VecStatGraphs2D (version 1.6)

RayleighTest: Rayleigh test. Formal test of uniformity

Description

This function performs the Rayleigh test of uniformity.

Usage

RayleighTest(azimuths)

Arguments

azimuths

Vector containing the values of the azimuths

Value

• Returns the value of the probability of accepting the hypothesis of uniformity.

Details

This test detects a single modal direction in a sample of azimuths when the mean azimuth is unspecified. The hypothesis of uniformity is rejected if the mean module is very large. This test assumes that a large mean module implies a high concentration around the mean and, therefore, less probability that the data are uniformly distributed. One way to obtain a set of azimuths from X and Y coordinates of the vectors is to use the LoadData function.

References

Fisher N.I. (1995) Statistical analysis of circular data. Cambridge. Cambridge University Press. Website http://gim.unex.es/VecStatGraphs2D/

See Also

ValuationOfUniformity, RaoTest.

Examples

FileName<-system.file("data/RectangularData.txt", package="VecStatGraphs2D")
   dat<-LoadData(FileName, Type=2, Direction=2)
   azimuths<-dat[,2]
   RayleighTest(azimuths)