Application of Agglomerative Hierarchical Clustering to Classification of Housing Units in Nigeria by Types of Construction Materials
Authors
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H.B Joseph_Ikughur
Department of Mathematics/ Statistics/ Computer Science, Joseph Sarwuan Tarka University,Makurdi,Nigeria
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Nwaosu, S. C.
Department of Mathematics/ Statistics/ Computer Science, Joseph Sarwuan Tarka University, Makurdi, Nigeria
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Udoumoh, F. E.
Department of Mathematics/ Statistics/ Computer Science, Joseph Sarwuan Tarka University, Makurdi, Nigeria
Abstract
Housing and quality of houses can be categorized based on several criteria including cost of constructions, quality of materials, construction quality, location of building among others. In this paper, Agglomerative Hierarchical Clustering (AHC) technique is utilized to classify housing by types of material used in their construction as well as their locations. Single Linkage and the Ward`s methods along with Analysis of Variance (ANOVA) were used for analysis. The result showed that three (3), four (4) and four (4) clusters were respectively formed for roof, floor and wall types of materials. Cluster membership was used to identify the locations of this clusters that was formed and materials used at these locations with the help of final cluster center. The Analysis of variance (ANOVA) which validated the results in this paper showed that cluster classification of the roof, floor and wall types in Nigeria by Hierarchical Agglomerative Clustering method was good.
Keywords: Agglomerative Hierarchical Clustering, Classification, Housing, ANOVA