StatsCircularMeans Example

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

Mean AngleVector Length
2.14961.31703
2.089471.08571
1.532580.912532
1.845050.821982
1.494430.91064
2.220171.14402
2.431671.07997
2.179590.904853
2.214321.02146

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

StatsCircularMeans/CI/T=1/NSOA meansData
n9
rBar0.977971
tBar2.04487
CI_t12.33663
CI_t21.66823
NSOA_Rp1.60638
NSOA_Critical1.05422
alpha0.05

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

To perform a parameteric 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

n9
rBar0.977971
tBar2.04487
CI_t12.33663
CI_t21.66823
PSOA_F216.986
PSOA_Critical4.73741
alpha0.05

Here again H0 of uniformly distributed data must be rejected.