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This is Scientific American's 60-second Science, I'm Steve Mirsky.
With a full month of the regular season to play, the 2019 New York Yankees had set a Major League Baseball record for injuries.
That medical crisis led to what the online sports publication The Athletic reported on January 3rd
as "sweeping changes" to their training and strength-and-conditioning programs.
When I read that news, I thought, of course, of traffic cameras,
which sometimes, and reasonably, get placed at sites that have a disproportionate number of accidents in a given year.
"The fact that there's a higher rate of accidents will be partly due to chance because it will fluctuate over the course of time.
Sometimes it will be less; sometimes it will be high."
David J. Hand, on the Scientific American Science Talk podcast in 2014.
He's emeritus professor of mathematics and senior research investigator at Imperial College London,
where he formerly held the chair in statistics.
He was on the podcast to talk about then new book The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day.
So what does the Yankees' revamped training staff potentially have in common with traffic cameras?
"Now if we look back at last year and identify the places which have particularly high rates of accidents,
the high rate of those places will be due to a sum of two things:
the natural degree of dangerousness of those places,
plus the fact that that particular year just happens to be a bad year―there were more accidents than normal at that year.
这里是科学美国人――60秒科学系列,我是史蒂夫・米尔斯基。
常规赛赛程还有一个月,而2019年纽约洋基队已经创下了职业棒球大联盟的伤病纪录。
这场医疗危机导致在线体育刊物《The Athletic》在1月3日进行了报道,
称洋基队的训练和力量与调节项目发生了“彻底改变”。
我看到这则新闻时,自然想到了交通摄像头,
它有时被合理地安装在一年中事故数量不成比例的地点。
“事故发生率较高的部分原因是偶然性,因为事故会随着时间的推移而波动。
有时会少一些,有时会很高。”
这是大卫・汉德2014年做客《科学美国人》节目的“科学对话”播客时所说。
他是伦敦帝国理工学院的名誉数学教授和高级研究调查员,
此前他曾担任该学院统计学专业负责人。
他在播客上谈到了当时出版的新书《不可能原理:为何巧合、奇迹和罕见事件每天都会发生》。
那洋基队改组后的训练人员和交通摄像头有何潜在共同之处?
“如果我们回顾一下去年,找出事故发生率特别高的地点,
会发现事故发生率高的原因有两个:
这些地方的自然危险程度,
以及那一年恰巧是个糟糕的年份,该年发生的事故比平常年份要多。
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