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The national prevalence rate of HIV/AIDS in Ethiopia is 0.9%. This research has used clustering of HIV patients in Ethiopia to explore relationships between HIV patients within and between clusters. Therefore, the general objective of the study is to cluster HIV patients and to find out the factors that affect HIV within a group (cluster) and between groups (clusters) of HIV patients. Method Data Source and Study Design The source of the data was obtained from the Ethiopian Demographic Health Survey (EDHS) conducted in 2016. It is a cross-sectional study design conducted from January 18, 2016 to June 27, 2016. Statistical Analysis Variables Response variable: The response variable for this study is the HIV status of the respondents whose result is positive or negative, which can be recorded as binary (1 = positive, 0 = negative). ....