發布時間:2025-06-26 15:04編輯:融躍教育CFA
CFA一級定量分析例題chi-square test of independence
Which of the following statements is correct regarding the chi-square test of independence?
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.
答案:A
解析:Ais 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.
關聯考點:Parametric and Non-Parametric Tests of Independence
易錯點分析:
通常,我們使用列聯表來檢驗兩個特征之間是否存在獨立性,例如在一個包含earnings growth和dividend yield的表中。原假設是這兩個特征是獨立的;檢驗的自由度由兩個特征的組數決定,計算公式為自由度df = (r-1)(c-1),其中r和c分別是兩個特征的組數。
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