A Theoretical Analysis of Why Hybrid Ensembles Work

Table 5

Performance in F1-measure.

Number	Single		Bagging		HE
	DT	NB	DT	NB	DT + NB
	0.842 ± 0.019	0.833 ± 0.008	0.865 ± 0.012	0.833 ± 0.008	0.863 ± 0.011
	0.805 ± 0.017	0.615 ± 0.002	0.842 ± 0.013	0.616 ± 0.005	0.778 ± 0.009
	0.925 ± 0.006	0.944 ± 0.002	0.939 ± 0.006	0.944 ± 0.002	0.952 ± 0.002
	0.782 ± 0.005	0.722 ± 0.006	0.786 ± 0.006	0.724 ± 0.006	0.772 ± 0.008
	0.838 ± 0.007	0.705 ± 0.005	0.847 ± 0.004	0.709 ± 0.005	0.795 ± 0.008
	0.458 ± 0.014	0.542 ± 0.01	0.497 ± 0.016	0.546 ± 0.012	0.516 ± 0.017
	0.844 ± 0.01	0.707 ± 0.007	0.866 ± 0.009	0.716 ± 0.008	0.804 ± 0.012
	0.617 ± 0.012	0.631 ± 0.006	0.636 ± 0.011	0.633 ± 0.008	0.635 ± 0.007
	0.757 ± 0.017	0.813 ± 0.005	0.763 ± 0.021	0.814 ± 0.005	0.811 ± 0.008
	0.692 ± 0.028	0.788 ± 0.004	0.706 ± 0.023	0.782 ± 0.006	0.776 ± 0.008
	0.751 ± 0.017	0.815 ± 0.007	0.773 ± 0.018	0.814 ± 0.007	0.821 ± 0.01
	0.408 ± 0.065	0.645 ± 0.02	0.439 ± 0.066	0.645 ± 0.02	0.652 ± 0.02
	0.757 ± 0.014	0.809 ± 0.003	0.775 ± 0.011	0.811 ± 0.003	0.809 ± 0.003
	0.423 ± 0.044	0.482 ± 0.016	0.455 ± 0.037	0.466 ± 0.015	0.476 ± 0.042
	0.842 ± 0.017	0.778 ± 0.005	0.882 ± 0.013	0.783 ± 0.007	0.847 ± 0.01
(16)	0.994 ± 0.001	0.871 ± 0.002	0.994 ± 0.001	0.871 ± 0.002	0.945 ± 0.003
(17)	0.50 ± 0.027	0.505 ± 0.006	0.555 ± 0.022	0.509 ± 0.009	0.506 ± 0.016
(18)	0.894 ± 0.008	0.569 ± 0.006	0.901 ± 0.01	0.567 ± 0.005	0.842 ± 0.01
(19)	0.717 ± 0.02	0.702 ± 0.008	0.762 ± 0.03	0.701 ± 0.018	0.736 ± 0.015
(20)	0.955 ± 0.003	0.877 ± 0.002	0.955 ± 0.004	0.877 ± 0.003	0.928 ± 0.004