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For testing the statistical significance of a treatment effect, we usually compare between two parts of a population, one is exposed to the treatment, and the other is not exposed to it. Standard parametric and nonparametric two-sample…

Computation · Statistics 2012-11-02 Bikram Karmakar , Kumaresh Dhara , Kushal Kumar Dey , Analabha Basu , Anil Ghosh

The increasing interest in subpopulation analysis has led to the development of various new trial designs and analysis methods in the fields of personalized medicine and targeted therapies. In this paper, subpopulations are defined in terms…

Methodology · Statistics 2020-12-01 Roland Gerard Gera , Tim Friede

Mixture models are often used to identify meaningful subpopulations (i.e., clusters) in observed data such that the subpopulations have a real-world interpretation (e.g., as cell types). However, when used for subpopulation discovery,…

Methodology · Statistics 2024-03-04 Jiawei Li , Jonathan H. Huggins

Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

Methodology · Statistics 2012-03-06 David Shilane , Derek Bean

Machine learning models often perform poorly on subgroups that are underrepresented in the training data. Yet, little is understood on the variation in mechanisms that cause subpopulation shifts, and how algorithms generalize across such…

Machine Learning · Computer Science 2023-08-21 Yuzhe Yang , Haoran Zhang , Dina Katabi , Marzyeh Ghassemi

I introduce a simple permutation procedure to test conventional (non-sharp) hypotheses about the effect of a binary treatment in the presence of a finite number of large, heterogeneous clusters when the treatment effect is identified by…

Econometrics · Economics 2023-02-08 Andreas Hagemann

Suppose that we are interested in the comparison of two independent categorical variables. Suppose also that the population is divided into subpopulations or groups. Notice that the distribution of the target variable may vary across…

Methodology · Statistics 2024-05-08 M. V. Alba-Fernández , M. D. Jiménez--Gamero , F. J. Ariza-López

Collecting genomics data across multiple heterogeneous populations (e.g., across different cancer types) has the potential to improve our understanding of disease. Despite sequencing advances, though, resources often remain a constraint…

Methodology · Statistics 2024-03-05 Yunyi Shen , Lorenzo Masoero , Joshua G. Schraiber , Tamara Broderick

We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null…

Statistics Theory · Mathematics 2007-06-13 Larry Goldstein , Yosef Rinott

Parameters of sub-populations can be more relevant than super-population ones. For example, a healthcare provider may be interested in the effect of a treatment plan for a specific subset of their patients; policymakers may be concerned…

Methodology · Statistics 2023-03-22 Ying Jin , Dominik Rothenhäusler

Suppose a researcher observes individuals within a county within a state. Given concerns about correlation across individuals, it is common to group observations into clusters and conduct inference treating observations across clusters as…

Econometrics · Economics 2022-01-24 Yong Cai

Realizing sufficient separability between the distributions of healthy and pathological samples is a critical obstacle for pathology detection convolutional models. Moreover, these models exhibit a bias for contrast-based images, with…

Image and Video Processing · Electrical Eng. & Systems 2024-07-26 P. Bilha Githinji , Xi Yuan , Zhenglin Chen , Ijaz Gul , Dingqi Shang , Wen Liang , Jianming Deng , Dan Zeng , Dongmei yu , Chenggang Yan , Peiwu Qin

In many applications, different populations are compared using data that are sampled in a biased manner. Under sampling biases, standard methods that estimate the difference between the population means yield unreliable inferences. Here we…

Statistics Theory · Mathematics 2019-11-12 Dave Zachariah , Petre Stoica

In the era of fast-paced precision medicine, observational studies play a major role in properly evaluating new treatments in clinical practice. Yet, unobserved confounding can significantly compromise causal conclusions drawn from…

Machine Learning · Statistics 2026-03-20 Piersilvio De Bartolomeis , Javier Abad , Konstantin Donhauser , Fanny Yang

We develop a methodology for assessing the robustness of models to subpopulation shift---specifically, their ability to generalize to novel data subpopulations that were not observed during training. Our approach leverages the class…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Shibani Santurkar , Dimitris Tsipras , Aleksander Madry

Epidemiology aims at identifying subpopulations of cohort participants that share common characteristics (e.g. alcohol consumption) to explain risk factors of diseases in cohort study data. These data contain information about the…

Sub-population shift is a specific type of domain shift that highlights changes in data distribution within specific sub-groups or populations between training and testing. Sub-population shift accounts for a significant source of…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yijiang Pang , Bao Hoang , Jiayu Zhou

Determining the strength of non-linear statistical dependencies between two variables is a crucial matter in many research fields. The established measure for quantifying such relations is the mutual information. However, estimating mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 Damián G. Hernández , Inés Samengo

Permutation tests are a distribution free way of performing hypothesis tests. These tests rely on the condition that the observed data are exchangeable among the groups being tested under the null hypothesis. This assumption is easily…

Methodology · Statistics 2017-12-14 Daniell Toth

Hypothesis testing in high dimensional data is a notoriously difficult problem without direct access to competing models' likelihood functions. This paper argues that statistical divergences can be used to quantify the difference between…

Data Analysis, Statistics and Probability · Physics 2024-08-02 Jeremy J. H. Wilkinson , Christopher G. Lester
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