Weight Analysis

Kleopatra Thea and Antiochos VIII

Comparison of Ake-Ptolemais Mint and Damaskos Mint

Basic characteristics:
Basic descriptive statistics of both samples are presented in Figure 1. Histograms are presented in Figure 2, kernel density estimations are presented in Figures 3 and 4, and empirical cumulative distribution functions are presented in Figure 5. Figure 6 shows box-percentile plots.¹

Test of differences:
The Kolmogorov-Smirnov test was used to test the hypothesis that both distributions are the same. The test statistic of 0.509 is less than the exact cutoff value of 0.614 for a 95% level test. Thus, at the 95% level of significance, we cannot reject the hypothesis that the weight distributions of tetradrachms of both mints are the same. Note that the Wilcoxon rank sum test² gives the same conclusion.

Fig. 1: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Descriptive statistics

Fig. 2: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Histograms

Fig. 3: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Probability density estimations, Epanechnikov kernel

Fig. 4: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Probability density estimations, Gaussian kernel

Fig. 5: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Empirical cumulative distribution functions

Fig. 6: Kleopatra Thea and Antiochos VIII, Ake-Ptolemais Mint and Damaskos Mint - Box-percentile plots

¹ See Statistical Glossary, Box-percentile plot.

² Also known as the Mann-Whitney test.

www.SFAGN.info • July 11, 2004 – December 12, 2004

Top of Page