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Statistical insignificance does not suggest the absence of effect, yet scientists must often use null results as evidence of negligible (near-zero) effect size to falsify scientific hypotheses. Doing so must assess a result's null strength,…

A concentration index, a standardized covariance between a health variable and relative income ranks, is often used to quantify income-related health inequalities. There is a lack of formal approach to study the effect of an exposure, e.g.,…

统计方法学 · 统计学 2025-01-14 Mohammad Ghasempour , Xavier de Luna , Per E. Gustafsson

In many applications, it is of interest to assess the relative contribution of features (or subsets of features) toward the goal of predicting a response -- in other words, to gauge the variable importance of features. Most recent work on…

统计方法学 · 统计学 2025-10-23 Brian D. Williamson , Peter B. Gilbert , Noah R. Simon , Marco Carone

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

统计方法学 · 统计学 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky

Missing data often result in undesirable bias and loss of efficiency. These issues become substantial when the response mechanism is nonignorable, meaning that the response model depends on unobserved variables. To manage nonignorable…

统计方法学 · 统计学 2024-12-30 Kenji Beppu , Jinung Choi , Kosuke Morikawa , Jongho Im

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…

统计方法学 · 统计学 2022-03-25 Paul Patrone , Anthony Kearsley

It is common practice for data scientists to acquire and integrate disparate data sources to achieve higher quality results. But even with a perfectly cleaned and merged data set, two fundamental questions remain: (1) is the integrated data…

数据库 · 计算机科学 2015-12-29 Yeounoh Chung , Michael Lind Mortensen , Carsten Binnig , Tim Kraska

We consider estimating the proportion of random variables for two types of composite null hypotheses: (i) the means or medians of the random variables belonging to a non-empty, bounded interval; (ii) the means or medians of the random…

统计理论 · 数学 2025-03-24 Xiongzhi Chen

The problem of f-divergence estimation is important in the fields of machine learning, information theory, and statistics. While several nonparametric divergence estimators exist, relatively few have known convergence properties. In…

信息论 · 计算机科学 2015-03-16 Kevin R. Moon , Alfred O. Hero

Taking the Fourier integral theorem as our starting point, in this paper we focus on natural Monte Carlo and fully nonparametric estimators of multivariate distributions and conditional distribution functions. We do this without the need…

统计方法学 · 统计学 2021-06-15 Nhat Ho , Stephen G. Walker

The advent and subsequent widespread availability of preventive vaccines has altered the course of public health over the past century. Despite this success, effective vaccines to prevent many high-burden diseases, including HIV, have been…

统计方法学 · 统计学 2020-11-17 Nima S. Hejazi , Mark J. van der Laan , Holly E. Janes , Peter B. Gilbert , David C. Benkeser

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

统计理论 · 数学 2017-03-27 Paul T. von Hippel

We derive the sample size formulae for comparing two negative binomial rates based on both the relative and absolute rate difference metrics in noninferiority and equivalence trials with unequal follow-up times, and establish an approximate…

统计方法学 · 统计学 2017-05-24 Yongqiang Tang

Large-scale multiple testing is a fundamental problem in high dimensional statistical inference. It is increasingly common that various types of auxiliary information, reflecting the structural relationship among the hypotheses, are…

统计方法学 · 统计学 2021-10-07 Hongyuan Cao , Jun Chen , Xianyang Zhang

While there exists a large amount of literature on the general challenges of and best practices for trustworthy online A/B testing, there are limited studies on sample size estimation, which plays a crucial role in trustworthy and efficient…

统计方法学 · 统计学 2023-08-21 Jing Zhou , Jiannan Lu , Anas Shallah

In statistical survey analysis, (partial) non-responders are integral elements during data acquisition. Treating missing values during data preparation and data analysis is therefore a non-trivial underpinning. Focusing on different data…

应用统计 · 统计学 2021-01-20 Maria Thurow , Florian Dumpert , Burim Ramosaj , Markus Pauly

The analysis of large-scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two-group model jointly models the distribution of the test statistics with mixtures…

统计方法学 · 统计学 2023-03-10 Francesco Denti , Stefano Peluso , Michele Guindani , Antonietta Mira

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

统计方法学 · 统计学 2025-08-01 Jeonghwa Lee , Chloe Breece

The focus of modern biomedical studies has gradually shifted to explanation and estimation of joint effects of high dimensional predictors on disease risks. Quantifying uncertainty in these estimates may provide valuable insight into…

统计方法学 · 统计学 2021-03-09 Zhe Fei , Yi Li

Network interference amounts to the treatment status of one unit affecting the potential outcome of other units in the population. Testing for spillover effects in this setting makes the null hypothesis non-sharp. An interesting approach to…

统计方法学 · 统计学 2025-09-24 Supriya Tiwari , Pallavi Basu