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

Table 2

The number of correctly detected outliers and the number of detected outliers for 𝑝=2 and 𝑚=30.

𝜖	ncp	Empr UCL			Med-Mad UCL
		𝑇^2	𝑇^2mve	𝑇^2mcd	𝑇^2	𝑇^2mve	𝑇^2mcd
(5%) 2 outliers	5	0 (0)	0(0)	0(0)	1(2)	1(2)	1(4)
	15	0 (0)	1(1)	0(0)	1(2)	2(3)	2(5)
	25	1(1)	1(1)	1(1)	2(2)	2(3)	2(5)
	35	1(1)	2(2)	1(1)	2(2)	2(3)	2(5)
	45	1(1)	2(2)	1(1)	2(2)	2(3)	2(5)
	55	1(1)	2(2)	2(2)	2(2)	2(3)	2 (5)
(10%) 3 outliers	5	0 (0)	0(0)	0(0)	1(2)	1(2)	1(4)
	15	0 (0)	1(1)	0(0)	2(2)	2(4)	3(5)
	25	0 (0)	2(2)	1(1)	2(3)	3(4)	3(6)
	35	0 (0)	2(2)	1(1)	2(3)	3(4)	3(6)
	45	0 (0)	3(3)	2(2)	3(3)	3(4)	3(6)
	55	0 (0)	3(3)	2(2)	3(3)	3(4)	3 (6)
(15%) 5 outliers	5	0 (0)	0(0)	0(0)	1(2)	1(2)	2(4)
	15	0 (0)	1(1)	0(0)	1(2)	3(4)	4(6)
	25	0 (0)	2(2)	1(1)	2(2)	4(5)	5(7)
	35	0 (0)	4(4)	2(2)	2(2)	5(5)	5(7)
	45	0 (0)	4(4)	3(3)	2(2)	5(5)	5(7)
	55	0 (0)	5(5)	4(4)	2(2)	5(5)	5 (7)
(20%) 6 outliers	5	0 (0)	0(0)	0(0)	1(1)	1(3)	2 (5)
	15	0 (0)	1(1)	1(1)	1(2)	3(4)	5(7)
	25	0 (0)	3(3)	1(1)	1(2)	5(6)	6(7)
	35	0 (0)	4(4)	2(2)	1(2)	6(6)	6(7)
	45	0 (0)	5(5)	3(3)	1(2)	6(7)	6(7)
	55	0 (0)	6(6)	4(4)	1(2)	6(7)	6(8)