{"title":"Revisiting Estimation of Number of Trials in Binomial Distribution","authors":"Mina Georgieva, Brani Vidakovic","doi":"10.1111/insr.12608","DOIUrl":"https://doi.org/10.1111/insr.12608","url":null,"abstract":"<div>\u0000 \u0000 <p>Estimating the parameter \u0000<span></span><math>\u0000 <mi>n</mi></math> when \u0000<span></span><math>\u0000 <mi>p</mi></math> is known or simultaneous estimation of \u0000<span></span><math>\u0000 <mi>n</mi></math> and \u0000<span></span><math>\u0000 <mi>p</mi></math> of the binomial distribution based on \u0000<span></span><math>\u0000 <mi>k</mi>\u0000 <mo>≥</mo>\u0000 <mn>1</mn></math> independent observations has been considered by many authors over the last several decades. A range of estimators have been proposed, and questions regarding asymptotic and small sample properties received adequate treatment. In this paper, we provide an extensive review and a comprehensive performance comparison of the estimators from the literature. We propose a conceptually simple estimator of \u0000<span></span><math>\u0000 <mi>n</mi></math> that uses the marginal likelihood when \u0000<span></span><math>\u0000 <mi>p</mi></math> is integrated out by simultaneous optimisation w.r.t. \u0000<span></span><math>\u0000 <mi>n</mi></math> and the hyperparameters. We compare the proposed estimator with various existing estimators and find its performance competitive and, in some scenarios, superior.</p>\u0000 </div>","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 2","pages":"246-266"},"PeriodicalIF":1.8,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144773904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Conversation With Amy Racine-Poon","authors":"Oleksandr Sverdlov","doi":"10.1111/insr.12605","DOIUrl":"https://doi.org/10.1111/insr.12605","url":null,"abstract":"<div>\u0000 \u0000 <p><b>Professor Dr. Amy Racine-Poon is best known for her interdisciplinary contributions as an applied Bayesian statistician in the pharmaceutical industry and healthcare. She was born in Hong Kong and obtained a BA with upper honors in Mathematics (1970) from the Chinese University of Hong Kong. She earned a PhD in statistics from the University of California, Berkeley, under the supervision of Erich L. Lehmann. She worked as a Lecturer at the Department of Statistics at UC Berkeley (1975–1977) and as a Statistician at the Biometry Branch of the National Institute of Environmental Health in Research Triangle Park, North Carolina (1977–1980). Amy moved to Basel, Switzerland, in 1981 to join Ciba-Geiby/Novartis AG, where she worked for 42 years (1981–2023) across different therapeutic areas and stages of drug development, applying her skills in advanced statistical and pharmacometric methodologies that led to the development of large number of new drugs. During her career, she was also a Visiting Professor at the Department of Mathematics, Imperial College London (1995–1997) and a Volunteer Statistical Expert at Bill & Melinda Gates Foundation, Seattle, Washington (2015–2019). Amy Racine-Poon's numerous honors include the Royal Statistical Society Greenfield Industrial Medal for Innovative Use of Statistics in the Industries (1995), Fellow of the American Statistical Association (1997), Novartis Distinguished Scientist Award (1999), American Statistical Association Youden Interlaboratory Research Award (2020) and the Sheiner-Beal Pharmacometrics Award (2024) from the American Society of Clinical Pharmacology and Therapeutics. The following conversation took place between Oleksandr Sverdlov (Alex) and Amy Racine-Poon (Amy) in October 2024.</b></p>\u0000 </div>","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 2","pages":"183-198"},"PeriodicalIF":1.8,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144773905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Statistics: Multivariate Data Integration Using R; Methods and Applications With the mixOmics Package Kim-Anh Lê Cao, Zoe Marie WelhamChapman & Hall/CRC, 2021, xxi + 308 pages, £84.99/$115.00, hardcover ISBN: 978-1032128078 eBook ISBN: 9781003026860","authors":"Krzysztof Podgórski","doi":"10.1111/insr.12599","DOIUrl":"https://doi.org/10.1111/insr.12599","url":null,"abstract":"","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"92 3","pages":"483-484"},"PeriodicalIF":1.7,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Machine Learning Theory and Applications: Hands-On Use Cases With Python on Classical and Quantum Machines, Xavier Vasques, John Wiley & Sons, 2024, xx + 487 pages, $89.95, hardcover ISBN: 978-1-394-22061-8","authors":"Shuangzhe Liu","doi":"10.1111/insr.12602","DOIUrl":"https://doi.org/10.1111/insr.12602","url":null,"abstract":"","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"92 3","pages":"490-491"},"PeriodicalIF":1.7,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Object Oriented Data Analysis J. S. Marron and I. L. DrydenChapman & Hall/CRC, 2022, xii + 424 pages, softcover ISBN: 978-0-8153-9282-8 (hbk) ISBN: 978-1-032-11480-4 (pbk) ISBN: 978-1-351-18967-5 (ebk)","authors":"Debashis Ghosh","doi":"10.1111/insr.12600","DOIUrl":"https://doi.org/10.1111/insr.12600","url":null,"abstract":"","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"92 3","pages":"485-486"},"PeriodicalIF":1.7,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Data Analytics and Machine Learning: Navigating the Big Data Landscape Edited by Pushpa Singh, Asha Rani Mishra, and Payal GargSpringer, 2024, 366 pages, $169.99, hardcover ISBN: 978-9819704477","authors":"Brian