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LASSO-based Survival Prediction Modelling with Multiply Imputed Data: A Case Study in Tuberculosis Mortality Prediction 基于lasso的多重输入数据生存预测模型:肺结核死亡率预测案例研究
IF 1.8 4区 数学
American Statistician Pub Date : 2025-07-01 DOI: 10.1080/00031305.2025.2526545
Md. Belal Hossain, Mohsen Sadatsafavi, James C. Johnston, Hubert Wong, Victoria J. Cook, Mohammad Ehsanul Karim
{"title":"LASSO-based Survival Prediction Modelling with Multiply Imputed Data: A Case Study in Tuberculosis Mortality Prediction","authors":"Md. Belal Hossain, Mohsen Sadatsafavi, James C. Johnston, Hubert Wong, Victoria J. Cook, Mohammad Ehsanul Karim","doi":"10.1080/00031305.2025.2526545","DOIUrl":"https://doi.org/10.1080/00031305.2025.2526545","url":null,"abstract":"","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"13 1","pages":"1-20"},"PeriodicalIF":1.8,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144533235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Cornucopia of Maximum Likelihood Algorithms 极大似然算法的聚宝盆
IF 1.8 4区 数学
American Statistician Pub Date : 2025-07-01 DOI: 10.1080/00031305.2025.2526535
Kenneth Lange, Xun-Jian Li, Hua Zhou
{"title":"A Cornucopia of Maximum Likelihood Algorithms","authors":"Kenneth Lange, Xun-Jian Li, Hua Zhou","doi":"10.1080/00031305.2025.2526535","DOIUrl":"https://doi.org/10.1080/00031305.2025.2526535","url":null,"abstract":"","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"19 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144533187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Devon Allen’s Disqualification at the 2022 World Track and Field Championships 德文·艾伦在2022年世界田径锦标赛上被取消资格
IF 1.8 4区 数学
American Statistician Pub Date : 2025-06-04 DOI: 10.1080/00031305.2025.2515869
Owen Fiore, Elizabeth D. Schifano, Jun Yan
{"title":"On Devon Allen’s Disqualification at the 2022 World Track and Field Championships","authors":"Owen Fiore, Elizabeth D. Schifano, Jun Yan","doi":"10.1080/00031305.2025.2515869","DOIUrl":"https://doi.org/10.1080/00031305.2025.2515869","url":null,"abstract":"Devon Allen’s disqualification at the men’s 110-meter hurdle final at the 2022 World Track and Field Championships, due to a reaction time (RT) of 0.099 seconds—just 0.001 seconds below the allowable threshold—sparked widespread debate over the fairness and validity of RT rules. This study investigates two key issues: variations in timing systems and the justification for the 0.1-second disqualification threshold. We pooled RT data from men’s 110-meter hurdles and 100-meter dash, as well as women’s 100-meter hurdles and 100-meter dash, spanning national and international competitions. Using a rank-sum test for clustered data, we compared RTs across multiple competitions, while a generalized Gamma model with random effects for venue and heat was applied to evaluate the threshold. Our analyses reveal significant differences in RTs between the 2022 World Championships and other competitions, pointing to systematic variations in timing systems. Additionally, the model shows that RTs below 0.1 seconds, though rare, are physiologically plausible. These findings highlight the need for standardized timing protocols and a re-evaluation of the 0.1-second disqualification threshold to promote fairness in elite competition.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"12 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144219095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian model checking by betting: A game-theoretic alternative to Bayesian p -values and classical Bayes factors 通过投注检验贝叶斯模型:贝叶斯p值和经典贝叶斯因子的博弈论替代方案
IF 1.8 4区 数学
American Statistician Pub Date : 2025-06-04 DOI: 10.1080/00031305.2025.2507764
David R. Bickel
{"title":"Bayesian model checking by betting: A game-theoretic alternative to Bayesian p -values and classical Bayes factors","authors":"David R. Bickel","doi":"10.1080/00031305.2025.2507764","DOIUrl":"https://doi.org/10.1080/00031305.2025.2507764","url":null,"abstract":"A strictly Bayesian model consists of a set of possible data distributions and a prior distribution over that set. If there are other models available, how well they predicted the data may be compared using Bayes factors. If not, a model may be checked using a Bayesian <i>p</i>-value such as a prior predictive <i>p</i>-value or a posterior predictive <i>p</i>-value. However, recent criticisms of ordinary <i>p</i>-values apply with equal force against Bayesian <i>p</i>-values. Many of those criticisms are overcome by <i>e</i>-values, martingales interpreted as the amount of evidence discrediting a null hypothesis, measured as a payoff for betting against it.This paper proposes the use of <i>e</i>-values to check Bayesian models by testing their prior predictive distributions as null hypotheses. Two generally applicable methods for checking strictly Bayesian models are provided. The first method calibrates Bayesian <i>p</i>-values by transforming them into Bayesian <i>e</i>-values. The second method uses Bayes factors or their approximations as Bayesian <i>e</i>-values.A robust Bayesian model, a set of strictly Bayesian models, may be checked using various functions that use the <i>e</i>-values of those strictly Bayesian models. Other functions measure how much the data support a Bayesian model. Relations to possibility theory are discussed.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"176 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144219094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Undergraduate Course on the Statistical Principles of Research Study Design 研究性研究设计的统计原理本科课程
