before applying it. This can be formally done by running one or more misspecification tests of model…

Methodology · Statistics 2023-04-18 M. Iqbal Shamsudheen , Christian Hennig

Randomization tests allow simple and unambiguous tests of null hypotheses, by comparing observed data to a null ensemble in which experimentally-controlled variables are randomly resampled. In behavioral and neuroscience experiments,…

Methodology · Statistics 2023-11-08 Kenneth D. Harris , Kevin J. Miller