An Improvement of the Hotelling 𝑇^𝟐 Statistic in Monitoring Multivariate Quality Characteristics

Table 6

The correct detection rate for 𝑚=50 and 𝑝=2.

𝜖	Correct detection rate
	Detection method		ncp = 5	ncp = 15	ncp = 25	ncp = 35	ncp = 45	ncp = 55
(5%) 3 outliers	DRGP	𝑇^2mve	0.38	0.66	0.69	0.68	0.67	0.68
		𝑇^2mcd	0.37	0.65	0.69	0.69	0.68	0.69
	Without DRGP	𝑇^2mve	0.36	0.59	0.60	0.60	0.59	0.59
		𝑇^2mcd	0.31	0.52	0.53	0.53	0.53	0.54
(10%) 5 outliers	DRGP	𝑇^2mve	0.49	0.78	0.81	0.81	0.81	0.80
		𝑇^2mcd	0.49	0.78	0.82	0.82	0.82	0.80
	Without DRGP	𝑇^2mve	0.47	0.71	0.72	0.72	0.72	0.71
		𝑇^2mcd	0.42	0.66	0.67	0.68	0.68	0.68
(15%) 8 outliers	DRGP	𝑇^2mve	0.55	0.85	0.91	0.91	0.92	0.91
		𝑇^2mcd	0.56	0.87	0.91	0.91	0.92	0.91
	Without DRGP	𝑇^2mve	0.54	0.8	0.83	0.83	0.83	0.83
		𝑇^2mcd	0.52	0.78	0.82	0.81	0.81	0.81
(20%) 10 outliers	DRGP	𝑇^2mve	0.54	0.81	0.93	0.95	0.95	0.95
		𝑇^2mcd	0.55	0.85	0.94	0.95	0.95	0.95
	Without DRGP	𝑇^2mve	0.57	0.81	0.87	0.87	0.87	0.86
		𝑇^2mcd	0.56	0.84	0.87	0.86	0.87	0.86