normality (version 0.0.3)

Jarque_Bera_test: Jarque-Bera Normality Test

Description

Performs the Jarque-Bera chi-squared test, a moment-based omnibus test for assessing normality.

Usage

Jarque_Bera_test(
  x,
  alpha = 0.05,
  alternative = c("two.sided", "less", "greater"),
  silent = FALSE,
  summary = TRUE
)

Value

A list

Arguments

x

Numeric vector. Must contain at least 20 observations.

alpha

Numeric (default: 0.05). Significance level for hypothesis testing. Must be between 0 and 1.

alternative

Character (default: "two.sided"). Specifies the alternative hypothesis. Available options are c("two.sided", "less", "greater"). This argument applies only to the skewness and kurtosis components and does not affect the Jarque-Bera omnibus test statistic itself.

silent

Logical (default: FALSE). If FALSE, results are printed to the console.

summary

Logical (default: TRUE). Produce a summary table.

Details

The test evaluates the null hypothesis that the data are drawn from a normal distribution by combining standardized measures of skewness and kurtosis into a single chi-squared test statistic.

References

Jarque, C.M., Bera, A.K., 1987. A Test for Normality of Observations and Regression Residuals. Int. Stat. Rev. 55, 163–172. https://doi.org/10.2307/1403192

See Also

D.Agostino_Pearson_test()

Examples

out <- Jarque_Bera_test(rnorm(50))
print(out$summary)