Abstract
Directional data analysis method is used in the observed values that are obtained angularly. In this technique, every observation obtained as an angular data type is located on the unit circle axis and a mean vector in relation to the data is formed. The statistical computations are obtained through that mean vector. In this study, some of the basic directional statistical methods are aimed to be analyzed. In accordance with this purpose, the angles between teats are measured six times in the mornings before milking the goats during the lactation period. Some directional statistics were obtained from this analysis by these teat angles measurements were analyzed. As a consequence, the length of mean vector increased while the circular variance was decreasing. The lowest variance and the maximum length of the mean vector are obtained in the 6th test milking. In addition, according to the Watson-Williams F test, which is used to determine whether there is a difference between the mean angles, the differences between the mean angles of test milking 5 and 6 are found to be statistically important (p<0.05) and the mean angles decrease through the end of the lactation period.
Highlights
Anahtar kelimeler: Yönlü veri analizi, dairesel ölçek, dairesel istatistikler, meme başları arası açı Directional data analysis is the subfield of the statistics (Berens and Velasco 2009)
The observations obtained from the directional data cannot be analyzed with standard statistical methods
Every observation obtained by this way is located on unit circle (Gaile and Burt 1980)
Summary
Directional data analysis is the subfield of the statistics (Berens and Velasco 2009). The observations obtained from the directional data cannot be analyzed with standard statistical methods. It is because that kind of data inherently are circularly structured and they are located on the 360 degree axis (Açar 2010). The measuring instruments used to get such data are clock, compass and protractor. Every observation obtained by this way is located on unit circle (Gaile and Burt 1980). The observations of different data types (like day or month) can be transformed into angles. Traditional statistical methods may not characterize enough the statistical specifications of the data obtained from the circularly scaled variables (Mahan 1991). The arithmetic mean of 10 ̊, 30 ̊ and 350 ̊ is 130 ̊ and they show south east as the geographical
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