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Each of the following is true about the ...

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题目

Each of the following is true about the chi-square and F distributions EXCEPT:

选项

A.The chi-square distribution is used to test a hypothesis about a sample variance; i.e., given an observed sample variance, is the true population variance different than a specified value?

B.As degrees of freedom increase, the chi-square approaches a lognormal distribution and the F distribution approaches a gamma distribution

C.The F distribution is used to test the joint hypothesis that the partial slope coefficients in a multiple regression are significant; i.e., is the overall multiple regression significant?

D.Given a computed F ratio, where F ratio = (ESS/df)/(SSR/df), and sample size (n), we can compute the coefficient of determination 「huixue_img/importSubject/1564169386175107072.png」 in a multiple regression with (k) independent variables (regressors)

答案

B

解析

Both approach a normal distribution; all of the so-called sampling distributions (student t, chi-square, F) approach normal 两者都接近正态分布; 所有所谓的采样分布(学生t,卡方,F)都接近正态分布。