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Quantifying the heterogeneity is an important issue in meta-analysis, and among the existing measures, the $I^2$ statistic is most commonly used. In this paper, we first illustrate with a simple example that the $I^2$ statistic is heavily…

Methodology · Statistics 2025-06-10 Ke Yang , Enxuan Lin , Wangli Xu , Liping Zhu , Tiejun Tong

Aims: To propose a general sample size framework for developing or updating a clinical prediction model using any statistical or machine learning method, based on drawing samples from anticipated posterior distributions and targeting…

Hedges' d, an existing unbiased effect size of the difference between means, assumes the variance equality. However, the assumption of the variance equality is fragile, and is often violated in practical applications. Here, we define e, a…

Methodology · Statistics 2019-01-29 Satoshi Aoki , Motomi Ito , Masakazu Shimada

This work is motivated by learning the individualized minimal clinically important difference, a vital concept to assess clinical importance in various biomedical studies. We formulate the scientific question into a high-dimensional…

Methodology · Statistics 2023-03-28 Huijie Feng , Jingyi Duan , Yang Ning , Jiwei Zhao

Recently, there as been an increasing interest in the use of heavily restricted randomization designs which enforces balance on observed covariates in randomized controlled trials. However, when restrictions are strict, there is a risk that…

Methodology · Statistics 2021-10-15 Mattias Nordin , Mårten Schultzberg

Non-linear mixed effects modeling and simulation (NLME M&S) is evaluated to be used for standardization with longitudinal data in presence of confounders. Standardization is a well-known method in causal inference to correct for confounding…

The Maximum Mean Discrepancy (MMD) has been the state-of-the-art nonparametric test for tackling the two-sample problem. Its statistic is given by the difference in expectations of the witness function, a real-valued function defined as a…

Machine Learning · Computer Science 2022-02-14 Jonas M. Kübler , Wittawat Jitkrittum , Bernhard Schölkopf , Krikamol Muandet

In this paper, we propose a robust method to estimate the average treatment effects in observational studies when the number of potential confounders is possibly much greater than the sample size. We first use a class of penalized…

Methodology · Statistics 2018-12-21 Yang Ning , Sida Peng , Kosuke Imai

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

We investigate the optimal design of experimental studies that have pre-treatment outcome data available. The average treatment effect is estimated as the difference between the weighted average outcomes of the treated and control units. A…

Linear Mixed Effects (LME) models have been widely applied in clustered data analysis in many areas including marketing research, clinical trials, and biomedical studies. Inference can be conducted using maximum likelihood approach if…

Methodology · Statistics 2022-11-10 Hao Chen , Lanshan Han , Alvin Lim

The determination of the sample size required by a crossover trial typically depends on the specification of one or more variance components. Uncertainty about the value of these parameters at the design stage means that there is often a…

Methodology · Statistics 2018-03-28 Michael Grayling , Adrian Mander , James Wason

Clinical prediction models are estimated using a sample of limited size from the target population, leading to uncertainty in predictions, even when the model is correctly specified. Generally, not all patient profiles are observed…

Methodology · Statistics 2024-02-09 Doranne Thomassen , Saskia le Cessie , Hans van Houwelingen , Ewout Steyerberg

The solution to fine tuning is one of the principal motivations for supersymmetry. However constraints on the parameter space of the Minimal Supersymmetric Standard Model (MSSM) suggest it may also require fine tuning (although to a much…

High Energy Physics - Phenomenology · Physics 2007-10-15 Peter Athron , D. J. Miller

Effect size measures and visualization techniques aimed at maximizing the interpretability and comparability of results from statistical models have long been of great importance and are recently again receiving increased attention in the…

Methodology · Statistics 2022-11-08 Hannah Kümpel , Sabine Hoffmann

Subjective responses from Multimedia Quality Assessment (MQA) experiments are conventionally analysed with methods not suitable for the data type these responses represent. Furthermore, obtaining subjective responses is resource intensive.…

Multimedia · Computer Science 2022-10-07 Jakub Nawała , Lucjan Janowski , Bogdan Ćmiel , Krzysztof Rusek , Pablo Pérez

The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Traditional meta-analysis assumes that the effect sizes estimated in individual studies follow a Gaussian distribution. However, this distributional assumption is not always satisfied in practice, leading to potentially biased results. In…

Methodology · Statistics 2024-04-23 Wei Liang , Haicheng Huang , Hongsheng Dai , Yinghui Wei

We propose a novel method for measuring the discrepancy between a set of samples and a desired posterior distribution for Bayesian inference. Classical methods for assessing sample quality like the effective sample size are not appropriate…

Machine Learning · Statistics 2026-05-01 Narayan Srinivasan , Matthew Sutton , Christopher Drovandi , Leah F South

Comparative effectiveness evidence from randomized trials may not be directly generalizable to a target population of substantive interest when, as in most cases, trial participants are not randomly sampled from the target population.…

Methodology · Statistics 2022-04-12 Fan Li , Ashley L. Buchanan , Stephen R. Cole