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Scientists often use a paired comparison of the areas under the receiver operating characteristic curves to decide which continuous cancer screening test has the best diagnostic accuracy. In the paired design, all participants are screened…

Standard statistical methods that do not take proper account of the complexity of survey design can lead to erroneous inferences when applied to survey data due to unequal selection probabilities, clustering, and other design features. In…

Methodology · Statistics 2021-03-04 Jae-kwang Kim , J. N. K. Rao , Zhonglei Wang

The problem of Voodoo correlations is recognized in neuroimaging as the problem of estimating quantities of interest from the same data that was used to select them as interesting. In statistical terminology, the problem of inference…

Methodology · Statistics 2014-12-11 Yoav Benjamini , Amit Meir

We present a novel and easy-to-use method for calibrating error-rate based confidence intervals to evidence-based support intervals. Support intervals are obtained from inverting Bayes factors based on a parameter estimate and its standard…

Methodology · Statistics 2023-06-28 Samuel Pawel , Alexander Ly , Eric-Jan Wagenmakers

Central to several objective approaches to Bayesian model selection is the use of training samples (subsets of the data), so as to allow utilization of improper objective priors. The most common prescription for choosing training samples is…

Statistics Theory · Mathematics 2007-06-13 James O. Berger , Luis R. Pericchi

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

This paper examines the use of a residual bootstrap for bias correction in machine learning regression methods. Accounting for bias is an important obstacle in recent efforts to develop statistical inference for machine learning methods. We…

Machine Learning · Statistics 2015-06-02 Giles Hooker , Lucas Mentch

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

Methodology · Statistics 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

Super learner algorithm can be applied to combine results of multiple base learners to improve quality of predictions. The default method for verification of super learner results is by nested cross validation. It has been proposed by…

Machine Learning · Computer Science 2020-03-19 Krzysztof Mnich , Agnieszka Kitlas Golińska , Aneta Polewko-Klim , Witold R. Rudnicki

The repeated community-wide reuse of test sets in popular benchmark problems raises doubts about the credibility of reported test-error rates. Verifying whether a learned model is overfitted to a test set is challenging as independent test…

Machine Learning · Computer Science 2019-11-15 Roman Werpachowski , András György , Csaba Szepesvári

State estimates from weak constraint 4D-Var data assimilation can vary significantly depending on the data and model error covariances. As a result, the accuracy of these estimates heavily depends on the correct specification of both model…

Methodology · Statistics 2025-04-28 Sandra R. Babyale , Jodi Mead , Donna Calhoun , Patricia O. Azike

An important question in constructing Cross Validation (CV) estimators of the generalization error is whether rules can be established that allow "optimal" selection of the size of the training set, for fixed sample size $n$. We define the…

Statistics Theory · Mathematics 2015-11-11 Georgios Afendras , Marianthi Markatou

The problem of validating or criticising models for georeferenced data is challenging, since the conclusions can vary significantly depending on the locations of the validation set. This work proposes the use of cross-validation techniques…

Computation · Statistics 2018-02-19 Viviana G R Lobo , Thaís C O da Fonseca , Fernando A S Moura

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

This paper presents a theory of error in cross-validation testing of algorithms for predicting real-valued attributes. The theory justifies the claim that predicting real-valued attributes requires balancing the conflicting demands of…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

Modern imaging techniques heavily rely on Bayesian statistical models to address difficult image reconstruction and restoration tasks. This paper addresses the objective evaluation of such models in settings where ground truth is…

Image and Video Processing · Electrical Eng. & Systems 2026-05-29 Tom Sprunck , Marcelo Pereyra , Tobias Liaudat

Tests based on heteroskedasticity robust standard errors are an important technique in econometric practice. Choosing the right critical value, however, is not simple at all: conventional critical values based on asymptotics often lead to…

Statistics Theory · Mathematics 2025-05-07 Benedikt M. Pötscher , David Preinerstorfer

In this article, we derive concentration inequalities for the cross-validation estimate of the generalization error for subagged estimators, both for classification and regressor. General loss functions and class of predictors with both…

Machine Learning · Statistics 2010-11-24 Matthieu CORNEC

Cross-validation plays a fundamental role in Machine Learning, enabling robust evaluation of model performance and preventing overestimation on training and validation data. However, one of its drawbacks is the potential to create data…

Machine Learning · Computer Science 2025-08-28 Afonso Martini Spezia , Thomas Fontanari , Mariana Recamonde-Mendoza

The bootstrap is a widely used procedure for statistical inference because of its simplicity and attractive statistical properties. However, the vanilla version of bootstrap is no longer feasible computationally for many modern massive…

Methodology · Statistics 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang