商务统计学第六版 第十一章笔记

Chapter 11 chi-square tests

11.1 chi-square test for thedifference between two proportions

Using: Categorical variables    and   categorical variable

Tool: Contingency table 

Test statistic: χ2   (卡方统计量,不是未知数x,是卡方,写出来比x要长,右上方还有一个2.)

χtest for the difference between two proportions

 

step1: hypothesis:

H0: π1=π2  (theseis no difference between the two population proportions)

H1: π1≠π2  (theseis difference between the two population proportions)

Step2: χ2 test for the difference between two proportions

商务统计学第六版 第十一章笔记

Step3: make decision

商务统计学第六版 第十一章笔记

商务统计学第六版 第十一章笔记

 

11.2 chi-square test for differencesamong more than two proportions

step1: hypothesis:

H0: π12=……=πn

H1: not all πj are equal  (wherej=1,2…,c)

Step2: χ2 test for the difference between two proportions

商务统计学第六版 第十一章笔记

f0= observed frequency in aparticular cell of a 2 ╳contingency table

fe= expected frequency in aparticular cell if the null hypothesis is true

degrees of freedom =(2-1)(c-1)=c-1

Step3: make decision

商务统计学第六版 第十一章笔记

商务统计学第六版 第十一章笔记

11.3 chi-square test of independence

STEP1: H0:the two categoricalvariables are independent

H1:the two categorical variables are dependent

STEP2:

商务统计学第六版 第十一章笔记

商务统计学第六版 第十一章笔记

STEP3: 

商务统计学第六版 第十一章笔记

(degrees of freedom=(r-1)(c-1))

来源:渺小星辰之光,本文观点不代表自营销立场,网址:https://www.zyxiao.com/p/104341

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