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In bioequivalence design, power analyses dictate how much data must be collected to detect the absence of clinically important effects. Power is computed as a tail probability in the sampling distribution of the pertinent test statistics.…

Methodology · Statistics 2025-01-27 Luke Hagar , Nathaniel T. Stevens

Batch effects are pervasive in biomedical studies. One approach to address the batch effects is repeatedly measuring a subset of samples in each batch. These remeasured samples are used to estimate and correct the batch effects. However,…

Methodology · Statistics 2023-11-07 Hanxuan Ye , Xianyang Zhang , Chen Wang , Ellen L. Goode , Jun Chen

To improve the generalizability of impact evaluations, recent research has examined statistical methods for selecting representative samples of sites. However, these methods rely on having rich data on impact moderators for all sites in the…

Methodology · Statistics 2022-01-17 Robert B. Olsen

Hierarchically-organized data arise naturally in many psychology and neuroscience studies. As the standard assumption of independent and identically distributed samples does not hold for such data, two important problems are to accurately…

Statistics Theory · Mathematics 2018-09-03 Irene Dowding , Stefan Haufe

Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

Econometrics · Economics 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang

In an observational study, it is common to leverage known null effect to detect bias. One such strategy is to set aside a placebo sample -- a subset of data immune from the hypothesized cause-and-effect relationship. Existence of an effect…

Methodology · Statistics 2022-07-05 Ting Ye , Shuxiao Chen , Bo Zhang

The measurement of the efficiency of an event selection is always an important part of the analysis of experimental data. The statistical techniques which are needed to determine the efficiency and its uncertainty are reviewed. Frequentist…

Data Analysis, Statistics and Probability · Physics 2012-08-28 Diego Casadei

The concept of biased data is well known and its practical applications range from social sciences and biology to economics and quality control. These observations arise when a sampling procedure chooses an observation with probability that…

Statistics Theory · Mathematics 2007-06-13 Sam Efromovich

The goal of importance sampling is to estimate the expected value of a given function with respect to a probability measure $\nu$ using a random sample of size $n$ drawn from a different probability measure $\mu$. If the two measures $\mu$…

Probability · Mathematics 2017-06-22 Sourav Chatterjee , Persi Diaconis

Computational method for statistical measures of reliability, confidence, and assurance are available for infinite population size. If the population size is finite and small compared to the number of samples tested, these computational…

Information Theory · Computer Science 2023-05-29 Sanjay M. Joshi

Win statistics have gained increasing popularity as primary analysis methods for clinical trials with hierarchical endpoints (HEs) as primary endpoints. However, existing sample size and power calculation approaches in trial design still…

Methodology · Statistics 2026-05-19 Baoshan Zhang , Huiman X. Barnhart , Yuan Wu , Roland A. Matsouaka

In this paper, we develop an approach for the exact determination of the minimum sample size for the estimation of a Poisson parameter with prescribed margin of error and confidence level. The exact computation is made possible by reducing…

Statistics Theory · Mathematics 2008-06-19 Xinjia Chen

Phylodynamics seeks to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. One way to accomplish this task formulates an observed sequence data likelihood exploiting…

A sensitivity analysis in an observational study determines the magnitude of bias from nonrandom treatment assignment that would need to be present to alter the qualitative conclusions of a na\"{\i}ve analysis that presumes all biases were…

Applications · Statistics 2012-03-19 Paul R. Rosenbaum

Machine-learning techniques have become fundamental in high-energy physics and, for new physics searches, it is crucial to know their performance in terms of experimental sensitivity, understood as the statistical significance of the…

High Energy Physics - Phenomenology · Physics 2022-11-10 Ernesto Arganda , Xabier Marcano , Víctor Martín Lozano , Anibal D. Medina , Andres D. Perez , Manuel Szewc , Alejandro Szynkman

Several systematic studies have suggested that a large fraction of published research is not reproducible. One probable reason for low reproducibility is insufficient sample size, resulting in low power and low positive predictive value. It…

General Economics · Economics 2020-07-01 Oliver Braganza

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

Meta-analysis aims to combine effect measures from several studies. For continuous outcomes, the most popular effect measures use simple or standardized differences in sample means. However, a number of applications focus on the absolute…

Methodology · Statistics 2023-10-03 Elena Kulinskaya , David C. Hoaglin

Survey weighting allows researchers to account for bias in survey samples, due to unit nonresponse or convenience sampling, using measured demographic covariates. Unfortunately, in practice, it is impossible to know whether the estimated…

Methodology · Statistics 2023-03-07 Erin Hartman , Melody Huang

Likelihood methods for measuring statistical evidence obey the likelihood principle while maintaining bounded and well-controlled frequency properties. These methods lend themselves to sequential study designs because they measure the…

Methodology · Statistics 2017-11-07 Jeffrey D Blume , Leena Choi
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