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

Table 3

The number of correctly detected outliers and the number of detected outliers for 𝑝=2 and 𝑚=50.

𝜖	ncp	Empr UCL			Med-Mad UCL
		𝑇^2	𝑇^2mve	𝑇^2mcd	𝑇^2	𝑇^2mve	𝑇^2mcd
(5%) 3 outliers	5	0 (0)	0(0)	0(0)	1(3)	1(4)	1(5)
	15	0 (0)	1(1)	1(1)	2(4)	3(5)	3(6)
	25	1(1)	2(2)	2(2)	3(4)	3(5)	3(6)
	35	1(1)	3(3)	2(2)	3(4)	3(6)	3(7)
	45	1(2)	3(3)	3(3)	3(4)	3(6)	3(7)
	55	2(2)	3(3)	3(3)	3(4)	3(6)	3 (7)
(10%) 5 outliers	5	0 (0)	0(0)	0(0)	1(3)	2(4)	2(5)
	15	0 (0)	1(1)	1(1)	3(4)	4(6)	4(7)
	25	0 (0)	3(3)	3(3)	4(4)	5(7)	5(8)
	35	0 (0)	5(5)	4(4)	4(5)	5(7)	5(8)
	45	0 (0)	5(5)	5(5)	4(5)	5(7)	5(8)
	55	0 (0)	5(5)	5(5)	4(5)	5(7)	5 (8)
(15%) 8 outliers	5	0 (0)	0(0)	0(0)	2(3)	2(4)	3(5)
	15	0 (0)	2(2)	1(1)	2(3)	6(7)	7(9)
	25	0 (0)	5(5)	4(4)	3(4)	8(9)	8(10)
	35	0 (0)	7(7)	6(6)	3(4)	8(10)	8(10)
	45	0 (0)	8(8)	7(7)	3(4)	8(10)	8(10)
	55	0 (0)	8(8)	8(8)	3(4)	8(10)	8 (10)
(20%) 10 outliers	5	0 (0)	0(0)	0(0)	1(3)	2(3)	3(5)
	15	0 (0)	2(2)	1(1)	2(3)	7(8)	8(10)
	25	0 (0)	5(5)	4(4)	2(3)	9(11)	10(11)
	35	0 (0)	8(8)	7(7)	2(3)	10(11)	10(12)
	45	0 (0)	10(10)	9(9)	2(3)	10(12)	10(12)
	55	0 (0)	10 (10)	10 (10)	2(3)	10(12)	10(12)