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过儿 · 2022年04月11日

卡方分布

NO.PZ2021062201000019

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 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.

本题考察关于卡方检验的概念,由于检验统计量包含观测值和预期值之间的平方差,因此检验仅涉及一侧,即右侧,所以选A。


卡方分布的线不是一条第一象限positively skewness的线,拒绝域左面和右面都有,只是右面的比较重要,一般都用右面的吗,这题我第一选择就没选A

1 个答案

星星_品职助教 · 2022年04月14日

同学你好,

本题针对的是“the chi-square test of independence”,卡方检验独立性时的拒绝域仅在右侧。

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