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AllAzimuthStatistics <- function (azimuths, ndig = 4)
{
# Calculates the basic circular statistics from a sample of azimuths
#
# Args:
# azimuths : azimuths (degrees)
# ndig : decimal places
#
# Returns:
# Sample size
# Mean azimuth
# Mean module
# Circular standard deviation
# Circular variance
# Circular dispersal
# Von Mises parameter
# Skewness coefficient
# Kurtosis coefficient
#
n_elements = length(azimuths)
m_azimuth = MeanAzimuth(azimuths)
m_module = MeanModule(azimuths)
c_variance = CircularVariance(azimuths)
s_deviation = CircularStandardDeviation(azimuths)
vm_parameter = VonMisesParameter(azimuths)
c_dispersal = CircularDispersal(azimuths)
s_azimuth = SkewnessAzimuthCoefficient(azimuths)
k_azimuth = KurtosisAzimuthCoefficient(azimuths)
print(" ------------------------------ ")
print(" CIRCULAR STATISTICS - AZIMUTHS ")
print(" ------------------------------ ")
print(paste(" NUMBER OF ELEMENTS =", format(round(n_elements, 0), nsmall = 0)))
print(paste(" MEAN AZIMUTH =", format(round(m_azimuth, ndig), nsmall = ndig)))
print(paste(" MEAN MODULE =", format(round(m_module, ndig), nsmall = ndig)))
print(paste(" CIRCULAR STANDARD DEVIATION =", format(round(s_deviation, ndig), nsmall = ndig)))
print(paste(" CIRCULAR VARIANCE =", format(round(c_variance, ndig), nsmall = ndig)))
print(paste(" CIRCULAR DISPERSAL =", format(round(c_dispersal, ndig), nsmall = ndig)))
print(paste(" VON MISES PARAMETER =", format(round(vm_parameter, ndig), nsmall = ndig)))
print(paste(" SKEWNESS COEFFICIENT =", format(round(s_azimuth, ndig), nsmall = ndig)))
print(paste(" KURTOSIS COEFFICIENT =", format(round(k_azimuth, ndig), nsmall = ndig)))
}
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