The following three waves contain angular data in radians.

data1 data2 data3
0.807147 0.805069 0.868458
0.833586 0.864931 0.908372
0.82321 0.798963 0.882047
0.852588 0.737689 0.826652
0.803217 0.836012 0.871351
0.801726 0.825248 0.838512
0.802302 0.858259 0.862167
0.685651 0.734124 0.816303
0.856109 0.749409 0.871654
0.84199 0.765344 0.999934
0.784985 0.739025 0.855328
0.845909 0.799217 0.912431

Testing the hypothesis H0: data1 and data2 are samples from the same distribution. To run the test execute:

StatsWatsonUSquaredTest/T=1/Q data1,data2

The results are displayed in the Watson U2 Test table:

Total_Points 24
Watson_U2 0.1386
Critical_Tiku 0.18524
Approx_P 0.130043
Critical 0.186238

In this case the U2 statistic is smaller than the critical value and so H0: (the two samples came from the same distribution) can't be rejected. Note that although we don't really need the Tiku approximation in this case, it appears to be pretty close to the exact critical value.

Applying the same test to data1 and data3:

StatsWatsonUSquaredTest/T=1/Q data1,data3

The results are displayed in the Watson U2 Test table:

Total_Points 24
Watson_U2 0.20370
Critical_Tiku 0.18524
Approx_P 0.03405
Critical 0.18623

The test statistic is larger than the critical value so we reject H0 (at the 0.05 significance).

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