Basic statistics Comparison with Kelenderis staters

Coin catalogue section: |
Holmoi |

Coin corpus datasets: |
Holmoi, Group 1, Holmoi, Group 2 |

### Basic statistics

Box plots1 and basic descriptive statistics are presented in Figure 1 and Table 1, respectively. In Group 1, the coin no. 2 (Type 1.1b) is distinguished from other coins by its very low weight of 10.02 g. According to the photograph in the auction catalogue, it appears to be well preserved and without signs of metal degradation. From Group 2, coin no. 1 (Type 2.1a) was excluded from the analysis because its low weight of 8.67 g seems to be significantly affected by corrosion.

**Figure 1: **Box plots

Statistics | Group 1 | Group 2 |
---|---|---|

Number of coins: |
9 | 6 |

Mean: |
10.55 | 10.04 |

Standard deviation: |
0.22 | 0.14 |

Interquartile range: |
0.18 | 0.16 |

Skewness: |
-1.76 | -0.13 |

Kurtosis: |
5.01 | 1.88 |

Minimum: |
10.02 | 9.84 |

25th percentile: |
10.49 | 9.96 |

Median: |
10.66 | 10.04 |

75th percentile: |
10.66 | 10.12 |

Maximum: |
10.74 | 10.22 |

**Table 1:** Descriptive statistics of coin groups

Figure 2 presents the relative frequency histograms. The bars represent the relative frequencies in both groups ranging from 9.80 to 10.80 g in increments of 0.10 g. Cumulative distributions are shown in Fig. 3.

**Figure 2: **Relative frequency histograms

**Figure 3: **Cumulative distributions

### Comparison with Kelenderis staters

Kelenderis staters are divided into Groups 1, 2 and 3 (see page Coin Catalogue / Kelenderis / Overview), with Group 3 being divided into the following into the following three subgroups (see page Weight Analyses / Kelenderis, staters):

Group 3A: |
Types 3.1–3 and 3.7–12, i.e. coins of Group 3 except Types 3.4–6 and 3.13–17; |

Group 3B: |
Types 3.13–14; |

Group 3C: |
Types 3.4–6 and 3.15–17. |

A comparison of both types of Holmoi staters with individual groups of Kelenderis staters is shown in Figure 4. Holmoi Type 1 (Group 1) roughly corresponds to Kelenderis Group 3A, suggesting that these coins may have been minted around the same time period.2 Holmoi Type 2 (Group 2) shows a slightly higher weight standard than Kelenderis Group 3C, but the differences may be due to the lower number of observations.3 Thus, the production of both groups may again fall within approximately the same time period. Both these observations are confirmed by Figures 5 and 6, which present the relative frequency histograms and cumulative distributions.

**Figure 4: **Holmoi vs Kelenderis staters, box plots

**Figure 5: **Holmoi vs Kelenderis staters, relative frequency histograms

**Figure 6: **Holmoi vs Kelenderis staters, cumulative distributions

1The bottom and top of each box are the 25th and 75th percentiles of the dataset, respectively (the lower and upper quartiles). Thus, the height of the box corresponds to the interquartile range (IQR). The red line inside the box indicates the median. Whiskers (the dashed lines extending above and below the box) indicate variability outside the upper and lower quartiles. From above the upper quartile, a distance of 1.5 times the IQR is measured out and a whisker is drawn up to the largest observed data point from the dataset that falls within this distance. Similarly, a distance of 1.5 times the IQR is measured out below the lower quartile and a whisker is drawn down to the lowest observed data point from the dataset that falls within this distance. Observations beyond the whisker length are marked as outliers and are represented by small red circles.

2The Kolmogorovâ€“Smirnov statistics of Holmoi Type 1 versus Kelenderis Groups 1, 2, 3A, 3B and 3C are 0.583, 0.596, 0.381, 0.452 and 0.854, respectively. The p-value of Kolmogorov-Smirnov test of the equality of weight distribution of Holmoi Type 1 and the Kelenderis Group 3A is 0.127 (the equality of distributions is not rejected at the 5% level of significance).

3The Kolmogorovâ€“Smirnov statistics of Holmoi Type 2 versus Kelenderis Groups 1, 2, 3A, 3B and 3C are 0.917, 1.000, 0.961, 0.928 and 0.362, respectively. The p-value of Kolmogorov-Smirnov test of the equality of weight distribution of Holmoi Type 2 and the Kelenderis Group 3C is 0.438 (the equality of distributions is not rejected at the 5% level of significance).

4 August 2023 – 17 February 2024