配对t检验(配对t检验和两独立样本t检验的区别)

懿说学区（10） | SPSS统计分析（20）配对样本T检验

Yishuo school district (10) | SPSS statistical analysis (20) paired sample t-test

“分享兴趣，传播快乐，增长见闻，留下美好！ 大家好，这里是小编。欢迎大家继续访问学苑内容，我们将竭诚为您带来更多更好的内容分享。

"Share interests, spread happiness, increa knowledge, and leave beauty! Hello, everyone, this is Xiaobian. Welcome to continue to visit the content of the school, and we will wholeheartedly bring you more and better content sharing.

配对样本T检验用于检验两组相关样本是否来自相同均值的正态总体，即推断量总体的均值是否存在显著性差异。其原假设为H0:μ1-μ2=0，其中，μ1和μ2分别为第一个总体和第二个总体的均值。

Paired sample t-test is ud to test whether the two groups of related samples come from the normal population with the same mean, that is, whether there is a significant difference in the mean of the inferred population. The original assumption is h0: μ 1- μ 2=0, where, μ 1 and μ 2 is the mean value of the first population and the cond population respectively.

配对的概念是指两组样本的各样本值之间存在着对应关系，配对样本的两组样本值之间的配对是一一对应的，并且两组样本的容量相同。配对样本T检验与独立样本T检验的差别之一是要求样本是配对的。

The concept of pairing refers to the corresponding relationship between the sample values of two groups of samples. The pairing between the two groups of sample values of paired samples is one-to-one corresponding, and the capacity of the two groups of samples is the same. One of the differences between paired sample t-test and independent sample t-test is that samples are required to be paired.

小暑，是农历二十四节气之第十一个节气，夏天的第五个节气，表示季夏时节开始。

暑，表示炎热的意思，小暑为小热，意指天气开始炎热，但还没到最热。这种气候，在中国大部分地区基本符合。

所谓配对样本，可以是个案在“前”“后”两种状态下某种属性的两种状态，也可以是对某事物两个不同侧面或方面的描述。其差别在于抽样不是相互独立的，而是相互关联的。例如，考察同一组人在参加一年的长跑锻炼前后的心率是否显著差异或者研究某种减肥茶是否有显著的减肥效果。

The so-called paired samples can be the two states of a certain attribute of a ca in the "front" and "back" states, or the description of two different sides or aspects of something. The difference is that sampling is not independent, but interrelated. For example, investigate whether the heart rate of the same group of people before and after a year of long-distance running exerci is significantly different, or study whether a certain weight-loss tea has a significant weight-loss effect.

配对样本T检验需求出每对观测值之差，所有的样本值的观测值之差形成一个新的单样本。显然，如果两个样本的均值没有显著差异，则样本值之差的均值应该接近于0，这实际上转换成了一个单样本的T检验。所以，配对样本T检验就是检验差值所来自的总体其均值是否为0，这要求差值来自的总体服从正态分布。

Paired sample t-test requires the difference of each pair of obrvations, and the difference of obrvations of all sample values forms a new single sample. Obviously, if there is no significant difference between the mean values of the two samples, the mean value of the difference between the sample values should be clo to 0, which is actually converted into a single sample t-test. Therefore, paired sample t-test is to test whether the mean value of the population from which the difference comes is 0, which requires that the population from which the difference comes obey the normal distribution.

配对样本T检验作为假设检验的一种方法，其基本步骤与假设检验的步骤是一样的。

As a method of hypothesis testing, the basic steps of paired sample t-test are the same as tho of hypothesis testing.

下期预告：下一节，我们将会学习

配对样本T检验的实例学习，

进一步解决T检验实际应用

中出现的问题。

Forecast for next issue: in the next ction, we will learn the ca study of paired sample t-test to further solve the problems in the practical application of t-test.

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That's all for today's sharing. If you have unique ideas about today's article, plea leave us a message. Let's meet tomorrow. I wish you a happy day today!

参考资料：百度百科，《SPSS 23 统计分析实用教程》

翻译：百度翻译

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