Development of Hartigan’s Dip Statistic with Bimodality Coefficient to Assess Multimodality of Distributions

Table 4

Accuracy for multimodal models.

Type	Method	n
		5	7	10	20	30	50	100	200	300
Two normal mixture	BC	0	1.7	8.5	52.6	74.6	91.3	98.6	99.9	100
	HDS	6.3	14.8	20	41.9	62.3	85	99.2	100	100
	HDSw/BC(Quad)	9.6	21.5	30.4	60.7	78.7	94.1	100	100	100
	HDSw/BC(Irr)	26.5	37.3	47.1	74.7	86.8	97	100	100	100
Two lognormal mixture	BC	0	1.5	3	16.1	23.2	27.5	29.3	28.4	23.3
	HDS	6.4	6.9	8.9	15.7	17.9	30.2	55	79.2	92.5
	HDSw/BC(Quad)	8.5	10.8	15.1	26.5	30.8	45.3	71.3	90.3	96.6
	HDSw/BC(Irr)	22.2	23	30.4	44	47.8	61	82.8	94.7	97.8
Three normal mixture	BC	0	1.6	4.3	26.9	46.3	68.9	89.4	98.2	99.6
	HDS	8.4	10.3	13.2	26.6	39.1	63.1	92.1	100	100
	HDSw/BC(Quad)	11.1	14.2	23.5	47	61.8	83.6	98.7	100	100
	HDSw/BC(Irr)	26.6	29.4	43.7	65.9	79.1	92.6	99.6	100	100
Three Weibull mixture	BC	0	0.7	2.1	14	26.1	42.5	56.3	74.6	82
	HDS	4.8	8.8	8.5	13.7	17.3	28.3	54.9	88	98.5
	HDSw/BC(Quad)	6.4	13.3	16.6	26.1	34	49.4	78	96.7	99.8
	HDSw/BC(Irr)	19.3	26.7	33.2	42.6	52.1	67.8	88.4	99	100