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Monty Hall and “the Leibniz Illusion” 蒙蒂·霍尔和“莱布尼茨幻觉”
Pub Date : 2022-10-02 DOI: 10.1080/09332480.2022.2145124
Steven Tijms
Hardly any mathematical problem has been debated so fiercely and widely as the Monty Hall problem.The question of why so many people were mistaken, and moreover, why they were so deeply convinced that they were right and Marilyn vos Savant was wrong, still awaits a proper answer. Steven Pinker and other cognitive psychologists before him blame the equiprobability bias. I will show that the equiprobability bias is in fact a sound stochastic intuition. But through our labeling the three doors, a “probability shift” occurs. Instead of looking for the probability that we picked the door with the car behind it, we are now looking for the probability that the car is behind the door we picked. As a result, Marilyn’s critics suffer from a stochastic illusion that I have called “the Leibniz Illusion”. This illusion makes us believe that, after the host opens one of the three doors, there remain only two alternative possibilities. The uniformity belief now says that chances are fifty-fifty that the car is behind the door we picked. In reality, there still remain three alternative possibilities for the door we picked. This seems paradoxical, since only two doors are left. Once we compare our picking one of the three doors to drawing a playing card from a deck and realize that just like the playing cards each of the three doors has its own hidden label, the paradox is resolved and it becomes clear how Marilyn’s critics were deluded
几乎没有任何数学问题像蒙蒂霍尔问题那样引起如此激烈和广泛的争论。为什么那么多人都错了,而且,为什么他们如此深信自己是对的,而玛丽莲·沃斯·莎凡特是错的,这些问题仍有待一个恰当的答案。Steven Pinker和他之前的其他认知心理学家将此归咎于等概率偏见。我将证明等概率偏差实际上是一种可靠的随机直觉。但是通过给这三扇门贴上标签,“概率转移”就发生了。我们不再求选到的门后面有车的概率,我们现在求的是选到的门后面有车的概率。结果,玛丽莲的批评者们患上了一种随机错觉,我称之为“莱布尼茨错觉”。这种错觉使我们相信,在主人打开三扇门中的一扇后,只剩下两种选择的可能性。均匀性信念现在说汽车在我们选的门后面的概率是50%实际上,我们选的那扇门还有三种可能。这似乎很矛盾,因为只剩下两扇门了。一旦我们将选择三扇门中的一扇比作从一副扑克牌中抽出一张牌,并意识到就像纸牌一样,三扇门中的每一扇都有自己隐藏的标签,这个悖论就被解决了,很明显玛丽莲的批评者是如何被欺骗的
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引用次数: 0
Amy’s Luck 艾米的运气
Pub Date : 2022-10-02 DOI: 10.1080/09332480.2022.2145142
C. Robert
This article contains book reviews of Bayes Rules! by Alicia Johnson, Miles Ott, and Mine Dogucu, and Amy’s Luck by David Hand.
本文包含了关于贝叶斯规则的书评!艾丽西亚·约翰逊、迈尔斯·奥特和我的道古古合著,以及大卫·汉德合著的《艾米的运气》。
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引用次数: 0
Are the Handicaps Fair? Age and Participation Effects in the Dipsea Race 残障比赛公平吗?Dipsea种族的年龄与参与效应
Pub Date : 2022-10-02 DOI: 10.1080/09332480.2022.2145138
Richard De Veaux, A. Plantinga, E. Upton
The Dipsea Race is a longstanding annual trail race that takes place in Marin County, California. A unique feature of the Dipsea is that runners are given head starts based on their age and sex, computed in an attempt to give runners of every age and sex a similar chance of winning the race. However, runners in the “scratch group” (19- to 30-year-old men, who receive no head start) have not won in the past 50 years, and nobody between the ages of 9 and 45 has won for the past two decades. In this article, we investigate whether the head starts are too large, giving younger and older runners an advantage, or whether the gap in the age distribution of winners is due to participation differences. We find that if anything, the head starts are smaller than they would need to be for the median or mean time to be similar across age and sex groups; rather, exceptional young and old runners participate at a higher rate than exceptional runners in the scratch group.
