I have a question about the D'Agostino skewness test and the Anscombe-Glynn
kurtosis test.
agostino.test(x, alternative = c("two.sided", "less", "greater"))
anscombe.test(x, alternative = c("two.sided", "less", "greater"))
The option "alternative" in those two functions seems to be the null
hypothesis. In the output, the statement about the alternative hypothesis is
correct, which is opposite to what you specify in command. An example
below:
> skewdata =
c(rep(44,5),rep(43,15),rep(42,10),rep(41,4),rep(40,3),rep(39,2),rep(38,1))
> agostino.test(skewdata, alternative = "greater")
D'Agostino skewness test
data: skewdata
skew = -1.0014, z = -1.7209, p-value = 0.04264
alternative hypothesis: data have negative skewness
> anscombe.test(skewdata, alternative=less")
Anscombe-Glynn kurtosis test
data: skewdata
kurt = 3.4748, z = 1.0716, p-value = 0.1419
alternative hypothesis: kurtosis is greater than 3
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