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-21 DOI: 10.1080/00031305.2025.2509664
Lee Kennedy-Shaffer
{"title":"An Undergraduate Course on the Statistical Principles of Research Study Design","authors":"Lee Kennedy-Shaffer","doi":"10.1080/00031305.2025.2509664","DOIUrl":"https://doi.org/10.1080/00031305.2025.2509664","url":null,"abstract":"The undergraduate curriculum in statistics and data science is undergoing changes to accommodate new methods, newly interested students, and the changing role of statistics in society. Because of this, it is more important than ever that students understand the role of study design and how to formulate meaningful scientific and statistical research questions. While the traditional Design of Experiments course is still extremely valuable for students heading to industry and research careers, a broader study design course that incorporates survey sampling, observational studies, and the basics of causal inference with randomized experiment design is particularly useful for students with a wide range of applied interests. Here, I describe such a course at a small liberal arts college, along with ways to adapt it to meet different student and instructor background and interests. The course serves as a valuable bridge to advanced statistical coursework, meets key statistical literacy and communication learning goals, and can be tailored to the desired level of computational and mathematical fluency. Through reading, discussing, and critiquing actual published research studies, students learn that statistics is a living discipline with real consequences and become better consumers and producers of scientific research and data-driven insights.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"155 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144113683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Zero-Truncated Modelling in a Meta-Analysis on Suicide Data after Bariatric Surgery 零截断模型在减肥手术后自杀数据荟萃分析中的应用
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-20 DOI: 10.1080/00031305.2025.2507380
Layna Charlie Dennett, Antony Overstall, Dankmar Böhning
{"title":"Zero-Truncated Modelling in a Meta-Analysis on Suicide Data after Bariatric Surgery","authors":"Layna Charlie Dennett, Antony Overstall, Dankmar Böhning","doi":"10.1080/00031305.2025.2507380","DOIUrl":"https://doi.org/10.1080/00031305.2025.2507380","url":null,"abstract":"Meta-analysis is a well-established method for integrating results from several independent studies to estimate a common quantity of interest. However, meta-analysis is prone to selection bias, notably when particular studies are systematically excluded. This can lead to bias in estimating the quantity of interest. Motivated by a meta-analysis to estimate the rate of completed-suicide after bariatric surgery, where studies which reported no suicides were excluded, a novel zero-truncated count modeling approach was developed. This approach addresses heterogeneity, both observed and unobserved, through covariate and overdispersion modeling, respectively. Additionally, through the Horvitz-Thompson estimator, an approach is developed to estimate the number of excluded studies, a quantity of potential interest for researchers. Uncertainty quantification for both estimation of suicide rates and number of excluded studies is achieved through a parametric bootstrapping approach.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"14 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144104095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flexible distributed lag models for count data using mgcv 使用mgcv计数数据的灵活分布式滞后模型
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-18 DOI: 10.1080/00031305.2025.2505514
Theo Economou, Daphne Parliari, Aurelio Tobias, Laura Dawkins, Hamish Steptoe, Christophe Sarran, Oliver Stoner, Rachel Lowe, Jos Lelieveld
{"title":"Flexible distributed lag models for count data using mgcv","authors":"Theo Economou, Daphne Parliari, Aurelio Tobias, Laura Dawkins, Hamish Steptoe, Christophe Sarran, Oliver Stoner, Rachel Lowe, Jos Lelieveld","doi":"10.1080/00031305.2025.2505514","DOIUrl":"https://doi.org/10.1080/00031305.2025.2505514","url":null,"abstract":"In this tutorial we present the use of R package <span>mgcv</span> to implement Distributed Lag Non-Linear Models (DLNMs) in a flexible way. Interpretation of smoothing splines as random quantities enables approximate Bayesian inference, which in turn allows uncertainty quantification and comprehensive model checking. We illustrate various modeling situations using open-access epidemiological data in conjunction with simulation experiments. We demonstrate the inclusion of temporal structures and the use of mixture distributions to allow for extreme outliers. Moreover, we demonstrate interactions of the temporal lagged structures with other covariates with different lagged periods for different covariates. Spatial structures are also demonstrated, including smooth spatial variability and Markov random fields, in addition to hierarchical formulations to allow for non-structured dependency. Posterior predictive simulation is used to ensure models verify well against the data.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"33 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144088102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Loser’s Curse and the Critical Role of the Utility Function 失败者的诅咒与效用函数的关键作用