迪普西赛跑是一项长期的年度越野赛,在加利福尼亚州的马林县举行。迪普西赛的一个独特之处在于,参赛者会根据年龄和性别获得起跑机会,这是为了让每个年龄和性别的选手都有相同的获胜机会。然而,在过去的50年里,“新手组”(19岁至30岁的男性,他们没有获得起跑机会)的选手没有赢过,在过去的20年里,9岁至45岁的选手没有一个赢过。在这篇文章中,我们调查了是否领先太大,给年轻和年长的跑步者一个优势,或者是否获奖者的年龄分布差距是由于参与的差异。我们发现,如果有什么不同的话,那就是领先优势比不同年龄和性别群体的中位数或平均时间相似所需的时间要小;相反,优秀的年轻和老年跑步者比优秀的划痕组跑步者参与的比例更高。
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引用次数: 0
An Interview with Hal Stern—From Academics to Administration 采访哈尔·斯特恩——从学术到管理
Pub Date : 2022-10-02 DOI: 10.1080/09332480.2022.2145129
S. Behseta
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引用次数: 0
A Conversation with Howard Hogan, Former Chief Demographer at the United States Census Bureau 与美国人口普查局前首席人口统计学家霍华德·霍根的对话
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123150
J. Eltinge, W. Martínez
John Eltinge and Wendy Martinez had the pleasure of interviewing Howard Hogan, the former Chief Demographer of the United States Census Bureau in September 2019. Howard had a long and distinguished career at the Census Bureau, where he started working in 1979. Howard obtained his Ph.D. in Economics and Demography at Princeton University, and he later earned a Master’s Degree in Public Affairs from The Woodrow Wilson School. As Chief Demographer, Howard served as a senior scientist and principal consultant on methodological problems, as well as on technical and statistical demography. Throughout his career, he contributed to several professional organizations including the American Statistical Association (ASA), the Washington Statistical Society, and the International Association of Survey Statisticians. He was awarded Fellow of the American Statistical Association in 2001 and received the Jeanne E. Griffith Mentoring Award in 2018.
2019年9月,约翰·埃尔廷格和温迪·马丁内斯有幸采访了美国人口普查局前首席人口统计学家霍华德·霍根。霍华德从1979年开始在人口普查局工作,有着长期而杰出的职业生涯。霍华德在普林斯顿大学获得了经济学和人口学博士学位,后来又在伍德罗·威尔逊学院获得了公共事务硕士学位。作为首席人口统计学家,霍华德在方法问题以及技术和统计人口学方面担任高级科学家和首席顾问。在他的职业生涯中,他为几个专业组织做出了贡献,包括美国统计协会(ASA),华盛顿统计学会和国际调查统计学家协会。他于2001年被授予美国统计协会会员,并于2018年获得Jeanne E. Griffith指导奖。
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引用次数: 0
Analyzing Basketball Data with BasketballAnalyzeR 用BasketballAnalyzeR分析篮球数据
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123161
A. Fox, Marica Manisera, Marco Sandri, P. Zuccolotto
The R package BasketballAnalyzeR, described in the book “Basketball Data Science”, is designed to be a flexible tool for a great variety of aims. It is simple enough to eliminate barriers-to-entry for aspiring data scientists and sports analysts, but is also allows to perform more complex analyses for scientific research. It is appropriate for teaching, in both degree courses in Statistics and specific Masters and post-graduate courses in sports. In this article we show some of the statistical graphical tools made available by BasketballAnalyzeR: bubble plots, to assess relationships among several game variables; shot charts and heatmaps of the shots’ spatial density, to extract information about spatial performance; shot density charts, to analyze shot frequency with respect to some concurrent game variables; assist/shot networks, to highlight the relationships between teammates; nonparametric estimation of scoring probability and expected points with respect to some concurrent game variables, to investigate which are each player’s most efficient shots.
