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Two-sided statistical tests and p-values are well defined only when the test statistic in question has a symmetric distribution. A new two-sided p-value called conditional p-value $P_C$ is introduced here. It is closely related to the…

Statistics Theory · Mathematics 2008-10-14 Elena Kulinskaya

Several approaches to testing the hypothesis that two histograms are drawn from the same distribution are investigated. We note that single-sample continuous distribution tests may be adapted to this two-sample grouped data situation. The…

Data Analysis, Statistics and Probability · Physics 2008-04-03 Frank C. Porter

The most accurate method to combine measurement from different experiments is to build a combined likelihood function and use it to perform the desired inference. This is not always possible for various reasons, hence approximate methods…

Data Analysis, Statistics and Probability · Physics 2017-03-28 Luca Lista

Biometric recognition is used across a variety of applications from cyber security to border security. Recent research has focused on ensuring biometric performance (false negatives and false positives) is fair across demographic groups.…

Methodology · Statistics 2022-08-24 Michael Schuckers , Sandip Purnapatra , Kaniz Fatima , Daqing Hou , Stephanie Schuckers

We address the problem of non-parametric multiple model comparison: given $l$ candidate models, decide whether each candidate is as good as the best one(s) or worse than it. We propose two statistical tests, each controlling a different…

Machine Learning · Computer Science 2019-10-29 Jen Ning Lim , Makoto Yamada , Bernhard Schölkopf , Wittawat Jitkrittum

When testing for replication of results from a primary study with two-sided hypotheses in a follow-up study, we are usually interested in discovering the features with discoveries in the same direction in the two studies. The direction of…

Methodology · Statistics 2015-03-10 Ruth Heller , Marina Bogomolov , Yoav Benjamini , Tamar Sofer

We consider the problem of testing for treatment effect heterogeneity in observational studies, and propose a nonparametric test based on multisample U-statistics. To account for potential confounders, we use reweighted data where the…

Methodology · Statistics 2021-03-30 Maozhu Dai , Weining Shen , Hal S. Stern

Cluster analysis is an unsupervised learning strategy that can be employed to identify subgroups of observations in data sets of unknown structure. This strategy is particularly useful for analyzing high-dimensional data such as microarray…

Methodology · Statistics 2016-10-07 Erika S. Helgeson , Eric Bair

N-of-1 trials allow inference between two treatments given to a single individual. Most often, clinical investigators analyze an individual's N-of-1 trial data with usual t-tests or simple nonparametric methods. These simple methods do not…

Methodology · Statistics 2020-07-01 Jillian Tang , Reid D. Landes

We evaluate two different methods for the integration of prediction uncertainty into diagnostic image classifiers to increase patient safety in deep learning. In the first method, Monte Carlo sampling is applied with dropout at test time to…

Image and Video Processing · Electrical Eng. & Systems 2019-08-05 Max-Heinrich Laves , Sontje Ihler , Tobias Ortmaier

False positives are equally dangerous as false negatives. Ideally the false positive rate should remain 0 or very close to 0. Even a slightest increase in false positive rate is considered as undesirable. Although the specific methods…

Cryptography and Security · Computer Science 2013-06-20 Umakant Mishra

We present the asymptotic distribution for two-sided tests based on the profile likelihood ratio with lower and upper boundaries on the parameter of interest. This situation is relevant for branching ratios and the elements of unitary…

Data Analysis, Statistics and Probability · Physics 2012-10-26 Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells

If the same data is used for both clustering and for testing a null hypothesis that is formulated in terms of the estimated clusters, then the traditional hypothesis testing framework often fails to control the Type I error. Gao et al.…

Methodology · Statistics 2024-05-28 Youngjoo Yun , Yinqiu He

Efficacy testing is a cornerstone of clinical trials, ensuring that medical interventions achieve their intended therapeutic effects. Over the decades, a wide range of statistical methodologies have been developed to address the…

Other Statistics · Statistics 2026-04-13 Dhrubajyoti Ghosh , Samhita Pal

Subjects in clinical studies that investigate paired body parts can carry a disease on either both sides (bilateral) or a single side (unilateral) of the organs. Data in such studies may consist of both bilateral and unilateral records.…

Applications · Statistics 2025-11-06 Shuyi Liang , Chang-Xing Ma

This paper contains two finite-sample results concerning the sign test. First, we show that the sign-test is unbiased with independent, non-identically distributed data for both one-sided and two-sided hypotheses. The proof for the…

Econometrics · Economics 2024-02-13 Yong Cai

For vision-and-language reasoning tasks, both fully connectionist, end-to-end methods and hybrid, neuro-symbolic methods have achieved high in-distribution performance. In which out-of-distribution settings does each paradigm excel? We…

Computation and Language · Computer Science 2022-10-28 Wang Zhu , Jesse Thomason , Robin Jia

We propose a new statistic to improve the pooled version of the triangle test used to combat the fingerprint-copy counter-forensic attack against PRNU-based camera identification [1]. As opposed to the original version of the test, the new…

Cryptography and Security · Computer Science 2018-08-29 Mauro Barni , Hector Santoyo Garcia , Benedetta Tondi

Friedman test is a nonparametric method that proposed for analyzing data from a randomized complete block design as a robust alternative to parametric method and widely applied in many fields such as agriculture, biology, business,…

Methodology · Statistics 2022-02-21 Elsayed A. H. Elamir

Introduction: there is an ongoing debate about directional inference of two-sided hypothesis tests for which some authors argue that rejecting $\theta = \theta_0$ does not allow to conclude that $\theta > \theta_0$ or $\theta < \theta_0$…

Other Statistics · Statistics 2021-03-24 André Gillibert , Jacques Bénichou , Bruno Falissard