W. Sloboda","doi":"10.1111/insr.12603","DOIUrl":"https://doi.org/10.1111/insr.12603","url":null,"abstract":"","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 1","pages":"179-182"},"PeriodicalIF":1.7,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Clustering Longitudinal Data: A Review of Methods and Software Packages","authors":"Zihang Lu","doi":"10.1111/insr.12588","DOIUrl":"10.1111/insr.12588","url":null,"abstract":"<p>Clustering of longitudinal data is becoming increasingly popular in many fields such as social sciences, business, environmental science, medicine and healthcare. However, it is often challenging due to the complex nature of the data, such as dependencies between observations collected over time, missingness, sparsity and non-linearity, making it difficult to identify meaningful patterns and relationships among the data. Despite the increasingly common application of cluster analysis for longitudinal data, many existing methods are still less known to researchers, and limited guidance is provided in choosing between methods and software packages. In this paper, we review several commonly used methods for clustering longitudinal data. These methods are broadly classified into three categories, namely, model-based approaches, algorithm-based approaches and functional clustering approaches. We perform a comparison among these methods and their corresponding R software packages using real-life datasets and simulated datasets under various conditions. Findings from the analyses and recommendations for using these approaches in practice are discussed.</p>","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 3","pages":"425-458"},"PeriodicalIF":1.8,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/insr.12588","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zeyi Wang, Eric Bridgeford, Shangsi Wang, Joshua T. Vogelstein, Brian Caffo
{"title":"Statistical Analysis of Data Repeatability Measures","authors":"Zeyi Wang, Eric Bridgeford, Shangsi Wang, Joshua T. Vogelstein, Brian Caffo","doi":"10.1111/insr.12591","DOIUrl":"10.1111/insr.12591","url":null,"abstract":"<div>\u0000 \u0000 <p>The advent of modern data collection and processing techniques has seen the size, scale and complexity of data grow exponentially. A seminal step in leveraging these rich datasets for downstream inference is understanding the characteristics of the data which are repeatable—the aspects of the data that are able to be identified under duplicated analyses. Conflictingly, the utility of traditional repeatability measures, such as the intra-class correlation coefficient, under these settings is limited. In recent work, novel data repeatability measures have been introduced in the context where a set of subjects are measured twice or more, including: fingerprinting, rank sums and generalisations of the intra-class correlation coefficient. However, the relationships between, and the best practices among, these measures remains largely unknown. In this manuscript, we formalise a novel repeatability measure, discriminability. We show that it is deterministically linked with the intra-class correlation coefficients under univariate random effect models and has the desired property of optimal accuracy for inferential tasks using multivariate measurements. Additionally, we overview and systematically compare existing repeatability statistics with discriminability, using both theoretical results and simulations. We show that the rank sum statistic is deterministically linked to a consistent estimator of discriminability. The statistical power of permutation tests derived from these measures are compared numerically under Gaussian and non-Gaussian settings, with and without simulated batch effects. Motivated by both theoretical and empirical results, we provide methodological recommendations for each benchmark setting to serve as a resource for future analyses. We believe these recommendations will play an important role towards improving repeatability in fields such as functional magnetic resonance imaging, genomics, pharmacology and more.</p>\u0000 </div>","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 3","pages":"517-543"},"PeriodicalIF":1.8,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New Scheme of Empirical Likelihood Method for Ranked Set Sampling: Applications to Two One-Sample Problems","authors":"Soohyun Ahn, Xinlei Wang, Chul Moon, Johan Lim","doi":"10.1111/insr.12589","DOIUrl":"10.1111/insr.12589","url":null,"abstract":"<p>We propose a novel empirical likelihood (EL) approach for ranked set sampling (RSS) that leverages the ranking structure and information of the RSS. Our new proposal suggests constraining the sum of the within-stratum probabilities of each rank stratum to \u0000<span></span><math>\u0000 <mn>1</mn>\u0000 <mo>/</mo>\u0000 <mi>H</mi></math>, where \u0000<span></span><math>\u0000 <mi>H</mi></math> is the number of rank strata. The use of the additional constraints eliminates the need of subjective weight selection in unbalanced RSS and facilitates a seamless extension of the method for balanced RSS to unbalanced RSS. We apply our new proposal to testing one sample population mean and evaluate its performance through a numerical study and two real-world data sets, examining obesity from body fat data and symmetry of dental size from human tooth size data. We further consider the extension of the proposed EL method to jackknife EL.</p>","PeriodicalId":14479,"journal":{"name":"International Statistical Review","volume":"93 3","pages":"459-498"},"PeriodicalIF":1.8,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/insr.12589","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}