Coin catalogue sections: | Aphrodisias |
Coin corpus datasets: | Aphrodisias, Staters; Aphrodisias, Obols |
Descriptive statistics for the corpus datasets of staters and obols are presented in Table 1. Figure 1 shows for the staters the relative frequencies against the left axis (ranging from 9.85 to 10.00 g in increments of 0.05 g) and the cumulative distribution against the right axis. Figure 2 shows the relative frequencies of the weights of obols, ranging from 0.50 to 0.85 g in increments of 0.05 g, with the continuous curve representing the maximum likelihood approximation of the data by the Weibull distribution1. The only known specimen of Type 2a so far is characterized by a very low weight and is therefore not included in this histogram. Its weight is represented by the red circle on the horizontal axis. The cumulative weight distribution of obols is shown in Figure 3.
Statistics | Staters | Obols |
---|---|---|
Number of coins: | 5 | 21 |
Mean: | 9.94 | 0.63 |
Standard deviation: | 0.05 | 0.10 |
Interquartile range: | 0.09 | 0.13 |
Skewness: | 0.00 | -0.10 |
Kurtosis: | 1.43 | 2.95 |
Minimum: | 9.88 | 0.40 |
25th percentile: | 9.90 | 0.58 |
Median: | 9.94 | 0.63 |
75th percentile: | 9.98 | 0.71 |
Maximum: | 10.00 | 0.83 |
Table 1: Descriptive statistics
Figure 1: Staters, relative frequency histogram and cumulative distribution
Figure 2: Obols, relative frequency histogram
Figure 3: Obols, cumulative distribution
1The probability density function of the Weibull distribution is f(x;a,b) = b/a×(x/a)b-1×exp(-(x/a)b) for x≥0, and f(x;a,b) = 0 for x<0, where a>0 is the shape parameter and b>0 is the scale parameter of the distribution. The estimated values of these parameters:
a: 0.685;
b: 7.659.
27 October 2024