Weight Analysis

Seleukos VI

Comparison of Antioch Mint and Seleukeia ad Kalykadnon Mint

Basic characteristics:
The data sample of Seleukeia ad Kalykadnon mint is very small. Nevertheless, it seems that tetradrachms of Antioch mint have somewhat different distribution from the one of tetradrachms of Seleukeia ad Kalykadnon mint. 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 0.400 is less than the exact cutoff value of 0.675 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: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Descriptive statistics
Fig. 1: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Descriptive statistics

Fig. 2: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Histograms
Fig. 2: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Histograms

Fig. 3: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Probability density estimations, Epanechnikov kernel
Fig. 3: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Probability density estimations, Epanechnikov kernel

Fig. 4: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Probability density estimations, Gaussian kernel
Fig. 4: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Probability density estimations, Gaussian kernel

Fig. 5: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Empirical cumulative distribution functions
Fig. 5: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Empirical cumulative distribution functions

Fig. 6: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Box-percentile plots
Fig. 6: Seleukos VI, Antioch Mint and Seleukeia ad Kalykadnon Mint - Box-percentile plots

1 See Statistical Glossary, Box-percentile plot.

2 Also known as the Mann-Whitney test.

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