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. 2019 May 30;9(5):e022980. doi: 10.1136/bmjopen-2018-022980

Table 3.

Scores of homogeneity, completeness and V-measure for the clustering result at different values of the desired number of clusters, k

Homogeneity Completeness V measure
k=2 0.00008 0.00014 0.00010
k=3 0.00142 0.00116 0.00128
k=4 0.13125 0.07194 0.09294
k=5 0.12335 0.06106 0.08168

The value k=4, gives the highest homogeneity, meaning that patients in each group are more likely to share the regimen they were randomised to. Adding a fifth group decreases both homogeneity and completeness because now there are three groups that cannot differentiate well between regimen-C and regimen-DI. In general, additional groups might increase homogeneity but will always decrease completeness.