Statistics.ShapiroWilks Method

#	Name	Description
1	Data	Data vector, containing ordered and unique deviates from unknown distribution. Data Length must be betweeen 3 and 5000, otherwise an execption is raised.
2	hRes	Returns the result of the null hypothesis (default assumption is that data comes from normal distribution).
3	hType	Defines the type of the null hypothesis (left, right and two - tailed).
4	Signif	(Significance level) returns the probability of observing the given result by chance given that the null hypothesis is true.
5	Alpha	Defines the desired significance level. If the significance probability (Signif) is bellow the desired significance (Alpha), the null hypothesis is rejected.

Returns: Double - the Shapiro-Wilks statistics.

Copyusing Dew.Math;
using Dew.Stats;
using Dew.Stats.Units;
namespace Dew.Examples
{
    private void Example()
    {
        Vector a = new Vector(0);
        Vector b = new Vector(0);
        a.Size(1000, false);
        StatRandom.RandomWeibull(2.5, 1.0, a, -1);
        // filter original data, retain only sorted unique values
        Statistics.Unique(a, b, null);
        THypothesisResult hres;
        double sign;
        Statistics.ShapiroWilks(b, out hres, out sign, THypothesisType.htTwoTailed, 0.05);
        // Significance approx. 0
        // hres = hrReject -> data is not coming from normal distribution
    }
}