RaoTest: Rao test. Formal test of uniformity
In VecStatGraphs2D: Vector Analysis using Graphical and Analytical Methods in 2D

Description Usage Arguments Details Value Author(s) References See Also Examples

This function performs the Rao test of uniformity.

1	RaoTest(azimuths, Alpha = 0.01)

`azimuths`	Vector containing the values of the azimuths
`Alpha`	Significance level. Value used to obtain the Rao Value of the Rao Table. The values can be 0.001, 0.005, 0.01, 0.05, 0.1, 0.5, or 0.9. The default is 0.01.

For a uniform distribution, the space between points should be approximately 360/n. If the space deviates much from this value, then the probability that the data belong to a uniform distribution is reduced.

One way to obtain a set of azimuths from X and Y coordinates of the vectors is to use the LoadData function.

Typical usages are

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3

    RaoTest(azimuths, \dots)
    ......

Returns the p-value and indicates whether the hypothesis of uniformity can be accepted.

Ruiz-Cuetos, J.C., jcruizcue@gmail.com, Felicisimo, A.M., amfeli@unex.es, Cuartero, A., acuartero@unex.es, Polo, M.E., mepolo@unex.es, Rodriguez, P.G. pablogr@unex.es

Bachelet E. (1981) Circular statistics in biology. London. London Academic Press.

Jammalamadaka S.R., Sengupta A. (2001) Topic in circular statistics. Singapore. World Scientific Publishing.

Mardia K.V. , Jupp, P.E. (2000) Directional statistics. Chichester. Wiley.

Russell G.S. , Levitin D.J. (1995) An expanded table of probability values for Rao spacing test. Communications in Statistics: Simulation and Computation, 24(4), 879-888.

Website http://gim.unex.es/VecStatGraphs2D/

DrawQQPlot, RayleighTest.

   FileName<-system.file("data/RectangularData.txt", package="VecStatGraphs2D")
   dat<-LoadData(FileName, Type=2)
   azimuths<-dat[,2]
   RaoTest(azimuths, Alpha = 0.01)