在“篮球数据科学”一书中描述的R包basketanalyzer被设计成一个灵活的工具,用于各种各样的目标。它简单到足以消除有抱负的数据科学家和体育分析师的进入障碍,但它也允许为科学研究执行更复杂的分析。它适用于统计学学位课程和特定的体育硕士和研究生课程的教学。在本文中,我们将展示BasketballAnalyzeR提供的一些统计图形工具:泡泡图,用于评估几个游戏变量之间的关系;镜头图和镜头空间密度热图,提取空间表现信息;投篮密度图,分析一些并发游戏变量的投篮频率;助攻/投篮网络,突出队友之间的关系;对一些并发游戏变量的得分概率和期望得分进行非参数估计,以调查每个玩家最有效的射门。
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引用次数: 0
R Govys: A New Community that Wants You R Govys:一个需要你的新社区
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123151
D. LaLonde
In 2022 the American Statistical Association became a member of the R Consortium. Members of the consortium have a shared commitment to ongoing development and maintenance of R and supporting the user community. As a result of the ASA participation in the R Consortium a R Govys, a new users-group was formed. The goal of R Govys is to build community, share knowledge, and grow influence for users and producers of federal statistics.
2022年,美国统计协会成为R联盟的成员。该联盟的成员共同致力于R的持续开发和维护,并支持用户社区。由于ASA参与了R联盟和R Govys,因此形成了一个新的用户组。R Govys的目标是建立社区,分享知识,并为联邦统计数据的用户和生产者增加影响力。
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引用次数: 0
An In-depth Conversation with Dionne Price, 2023 President of the American Statistical Association 与美国统计协会2023年主席迪翁·普莱斯的深度对话
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123153
Simone Gray
Simone Gray interviews the 2023 President of the American Statistical Association, Dionne Price, for a special issue of CHANCE magazine on Statistics in the Government.
西蒙妮·格雷为《机会》杂志关于政府统计的特刊采访了2023年美国统计协会主席迪翁·普莱斯。
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引用次数: 0
Spotlight on the Government Statistics Section of the American Statistical Association 聚焦于美国统计协会的政府统计部分
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123147
Michael Messner, Claire McKay Bowen
The Government Statistics Section (GSS) of the American Statistical Association (ASA) actively supports its members in several key areas, providing opportunities for members to engage in conversations on methodological techniques relevant to government statistics and products. GSS leads and co-sponsors several activities, such as a mentoring program, an ongoing annual data challenge, and other networking and educational activities, both in person and virtually. In this article, GSS Board Members share a brief history of GSS and its mission discuss some of GSS’s current and past activities, highlight some of the benefits of joining this section, and spotlight on a few of our current members.
美国统计协会(ASA)的政府统计科(GSS)在几个关键领域积极支持其成员,为成员提供机会,就与政府统计和产品有关的方法技术进行对话。GSS领导并共同赞助了一些活动,例如指导计划、正在进行的年度数据挑战,以及其他面对面和虚拟的网络和教育活动。在这篇文章中,GSS董事会成员分享了GSS的简史及其使命,讨论了GSS当前和过去的一些活动,强调了加入本节的一些好处,并重点介绍了我们当前的一些成员。
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引用次数: 1
Transforming Medical Cucumbers into Sunbeams 把医用黄瓜变成阳光
Pub Date : 2022-07-03 DOI: 10.1080/09332480.2022.2123156
H. Wainer
A recent report from Johns Hopkins University estimated that more than 250,000 people in the U.S. die annually from medical errors. There are surely many contributing causes for this horrendous statistic, but one of them, we conjecture, is faulty communication between medical caregivers when a patient is passed between them. In this essay we suggest that replacing the often complex tables of patient information into a more comprehensible graphic format can reduce errors of information and make clerical errors easier to pick out. We illustrate this with both a contemporary data set and a famous historical one drawn from the 18th century.
约翰霍普金斯大学最近的一份报告估计,美国每年有超过25万人死于医疗事故。造成这一可怕数据的原因肯定有很多,但我们猜测,其中一个原因是医护人员在传递病人时沟通不端。在本文中,我们建议将通常复杂的患者信息表替换为更易于理解的图形格式,可以减少信息错误,并使文书错误更容易挑选出来。我们用当代数据集和18世纪著名的历史数据集来说明这一点。
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Chance (New York, N.Y.)
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