Performs Geary test for the composite hypothesis of normality,
see Geary (1935).
Usage
geary.norm.test(x, nrepl=2000)
Arguments
x
a numeric vector of data values.
nrepl
the number of replications in Monte Carlo simulation.
Value
A list with class "htest" containing the following components:
statisticthe value of the Geary statistic.
p.valuethe p-value for the test.
methodthe character string "Geary test for normality".
data.namea character string giving the name(s) of the data.
Details
The Geary test for normality is based on the following statistic:
$$d = \frac{1}{ns}\sum_{i=1}^n|X_i-\overline{X}|,$$
where
$$s^2=\frac{1}{n}\sum_{i=1}^n(X_i-\overline{X})^2.$$
The p-value is computed by Monte Carlo simulation.
References
Geary, R. C. (1935): The ratio of the mean deviation to the standard deviation as a test of normality. --- Biometrika, vol. 27, pp. 310--332.