可以解释一下这道题吗谢谢

NO.PZ2022123001000128

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：

The test statistic comprises 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.

可以解释一下这道题吗谢谢

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1 个答案

品职助教_七七 · 2024年01月20日

嗨，爱思考的PZer你好：

本题问下列哪一个选项对于检验独立性的卡方检验是正确的。

A选项正确。独立性的卡方检验只看右尾。

B选项说原假设是两个变量不独立。这个描述反了，原假设是两个变量独立（independent / unrelated）。

C选项说对于两个分类变量，每个变量各有三个子分类（three levels or groups）的检验，自由度是6。这里的自由度计算错误，每个分类各有三个子分类对应三行（r=3）和三列（c=3）正确的自由度应为（r-1）*（c-1）=（3-1）*（3-1）=4。

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对于有明确答案解析的题目，翻译解析并没有意义，提问时请具体说明所需要讲解的是哪一个点。谢谢。

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2024-03-16 14:36 1 · 回答

可以解释一下这道题吗 谢谢

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可以解释一下这道题吗谢谢