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This paper develops a test for homogeneity in finite mixture models where the mixing proportions are known a priori (taken to be 0.5) and a common nuisance parameter is present. Statistical tests based on the notion of Projected Likelihood…

统计理论 · 数学 2008-12-18 Debapriya Sengupta , Rahul Mazumder

Many scientific and engineering challenges -- ranging from pharmacokinetic drug dosage allocation and personalized medicine to marketing mix (4Ps) recommendations -- require an understanding of the unobserved heterogeneity in order to…

统计方法学 · 统计学 2017-08-17 Jelena Bradic , Gerda Claeskens , Thomas Gueuning

Testing for regime switching when the regime switching probabilities are specified either as constants (`mixture models') or are governed by a finite-state Markov chain (`Markov switching models') are long-standing problems that have also…

计量经济学 · 经济学 2017-11-13 Mika Meitz , Pentti Saikkonen

This article introduces the pammtools package, which facilitates data transformation, estimation and interpretation of Piece-wise exponential Additive Mixed Models. A special focus is on time-varying effects and cumulative effects of…

统计计算 · 统计学 2018-06-05 Andreas Bender , Fabian Scheipl

A statistical model is a mathematical representation of an often simplified or idealised data-generating process. In this paper, we focus on a particular type of statistical model, called linear mixed models (LMMs), that is widely used in…

统计方法学 · 统计学 2020-01-23 Emi Tanaka , Francis K. C. Hui

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

统计方法学 · 统计学 2019-11-19 Alexander Kukush , Igor Mandel

Evaluations of large language models (LLMs) suffer from instability, where small changes of random factors such as few-shot examples can lead to drastic fluctuations of scores and even model rankings. Moreover, different LLMs can have…

机器学习 · 计算机科学 2025-09-17 Yiyang Li , Yonghuang Wu , Ying Luo , Liangtai Sun , Zishu Qin , Lin Qiu , Xuezhi Cao , Xunliang Cai

Mixture cure models have been widely used to analyze survival data with a cure fraction. They assume that a subgroup of the individuals under study will never experience the event (cured subjects). So, the goal is twofold: to study both the…

统计方法学 · 统计学 2024-02-01 Ana López-Cheda , M. Amalia Jácome , Ignacio López-de-Ullibarri

Evaluation benchmarks are the cornerstone of measuring capabilities of large language models (LLMs), as well as driving progress in said capabilities. Originally designed to make claims about capabilities (or lack thereof) in fully…

Mixed-effect models are flexible tools for researchers in a myriad of fields, but that flexibility comes at the cost of complexity and if users are not careful in how their model is specified, they could be making faulty inferences from…

统计方法学 · 统计学 2023-08-28 Keith R. Lohse , Allan J. Kozlowski , Michael J. Strube

Reliability sensitivity analysis is concerned with measuring the influence of a system's uncertain input parameters on its probability of failure. Statistically dependent inputs present a challenge in both computing and interpreting these…

应用统计 · 统计学 2023-06-21 Max Ehre , Iason Papaioannou , Daniel Straub

Combining matching and regression for causal inference provides double-robustness in removing treatment effect estimation bias due to confounding variables. In most real-world applications, however, treatment and control populations are not…

统计方法学 · 统计学 2015-07-14 Alireza S. Mahani , Mansour T. A. Sharabiani

Linear mixed models with large imbalanced crossed random effects structures pose severe computational problems for maximum likelihood estimation and for Bayesian analysis. The costs can grow as fast as $N^{3/2}$ when there are N…

统计方法学 · 统计学 2017-05-30 K. Gao , A. B. Owen

While robust standard errors and related facilities are available in R for many types of statistical models, the facilities are notably lacking for models estimated via lme4. This is because the necessary statistical output, including the…

统计方法学 · 统计学 2019-01-18 Ting Wang , Edgar C. Merkle

Using the LRT statistic, a model R^2 is proposed for the generalized linear mixed model for assessing the association between the correlated outcomes and fixed effects. The R^2 compares the full model to a null model with all fixed effects…

统计方法学 · 统计学 2010-11-03 Lloyd J. Edwards

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

统计计算 · 统计学 2022-12-27 Christian Röver , Tim Friede

We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

统计方法学 · 统计学 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

Statistical models of unobserved heterogeneity are typically formalized as mixtures of simple parametric models and interest naturally focuses on testing for homogeneity versus general mixture alternatives. Many tests of this type can be…

统计方法学 · 统计学 2016-03-22 Jiaying Gu , Roger Koenker , Stanislav Volgushev

Mixed-effects models have emerged as the gold standard of statistical analysis in different sub-fields of linguistics (Baayen, Davidson & Bates, 2008; Johnson, 2009; Barr, et al, 2013; Gries, 2015). One problematic feature of these models…

应用统计 · 统计学 2017-01-19 Christopher Eager , Joseph Roy

In this paper, we are concerned with how to select significant variables in semiparametric modeling. Variable selection for semiparametric regression models consists of two components: model selection for nonparametric components and…

统计理论 · 数学 2008-12-18 Runze Li , Hua Liang