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In many situations people make sequences of similar, but unrelated decisions. Such decision sequences are prevalent in many important contexts including judicial judgments, loan approvals, college admissions, and athletic competitions. A…

General Economics · Economics 2024-08-13 Katja Bergonzoli , Laurent Bieri , Dominic Rohner , Christian Zehnder

Mediation analyses are a statistical tool for testing the hypothesis about how the relationship between two variables may be direct or indirect via a third variable. Assessing statistical significance has been an area of active research;…

Methodology · Statistics 2021-06-07 Jason Steffener

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

Methodology · Statistics 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

The partial conjunction null hypothesis is tested in order to discover a signal that is present in multiple studies. The standard approach of carrying out a multiple test procedure on the partial conjunction (PC) $p$-values can be extremely…

Methodology · Statistics 2024-06-14 Thorsten Dickhaus , Ruth Heller , Anh-Tuan Hoang , Yosef Rinott

Symmetries are key properties of physical models and of experimental designs, but any proposed symmetry may or may not be realized in nature. In this paper, we introduce a practical and general method to test such suspected symmetries in…

High Energy Physics - Phenomenology · Physics 2022-08-25 Rupert Tombs , Christopher G. Lester

Confounding matters in almost all observational studies that focus on causality. In order to eliminate bias caused by connfounders, oftentimes a substantial number of features need to be collected in the analysis. In this case, large p…

Statistics Theory · Mathematics 2019-12-30 Shinyuu Lee , Yuru Zhu

We present the fundamental ideas underlying statistical hypothesis testing using the frequentist framework. We begin with a simple example that builds up the one-sample t-test from the beginning, explaining important concepts such as the…

Applications · Statistics 2016-12-14 Shravan Vasishth , Bruno Nicenboim

Experimental research on behavior and cognition frequently rests on stimulus or subject selection where not all characteristics can be fully controlled, even when attempting strict matching. For example, when contrasting patients to…

Methodology · Statistics 2016-08-29 Jona Sassenhagen , Phillip M. Alday

This paper studies model checking for general parametric regression models having no dimension reduction structures on the predictor vector. Using any U-statistic type test as an initial test, this paper combines the sample-splitting and…

Methodology · Statistics 2023-08-21 Feng Liang , Chuhan Wang , jiaqi Huang , Lixing Zhu

Feedback has a powerful influence on learning, but it is also expensive to provide. In large classes, it may even be impossible for instructors to provide individualized feedback. Peer assessment has received attention lately as a way of…

Applications · Statistics 2014-10-16 Dennis L. Sun , Naftali Harris , Guenther Walther , Michael Baiocchi

Testing to see whether a given data set comes from some specified distribution is among the oldest types of problems in Statistics. Many such tests have been developed and their performance studied. The general result has been that while a…

Applications · Statistics 2020-12-07 Wolfgang Rolke

Statistical hypothesis tests typically use prespecified sample sizes, yet data often arrive sequentially. Interim analyses invalidate classical error guarantees, while existing sequential methods require rigid testing preschedules or incur…

Methodology · Statistics 2026-02-17 Chris Holmes , Stephen Walker

In fairness audits, a standard objective is to detect whether a given algorithm performs substantially differently between subgroups. Properly powering the statistical analysis of such audits is crucial for obtaining informative fairness…

Applications · Statistics 2023-12-11 Harvineet Singh , Fan Xia , Mi-Ok Kim , Romain Pirracchio , Rumi Chunara , Jean Feng

When a scientist performs an experiment they normally acquire a set of measurements and are expected to demonstrate that their results are "statistically significant" thus confirming whatever hypothesis they are testing. The main method for…

Other Statistics · Statistics 2011-09-30 Jacob Levman

An observational study may be biased for estimating causal effects by failing to control for unmeasured confounders. This paper proposes a new quantity called the "sensitivity value", which is defined as the minimum strength of unmeasured…

Methodology · Statistics 2017-05-24 Qingyuan Zhao

In practice, machine learning experts are often confronted with imbalanced data. Without accounting for the imbalance, common classifiers perform poorly and standard evaluation metrics mislead the practitioners on the model's performance. A…

Machine Learning · Computer Science 2020-07-21 Ramiro Camino , Christian Hammerschmidt , Radu State

In many fields of research null hypothesis significance tests and p values are the accepted way of assessing the degree of certainty with which research results can be extrapolated beyond the sample studied. However, there are very serious…

Methodology · Statistics 2020-01-14 Michael Wood

Statistical significance of both the original and the replication study is a commonly used criterion to assess replication attempts, also known as the two-trials rule in drug development. However, replication studies are sometimes conducted…

Applications · Statistics 2024-05-31 Leonhard Held , Samuel Pawel , Charlotte Micheloud

Standard inference about a scalar parameter estimated via GMM amounts to applying a t-test to a particular set of observations. If the number of observations is not very large, then moderately heavy tails can lead to poor behavior of the…

Econometrics · Economics 2020-07-15 Ulrich K. Mueller

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

Methodology · Statistics 2016-09-06 Yi-Hui Zhou