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Olivia.W🌸 · 2023年08月31日

自由度df

NO.PZ2023061301000027

问题如下:

Which of the following statements is correct regarding the chi-square test of

independence?

选项:

A.

The test has a one-sided rejection region.

B.

The null hypothesis is that the two groups are dependent.

C.

If there are two categories, each with three levels or groups, there are six

degrees of freedom.

解释:

A is correct. The test statistic includes squared differences between the observed

and expected values, so the test involves only one side, the right side. B is incorrect

because the null hypothesis is that the groups are independent, and C is

incorrect because with three levels of groups for the two categorical variables,

there are four degrees of freedom.

df怎么计算呢????

1 个答案

星星_品职助教 · 2023年09月03日

同学你好,

独立性检验的df如下:

根据题干中给出的两个分类变量“each with three levels or groups”,可知每个都有三个子分类,即三行三列。所以r=3,c=3,df=(3-1)×(3-1)=4

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