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StatsWheelerWatsonTest

StatsWheelerWatsonTest [/ALPH=val /Q/Z/T=k /WSTR=waveListString ] [srcWave1, srcWave2, srcWave3,...]

The StatsWheelerWatsonTest operation performs the nonparametric Wheeler-Watson test for two or more samples. Output is to the W_WheelerWatson wave in the current data folder or optionally to a table.

Flags

/ALPH=valSets the significance level (default val =0.05).
/DEST=wwWaveSpecify the destination wave for the nonparametric Wheeler-Watson test results. If you do not use this flag, the operation saves this output in the wave W_WheelerWatson in the current data folder.
This flag was added in Igor Pro 10.00.
/FREECreates the user-specified destination wave as a free wave.
/FREE is allowed only in functions, and only if the destination waves are simple names or wave reference structure fields.
See Free Waves for more discussion.
The /FREE flag was added in Igor Pro 10.00.
/QNo results printed in the history area.
/T=kDisplays results in a table. k specifies the table behavior when it is closed.
k =0:Normal with dialog (default).
k =1:Kills with no dialog.
k =2:Disables killing.
The table is associated with the test, not the data. If you repeat the test, it will update any existing table with the new results.
/WSTR=waveListString
Specifies a string containing a semicolon-separated list of waves that contain sample data. Use waveListString instead of listing each wave after the flags.
/ZIgnores errors. V_flag will be set to -1 for any error and to zero otherwise.

Details

The StatsWatsonWilliamsTest must have at least two input waves, which contain angles in radians (mod 2π), can be single or double precision, and can be of any dimensionality; the waves must not contain any NaNs or INFs.

The Wheeler-Watson H0 postulates that the samples came from the same population. The extension of the test to more than two samples is due to Mardia. The Wheeler-Watson test is not valid for data with ties, in which case you should use Watson's U2 test.

V_flag will be set to -1 for any error and to zero otherwise.

References

Mardia, K.V., Statistics of Directional Data, Academic Press, New York, New York, 1972.

See, in particular, Chapter 27 of:

Zar, J.H., Biostatistical Analysis, 4th ed., 929 pp., Prentice Hall, Englewood Cliffs, New Jersey, 1999.

See Also

Statistical Analysis, StatsWatsonUSquaredTest, StatsWheelerWatsonTest

Demos

Open Wheeler-Watson Demo.pxp