Improved Nonparametric Control Chart Based on Ranked Set Sampling with Application of Chemical Data Modelling

Table 3

RL characteristics of the SRS-based NP double EWMA SR (NPDEWMA-SR) control chart under different distributions with nominal and .

(, L)	Distr.	Metrics
			0	0.025	0.03	0.05	0.075	0.1	0.15	0.2	0.25	0.5	0.75	1	1.5	2
(0.05, 6.57)	Normal	ARL	499.98	299.203	248.03	138.03	75.74	48.00	25.01	15.56	10.61	3.34	1.83	1.32	1.04	1.00
		SDRL	541.40	328.41	263.05	139.82	70.76	41.34	20.34	12.27	8.212	2.33	1.06	0.62	0.18	0.04
	t(4)	ARL	501.45	247.01	203.44	101.38	53.60	34.72	18.00	11.22	7.65	2.59	1.59	1.26	1.05	1.01
		SDRL	546.82	262.02	212.45	98.27	47.57	28.83	14.12	8.69	5.84	1.71	0.81	0.55	0.25	0.19
	t(8)	ARL	500.89	276.24	233.07	123.93	67.04	42.69	22.11	13.80	9.63	3.05	1.75	1.31	1.03	1.00
		SDRL	538.51	294.92	249.16	125.19	62.10	37.00	17.45	10.71	7.34	2.06	0.95	0.61	0.25	0.11
	CN	ARL	498.95	287.54	241.30	131.10	70.67	45.13	23.52	14.58	10.10	3.21	1.79	1.28	1.05	1.00
		SDRL	545.49	310.49	257.85	131.20	65.12	39.27	18.58	11.42	7.71	2.22	1.00	0.58	0.23	0.09
	Laplace	ARL	499.36	231.49	188.36	92.09	49.45	31.50	16.38	10.37	7.19	2.58	1.64	1.29	1.08	1.01
		SDRL	535.19	247.33	197.44	90.20	42.65	26.11	13.01	8. 00	5.46	1.71	0.89	0.59	0.29	0.15
	Logistic	ARL	499.45	280.87	236.702	123.83	66.59	42.46	21.79	13.52	9.40	3.08	1.734	1.30	1.03	1.00
		SDRL	549.41	300.01	250.82	124.01	61.03	36.55	17.47	10.57	7.32	2.12	1.00	0.56	0.32	0.05