正态性检验方法在教学研究中的应用

Discussion on the Application of Normality Test Method in Teaching Research

针对目前很多研究者在进行正态性检验时仅会依据自己的习惯或喜好来选择方法这一状况,文章从常用方法中选取Jarque-Bera检验、Shapiro-Wilk检验、D'Agostino检验、KolmogorovSmirnov检验以及Lilliefors检验这五种正态性检验方法进行简要论述,利用Monte Carlo法分析比较五种检验在不同样本量的不同分布下的检验功效或Ⅰ型错误率,再结合SAS、SPSS和R这三种常用的教学统计软件,讨论正态性检验方法的选取问题,以期为科研工作者选择正态性检验方法时提供参考。

In view of the situation that many researchers will select different normality test methods only according to their own habits and preferences at present, five normality test methods, including Jarque - Bera test, Shapiro -Wilk test, D＇Agostino test, Kolmogorov -Smirnov test and Lilliefors test, are chosen from as the object of study and then briefly discussed. By using Monte Carlo analyze and compare the test power of five test methods and the error rate of type I under different distribution of different samples. Then, combined with SAS, SPSS and R these three kinds of commonly used statistical software in teaching, the paper discusses the selection of normality test method, in order to give reference for researchers to select the normality test method.