Suppose the input wave meansData consists of the following 9 circular means:

Mean Angle Vector Length
2.1496 1.31703
2.08947 1.08571
1.53258 0.912532
1.84505 0.821982
1.49443 0.91064
2.22017 1.14402
2.43167 1.07997
2.17959 0.904853
2.21432 1.02146

To perform a non-parametric second order analysis (H0: uniform distribution around the circle) execute the following command:

StatsCircularMeans/CI/T=1/NSOA meansData
n 9
rBar 0.977971
tBar 2.04487
CI_t1 2.33663
CI_t2 1.66823
NSOA_Rp 1.60638
NSOA_Critical 1.05422
alpha 0.05

As NSOA_Rp > NSOA_Critical H0 (uniform distribution) must be rejected.

To perform a parametric second order analysis (assumes that the second order quantities are taken from a bivariate normal distribution), execute the command:

StatsCircularMeans/T=1/CI/PSOA meansData
n 9
rBar 0.977971
tBar 2.04487
CI_t1 2.33663
CI_t2 1.66823
PSOA_F 216.986
PSOA_Critical 4.73741
alpha 0.05

Here again H0 of uniformly distributed data must be rejected.

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