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Multilevel linear models allow flexible statistical modelling of complex data with different levels of stratification. Identifying the most appropriate model from the large set of possible candidates is a challenging problem. In the…

Methodology · Statistics 2022-11-15 Tom Edinburgh , Ari Ercole , Stephen J. Eglen

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

Methodology · Statistics 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

Inter-Rater quantifies the reliability between multiple raters who evaluate a group of subjects. It calculates the group quantity, Fleiss kappa, and it improves on existing software by keeping information about each user and quantifying how…

Other Statistics · Statistics 2018-09-18 Daniel J. Arenas

Measurement of the interrater agreement (IRA) is critical in various disciplines. To correct for potential confounding chance agreement in IRA, Cohen's kappa and many other methods have been proposed. However, owing to the varied strategies…

Methodology · Statistics 2024-02-14 Zizhong Tian , Vernon M. Chinchilli , Chan Shen , Shouhao Zhou

This paper explores Bayesian estimation for categorical data, focusing on simple yet effective models that provide a foundation for applying more advanced methods accurately and reliably in real-world applications. We begin by revisiting…

Methodology · Statistics 2025-09-03 Jan Kalina

Rating procedure is crucial in many applied fields (e.g., educational, clinical, emergency). It implies that a rater (e.g., teacher, doctor) rates a subject (e.g., student, doctor) on a rating scale. Given raters variability, several…

Methodology · Statistics 2026-01-14 Giuseppe Mignemi , Ioanna Manolopoulou

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

Methodology · Statistics 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

We present a Bayesian nonparametric system reliability model which scales well and provides a great deal of flexibility in modeling. The Bayesian approach naturally handles the disparate amounts of component and subsystem data that may…

Methodology · Statistics 2022-03-22 Richard L. Warr , Jeremy M. Meyer , Jackson T. Curtis

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

Machine Learning · Computer Science 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

Inter-rater reliability (IRR), which is a prerequisite of high-quality ratings and assessments, may be affected by contextual variables such as the rater's or ratee's gender, major, or experience. Identification of such heterogeneity…

Methodology · Statistics 2023-02-17 Patrícia Martinková , František Bartoš , Marek Brabec

This paper investigates the inter-rater reliability of risk assessment instruments (RAIs). The main question is whether different, socially salient groups are affected differently by a lack of inter-rater reliability of RAIs, that is,…

Computers and Society · Computer Science 2023-08-30 Tim Räz

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters

This paper discusses regularized estimators in the multivariate statistical model as tools naturally arising within a Bayesian framework. First, a link is established between Bayesian estimation and inference under parameter rounding…

Methodology · Statistics 2025-09-15 Jan Kalina

We propose a multiple imputation method based on principal component analysis (PCA) to deal with incomplete continuous data. To reflect the uncertainty of the parameters from one imputation to the next, we use a Bayesian treatment of the…

Methodology · Statistics 2015-08-20 Vincent Audigier , François Husson , Julie Josse

In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework to a general calibration and validation framework by…

Methodology · Statistics 2020-08-04 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

It is becoming increasingly common for researchers to consider incorporating external information from large studies to improve the accuracy of statistical inference instead of relying on a modestly sized dataset collected internally. With…

Methodology · Statistics 2021-07-20 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

Accurate comparisons between theoretical models and experimental data are critical for scientific progress. However, inferred physical model parameters can vary significantly with the chosen physics model, highlighting the importance of…

High Energy Physics - Phenomenology · Physics 2025-10-27 Sunil Jaiswal , Chun Shen , Richard J. Furnstahl , Ulrich Heinz , Matthew T. Pratola

In many settings, a data curator links records from two files to produce datasets that are shared with secondary analysts. Analysts use the linked files to estimate models of interest, such as regressions. Such two-stage approaches do not…

Methodology · Statistics 2025-11-18 Xueyan Hu , Jerome P. Reiter

To account for measurement error (ME) in explanatory variables, Bayesian approaches provide a flexible framework, as expert knowledge about unobserved covariates can be incorporated in the prior distributions. However, given the analytic…

Methodology · Statistics 2013-08-19 Stefanie Muff , Andrea Riebler , Havard Rue , Philippe Saner , Leonhard Held

Inter-rater reliability (IRR) is one of the commonly used tools for assessing the quality of ratings from multiple raters. However, applicant selection procedures based on ratings from multiple raters usually result in a binary outcome; the…

Methodology · Statistics 2025-06-17 František Bartoš , Patrícia Martinková
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