「The probable error of a correlation coefficient obtained from a sample of n pairs of observations is sqrt((1-r²)/(n-2)).」- 威廉·戈塞特经典语录

The probable error of a correlation coefficient obtained from a sample of n pairs of observations is sqrt((1-r²)/(n-2)).

威廉·戈塞特

💡 解读：从n对观测值的样本中获得的相关系数的可能误差是sqrt((1-r²)/(n-2))。

👤 更多威廉·戈塞特经典语录 2句

The probable error of a correlation coefficient is not a fixed quantity, but depends upon the size of the sample.

威廉·戈塞特

The probable error of a correlation coefficient is not a thing which can be deduced from first principles, but must be found empirically.

威廉·戈塞特

李娟

但愿同入梦。

琼瑶

悲伤就是知识

拜伦

表面看起来糟糕的事，本质上却往往并非如此。

塞涅卡

我绝不坚信这个时代没有放之四海而皆准的正义和良善的价值观，它们不仅仅有，而且不是朝令夕改流动无常的，它们是稳定而永恒的。

亚历山大·索尔仁尼琴

我们根本没想到要怀疑或轻视“历史的启示”；历史就是我们的一切。

恩格斯

奇花与丽日争妍，翠竹共青天斗碧。

吴承恩

大家礼义教子弟，小家凶恶训儿郎。

周希陶

真理就是自由人的祖国。真理不存在于丑化了的现实里。生命的第一个行动就是创造的行动。在争论中是不分高贵卑鄙，也不管称号姓氏的，重要的只是真理，在它面前人人平等。

罗曼·罗兰

人人为我，我为人人。

列宁

40句相邻名言

It is possible to form a general rule for the estimation of probabilities of future events from the observation of past events.

托马斯·贝叶斯

提出贝叶斯定理的现代形式

The mind of man is so formed that it is capable of forming a judgment of the probability of events.

托马斯·贝叶斯

提出贝叶斯定理的现代形式

The greater the number of individuals observed, the more do individual peculiarities, whether physical or moral, become effaced, and allow the general facts to predominate, by which society exists and is preserved.

阿道夫·凯特勒

现代统计学的先驱

Statistics are the torch-bearers of civilization, the true measure of progress.

阿道夫·凯特勒

现代统计学的先驱

Statistics are the torch-bearers of truth, illuminating the path of progress.

阿道夫·凯特勒

现代统计学的先驱

Statistics are the most important weapons in the arsenal of the modern statesman.

阿道夫·凯特勒

现代统计学的先驱

The scientific method is one and indivisible, and the method of science is applicable to social as well as to physical problems.

卡尔·皮尔逊

提出皮尔逊相关系数，影响深远

Statistics is the grammar of science.

卡尔·皮尔逊

安德雷·柯尔莫哥洛夫

现代概率论奠基人

Every mathematician believes that he is ahead of the others. The reason none state this belief in public is because they are intelligent people.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

In mathematics, we do not understand things. We just get used to them.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

The value of a problem is not so much in coming up with the answer as in the ideas and attempted ideas it forces on the would-be solver.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

The theory of functions of a real variable is a powerful tool for the study of fundamental problems in natural science.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

The aim of science is, on the one hand, a comprehension, as complete as possible, of the connection between the sense experiences in their totality, and, on the other hand, the accomplishment of this aim by the use of a minimum of primary concepts and relations.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

The value of a problem is not so much coming up with the answer as in the ideas and attempted ideas it forces on the would-be solver.

安德雷·柯尔莫哥洛夫

现代概率论奠基人

The probable error of a correlation coefficient is not a thing which can be deduced from first principles, but must be found empirically.

威廉·戈塞特

提出t检验和t分布，推动小样本统计推断

The probable error of a correlation coefficient is not a fixed quantity, but depends upon the size of the sample.

威廉·戈塞特

提出t检验和t分布，推动小样本统计推断

The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference.

耶日·内曼

提出假设检验的显著性水平概念

Inductive behavior is a mode of behavior, not a mode of reasoning.

耶日·内曼

提出假设检验的显著性水平概念

The problem of estimation is of a different nature than the problem of testing statistical hypotheses.

耶日·内曼

提出假设检验的显著性水平概念

The field of statistics is the study of how to make decisions in the face of uncertainty.

耶日·内曼

提出假设检验的显著性水平概念

The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference, but equally, no other thinking person can avoid a like obligation.

耶日·内曼

提出假设检验的显著性水平概念

The problem of estimation is of a different nature. Here we are not concerned with testing a particular hypothesis, but with estimating the value of a parameter.

耶日·内曼

提出假设检验的显著性水平概念

Inductive behavior is a term used to describe the process of making decisions under uncertainty, where the consequences depend on the unknown state of nature.

耶日·内曼

提出假设检验的显著性水平概念

The theory of confidence intervals provides a method of estimating unknown parameters which is different from point estimation and hypothesis testing.

耶日·内曼

提出假设检验的显著性水平概念

The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference, but equally, no other thinking man can avoid a like obligation.

耶日·内曼

提出假设检验的显著性水平概念

The problem of testing statistical hypotheses is an old one, and its origins are obscure.

耶日·内曼

提出假设检验的显著性水平概念

The field of statistics is not only a tool for analyzing data but also a way of thinking about the world.

耶日·内曼

提出假设检验的显著性水平概念

The statistician cannot excuse himself from the duty of getting his head clear on the principles of scientific inference.

埃贡·皮尔逊

统计假设检验理论奠基人

In statistical work, the right mathematical tool must be used for the right problem, and the tool must be sharp.

埃贡·皮尔逊

统计假设检验理论奠基人

The problem of testing statistical hypotheses is an inseparable part of the general problem of estimation.

埃贡·皮尔逊

统计假设检验理论奠基人

The aim of the statistician is to infer from the sample what the population is.

埃贡·皮尔逊

统计假设检验理论奠基人

In statistical work, the right mathematical tool must be used for the right purpose.

埃贡·皮尔逊

统计假设检验理论奠基人

The problem of testing statistical hypotheses is an integral part of the general problem of scientific method.

埃贡·皮尔逊

统计假设检验理论奠基人

The statistician cannot evade the responsibility for understanding the process he applies or recommends.

埃贡·皮尔逊

统计假设检验理论奠基人

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