The hierarchical clustering algorithm, especially Pearson correlation coefficient, along with other statistical approach, is used statistical approach for determining the toxic elements affinities in coal, and this method is one of the common approaches due to the correlations between some elements with minerals that cannot be chemically affiliated. This study aims to correlate geochemical and mineralogical and data of the lower seam (up to 30 m) in the Soma coalfield with Cosine and Bray-Curtis similarity measures, Chebyshev and Canberra distance metrics, and also Pearson correlation and Tanimoto coefficients. The results have been evaluated using agglomerative hierarchical clustering algorithm with average linkage, and elements are grouped in several clusters. Some of the similarity measures and distance metrics do not seem to agree with mineralogical and geochemical data. However, elements affiliated with aluminosilicate elements (e.g., Al, K, and Cs) are grouped, and elements (e.g., As, Mo and U) related to redox conditions in coal depositional environment are located in the same group according to Pearson correlation coefficient and Cosine similarity. In addition, this data has been observed in agreement with SEM-EDX and XRD data of studied coal samples. The present study indicates that Cosine similarity could be an alternative for the Pearson correlation coefficient in coal studies.

层次聚类算法，特别是皮尔逊相关系数，以及其他统计方法，被用于确定煤中有毒元素亲和性的统计方法，由于某些元素与矿物之间的相关性无法确定，因此该方法是常用的方法之一。化学相关。本研究旨在将 Soma 煤田下层（高达 30 m）的地球化学和矿物学数据与 Cosine 和 Bray-Curtis 相似性度量、Chebyshev 和 Canberra 距离度量以及 Pearson 相关性和 Tanimoto 系数相关联。使用具有平均链接的凝聚层次聚类算法对结果进行了评估，并将元素分组到几个集群中。一些相似性度量和距离度量似乎与矿物学和地球化学数据不一致。但是，与铝硅酸盐元素相关的元素（如Al、K和Cs）被归为一组，而与煤沉积环境中的氧化还原条件相关的元素（如As、Mo和U）根据皮尔逊相关系数位于同一组中。和余弦相似度。此外，已观察到该数据与所研究煤样品的 SEM-EDX 和 XRD 数据一致。本研究表明，余弦相似性可以替代煤炭研究中的皮尔逊相关系数。根据皮尔逊相关系数和余弦相似度，与煤沉积环境中氧化还原条件相关的 Mo 和 U) 属于同一组。此外，已观察到该数据与所研究煤样品的 SEM-EDX 和 XRD 数据一致。本研究表明，余弦相似性可以替代煤炭研究中的皮尔逊相关系数。根据皮尔逊相关系数和余弦相似度，与煤沉积环境中氧化还原条件相关的 Mo 和 U) 属于同一组。此外，已观察到该数据与所研究煤样品的 SEM-EDX 和 XRD 数据一致。本研究表明，余弦相似性可以替代煤炭研究中的皮尔逊相关系数。