Hydrogeological Cluster Analysis With Average Linkage and Ward Method in The Southern Slope of Merapi Mountain

Riswandi, Herry and Supandi, Supandi and Sukiyah, Emi and TANIA, DINA (2020) Hydrogeological Cluster Analysis With Average Linkage and Ward Method in The Southern Slope of Merapi Mountain. In: The 5th International Conference of Geological Engineering Faculty, 2020, TIIKM.

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Abstract

This study aims to see the cluster analysis process using the average linkage method and the Ward method, and comparing thus results in analysis to clustering several
related variables deciding to use the data of depth and hydro chemical character of groundwater. Processing cluster analysis with the average linkage method is pairing objects that combine into one cluster. Then, calculating the two proximity of the object to another variable, the next merging occurs in the most similar clusters than other variables, forming the second cluster. The second combination is to calculate using the average linkage method formula, forming a new distance matrix. The cluster analysis steps with the Ward method starts by the close look at N clusters, which have one respondent for each cluster (all variables consider cluster). The first cluster is formed by selecting two of these N groups, which, when combined, have the smallest value of Error Sum of Squares (SSE). N-1 clusters then consider again to determine which of these two clusters can minimize heterogeneity. Thus, N clusters are systematically reduced by N-1, become N-2, and so on until they become one cluster. The results of clustering the two methods compared with the criteria for standard deviation within groups (SW) and standard deviation between groups (SB). The best method has a smaller SW and SB ratio. The results showed that the average linkage method and the Ward method have an SB and SW ratio value. This result shows that the average linkage method has better performance than the
Ward method.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	Q Science > QE Geology
Divisions:	Faculty of Engineering, Science and Mathematics > School of Engineering Sciences
Depositing User:	Dr., ST.MT HERRY RISWANDI
Date Deposited:	23 May 2023 13:06
Last Modified:	23 May 2023 13:07
URI:	http://eprints.upnyk.ac.id/id/eprint/35174

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