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A different general philosophy, to be called Full Randomness (FR), for the analysis of random effects models is presented, involving a notion of reducing or preferably eliminating fixed effects, at least formally. For example, under FR…

统计方法学 · 统计学 2016-09-30 Norm Matloff

This Element offers a practical guide to estimating conditional marginal effects-how treatment effects vary with a moderating variable-using modern statistical methods. Commonly used approaches, such as linear interaction models, often…

统计方法学 · 统计学 2026-05-21 Jiehan Liu , Ziyi Liu , Yiqing Xu

Rich meta-epidemiological data sets have been collected to explore associations between intervention effect estimates and study-level characteristics. Welton et al. proposed models for the analysis of meta-epidemiological data, but these…

应用统计 · 统计学 2017-11-28 Kirsty Rhodes , David Mawdsley , Rebecca Turner , Hayley Jones , Jelena Savovic , Julian Higgins

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,…

统计方法学 · 统计学 2023-11-07 Hanxuan Ye , Xianyang Zhang , Chen Wang , Ellen L. Goode , Jun Chen

In fitting a mixture of linear regression models, normal assumption is traditionally used to model the error and then regression parameters are estimated by the maximum likelihood estimators (MLE). This procedure is not valid if the normal…

统计方法学 · 统计学 2018-11-06 Yanyuan Ma , Shaoli Wang , Lin Xu , Weixin Yao

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

统计方法学 · 统计学 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

Regression adjustments are often considered by investigators to improve the estimation efficiency of causal effect in randomized experiments when there exists many pre-experiment covariates. In this paper, we provide conditions that…

统计理论 · 数学 2018-09-25 Hanzhong Liu , Yuehan Yang

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…

统计方法学 · 统计学 2022-07-05 Ting Ye , Shuxiao Chen , Bo Zhang

Finite mixture models are widely used in econometric analyses to capture unobserved heterogeneity. This paper shows that maximum likelihood estimation of finite mixtures of parametric densities can suffer from substantial finite-sample bias…

统计方法学 · 统计学 2026-02-04 Raphaël Langevin

We consider the problem of efficient inference of the Average Treatment Effect in a sequential experiment where the policy governing the assignment of subjects to treatment or control can change over time. We first provide a central limit…

机器学习 · 统计学 2024-03-05 Thomas Cook , Alan Mishler , Aaditya Ramdas

We consider constructing model selection criteria for evaluating nonlinear mixed effects models via basis expansions. Mean functions and random functions in the mixed effects model are expressed by basis expansions, then they are estimated…

统计方法学 · 统计学 2014-02-25 Hidetoshi Matsui

Statistical inference for high dimensional parameters (HDPs) can be based on their intrinsic correlation; that is, parameters that are close spatially or temporally tend to have more similar values. This is why nonlinear mixed-effects…

统计方法学 · 统计学 2024-01-30 Nan Zheng , Noel Cadigan

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

统计方法学 · 统计学 2025-03-14 Matteo D'Alessandro , Magne Thoresen

Effect size indices are useful tools in study design and reporting because they are unitless measures of association strength that do not depend on sample size. Existing effect size indices are developed for particular parametric models or…

统计方法学 · 统计学 2025-01-08 Simon Vandekar , Ran Tao , Jeffrey Blume

Randomized experiments have been the gold standard for drawing causal inference. The conventional model-based approach has been one of the most popular ways for analyzing treatment effects from randomized experiments, which is often carried…

统计方法学 · 统计学 2024-11-19 Tianyi Qu , Jiangchuan Du , Xinran Li

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

计量经济学 · 经济学 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

Randomized experiments are the preferred approach for evaluating the effects of interventions, but they are costly and often yield estimates with substantial uncertainty. On the other hand, in silico experiments leveraging foundation models…

This paper describes a compound Poisson-based random effects structure for modeling zero-inflated data. Data with large proportion of zeros are found in many fields of applied statistics, for example in ecology when trying to model and…

应用统计 · 统计学 2009-07-29 Marie-Pierre Etienne , Eric Parent , Benoit Hugues , Bernier Jacques

The causal effect of an intervention (treatment/exposure) on an outcome can be estimated by: i) specifying knowledge about the data-generating process; ii) assessing under what assumptions a target quantity, such as for example a causal…

统计方法学 · 统计学 2021-03-05 Michael Schomaker

Does the asymptotic variance of the maximum composite likelihood estimator of a parameter of interest always decrease when the nuisance parameters are known? Will a composite likelihood necessarily become more efficient by incorporating…

统计理论 · 数学 2016-12-22 Ximing Xu , Nancy Reid , Libai Xu
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