配對t檢驗(配對t檢驗和兩獨立樣本t檢驗的區別)

懿說學區（10） | SPSS統計分析（20）配對樣本T檢驗

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

“分享興趣，傳播快樂，增長見聞，留下美好！ 大家好，這里是小編。歡迎大家繼續訪問學苑內容，我們將竭誠為您帶來更多更好的內容分享。

"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.

配對樣本T檢驗用于檢驗兩組相關樣本是否來自相同均值的正態總體，即推斷量總體的均值是否存在顯著性差異。其原假設為H0:μ1-μ2=0，其中，μ1和μ2分別為第一個總體和第二個總體的均值。

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.

配對的概念是指兩組樣本的各樣本值之間存在著對應關系，配對樣本的兩組樣本值之間的配對是一一對應的，并且兩組樣本的容量相同。配對樣本T檢驗與獨立樣本T檢驗的差別之一是要求樣本是配對的。

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，是農歷二十四節氣之第十一個節氣，夏天的第五個節氣，表示季夏時節開始。

暑，表示炎熱的意思，小暑為小熱，意指天氣開始炎熱，但還沒到最熱。這種氣候，在中國大部分地區基本符合。

所謂配對樣本，可以是個案在“前”“后”兩種狀態下某種屬性的兩種狀態，也可以是對某事物兩個不同側面或方面的描述。其差別在于抽樣不是相互獨立的，而是相互關聯的。例如，考察同一組人在參加一年的長跑鍛煉前后的心率是否顯著差異或者研究某種減肥茶是否有顯著的減肥效果。

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.

配對樣本T檢驗需求出每對觀測值之差，所有的樣本值的觀測值之差形成一個新的單樣本。顯然，如果兩個樣本的均值沒有顯著差異，則樣本值之差的均值應該接近于0，這實際上轉換成了一個單樣本的T檢驗。所以，配對樣本T檢驗就是檢驗差值所來自的總體其均值是否為0，這要求差值來自的總體服從正態分布。

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.

配對樣本T檢驗作為假設檢驗的一種方法，其基本步驟與假設檢驗的步驟是一樣的。

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

下期預告：下一節，我們將會學習

配對樣本T檢驗的實例學習，

進一步解決T檢驗實際應用

中出現的問題。

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.

今天的分享就到這里了，如果您對今天的文章有獨特的想法，歡迎給我們留言，讓我們相約明天，祝您今天過得開心快樂！

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!

參考資料：百度百科，《SPSS 23 統計分析實用教程》

翻譯：百度翻譯

本文由learningyard新學苑原創，部分文字圖片來源于他處，如有侵權，請聯系刪除