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-16 DOI: 10.1080/00031305.2025.2505512
Ryan S. Brill, Abraham J. Wyner
{"title":"The Loser’s Curse and the Critical Role of the Utility Function","authors":"Ryan S. Brill, Abraham J. Wyner","doi":"10.1080/00031305.2025.2505512","DOIUrl":"https://doi.org/10.1080/00031305.2025.2505512","url":null,"abstract":"A longstanding question in the judgment and decision making literature is whether experts, even in high-stakes environments, exhibit the same cognitive biases observed in controlled experiments with inexperienced participants. Massey and Thaler (2013) claim to have found an example of bias and irrationality in expert decision making: general managers’ behavior in the National Football League draft pick trade market. They argue that general managers systematically overvalue top draft picks, which generate less surplus value on average than later first-round picks, a phenomenon known as the loser’s curse. Their conclusion hinges on the assumption that general managers should use expected surplus value as their utility function for evaluating draft picks. This assumption, however, is neither explicitly justified nor necessarily aligned with the strategic complexities of constructing a National Football League roster. In this paper, we challenge their framework by considering alternative utility functions, particularly those that emphasize the acquisition of transformational players––those capable of dramatically increasing a team’s chances of winning the Super Bowl. Under a decision rule that prioritizes the probability of acquiring elite players, which we construct from a novel Bayesian hierarchical Beta regression model, general managers’ draft trade behavior appears rational rather than systematically flawed. More broadly, our findings highlight the critical role of carefully specifying a utility function when evaluating the quality of decisions.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"16 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High Dimensional Space Oddity 高维空间奇度
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-15 DOI: 10.1080/00031305.2025.2505507
Haim Bar, Vladimir Pozdnyakov
{"title":"High Dimensional Space Oddity","authors":"Haim Bar, Vladimir Pozdnyakov","doi":"10.1080/00031305.2025.2505507","DOIUrl":"https://doi.org/10.1080/00031305.2025.2505507","url":null,"abstract":"In his 1996 paper, Talagrand highlighted that the Law of Large Numbers (LLN) for independent random variables can be viewed as a geometric property of multidimensional product spaces. This phenomenon is known as the concentration of measure. To illustrate this profound connection between geometry and probability theory, we consider a seemingly intractable geometric problem in multidimensional Euclidean space and solve it using standard probabilistic tools such as the LLN and the Central Limit Theorem (CLT).","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"16 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian Inference and the Principle of Maximum Entropy 贝叶斯推理与最大熵原理
IF 1.8 4区 数学
American Statistician Pub Date : 2025-05-06 DOI: 10.1080/00031305.2025.2501799
Duncan K. Foley, Ellis Scharfenaker
{"title":"Bayesian Inference and the Principle of Maximum Entropy","authors":"Duncan K. Foley, Ellis Scharfenaker","doi":"10.1080/00031305.2025.2501799","DOIUrl":"https://doi.org/10.1080/00031305.2025.2501799","url":null,"abstract":"Bayes’ theorem incorporates distinct types of information through the likelihood and prior. Direct observations of state variables enter the likelihood and modify posterior probabilities through consistent updating. Information in terms of expected values of state variables modify posterior probabilities by constraining prior probabilities to be consistent with the information. Constraints on the prior can be exact, limiting hypothetical frequency distributions to only those that satisfy the constraints, or be approximate, allowing residual deviations from the exact constraint to some degree of tolerance. When the model parameters and constraint tolerances are known, posterior probabilities follow directly from Bayes’ theorem. When parameters and tolerances are unknown a prior for them must be specified. When the system is close to statistical equilibrium the computation of posterior probabilities is simplified due to the concentration of the prior on the maximum entropy hypothesis. The relationship between maximum entropy reasoning and Bayes’ theorem from this point of view is that maximum entropy reasoning is a special case of Bayesian inference with a constrained entropy-favoring prior.","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"4 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143933216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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