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By using the “nortest” package of R, these tests can be conducted:

library(nortest)

data = rnorm(1000, 10, 2)

  • Perform Anderson-Darling test of normality:
  • ad.test(data)

  • Perform Cramér-von Mises test of normality:
  • cvm.test(data)

  • Perform Pearson chi-square test of normality:
  • pearson.test(data)

  • Perform Shapiro-Francia test of normality:
  • sf.test(data)

  • Performs the Shapiro-Wilk test of normality:
  • shapiro.test(data)

  • Lilliefors (Kolmogorov-Smirnov) test of normality:
  • lillie.test(data)

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