An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location

Table 5

ARL measures of the proposed control chart with imperfect ranked set sampling under normal distribution at and .

			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, 1.793	0.30	ARL	373.21	295.71	274.87	178.64	111.43	73.63	39.94	24.53	18.50	6.03	2.97	2.02	1.34	1.12
		MDRL	242.50	192.50	184.50	118.50	80.50	59.00	33.00	20.00	15.00	5.00	2.00	2.00	1.00	1.00
		SDRL	437.59	321.50	293.65	193.69	114.14	71.00	35.36	20.83	15.18	5.01	2.31	1.28	0.56	0.32
	0.50	ARL	370.86	282.37	265.80	154.96	101.64	67.17	37.90	23.53	16.46	5.17	2.63	1.66	1.13	1.02
		MDRL	218.50	174.50	158.50	106.50	73.00	53.00	32.50	20.00	13.00	4.00	2.00	1.00	1.00	1.00
		SDRL	454.57	327.88	315.97	169.82	104.79	64.61	32.58	19.65	14.33	4.48	2.19	1.13	0.40	0.16
	0.70	ARL	372.89	266.56	243.76	140.66	88.90	59.96	33.18	19.77	15.02	4.54	2.29	1.59	1.09	1.01
		MDRL	242.00	169.50	153.50	95.50	66.00	49.00	27.00	16.00	12.00	4.00	2.00	1.00	1.00	1.00
		SDRL	452.69	294.47	298.29	155.58	87.27	55.61	28.46	17.16	12.79	3.71	1.73	0.98	0.32	0.09
	0.90	ARL	372.08	243.06	209.25	121.65	66.33	44.54	24.92	16.12	11.25	3.48	1.83	1.32	1.04	1.00
		MDRL	228.00	160.00	138.50	84.50	48.00	36.00	20.00	13.00	9.00	3.00	1.00	1.00	1.00	1.00
		SDRL	459.42	272.24	231.19	127.67	64.01	38.87	21.67	13.48	9.35	2.78	1.19	0.63	0.19	0.04
0.1, 2.069	0.30	ARL	373.72	313.05	303.81	207.33	131.85	81.36	46.55	30.37	21.23	7.28	3.95	2.73	2.09	2.01
		MDRL	265.50	213.00	219.50	139.50	93.00	59.00	38.00	25.00	19.00	6.00	3.00	2.00	2.00	2.00
		SDRL	405.22	325.15	300.95	227.28	122.91	76.22	39.13	22.78	14.84	4.85	2.35	1.24	0.36	0.11
	0.50	ARL	372.77	292.15	277.20	186.86	116.44	76.80	40.35	26.47	19.16	6.37	3.23	2.20	1.36	1.13
		MDRL	242.50	199.00	184.50	129.00	84.00	57.00	34.50	23.00	17.00	6.00	3.00	2.00	1.00	1.00
		SDRL	421.10	321.22	303.40	190.83	118.87	72.90	32.48	20.89	14.43	4.44	2.20	1.38	0.66	0.35
	0.70	ARL	368.36	291.14	266.67	170.19	111.43	63.57	36.22	21.48	16.13	5.39	2.86	2.01	1.34	1.11
		MDRL	239.50	194.00	180.00	116.50	80.00	50.00	31.00	19.00	14.00	5.00	2.00	2.00	1.00	1.00
		SDRL	388.46	310.09	292.56	174.63	107.95	56.54	28.78	16.11	11.85	3.85	1.88	1.12	0.52	0.31
	0.90	ARL	370.71	266.00	243.61	139.10	78.59	53.27	27.15	17.99	12.30	4.01	2.14	1.52	1.09	1.01
		MDRL	245.00	171.00	163.00	99.00	59.00	42.00	23.00	16.00	10.00	3.00	2.00	1.00	1.00	1.00
		SDRL	383.69	280.70	257.04	138.71	71.74	44.77	21.03	12.92	9.13	2.85	1.36	0.75	0.29	0.11
0.25, 2.045	0.30	ARL	372.80	344.43	325.65	261.86	168.50	121.69	63.30	39.59	24.32	7.79	4.47	3.17	2.24	2.03
		MDRL	250.00	230.00	236.00	177.50	119.00	89.50	46.00	29.00	19.00	7.00	4.00	3.00	2.00	2.00
		SDRL	380.99	347.62	312.31	267.28	160.73	118.36	57.88	34.34	18.42	4.26	2.17	1.32	0.52	0.18
	0.50	ARL	371.94	337.96	304.40	236.55	159.02	107.13	56.45	33.32	23.40	7.05	4.15	2.95	2.16	2.02
		MDRL	249.50	240.50	196.50	156.50	114.00	73.00	41.00	26.00	19.00	6.00	4.00	3.00	2.00	2.00
		SDRL	378.92	325.82	317.83	241.56	150.45	106.15	53.87	28.04	17.34	3.98	2.02	1.19	0.42	0.13
	0.70	ARL	372.26	333.52	317.06	227.03	147.74	95.56	49.19	27.66	18.95	6.12	3.62	2.60	2.07	2.00
		MDRL	247.00	232.50	207.50	153.00	99.00	70.00	36.00	21.00	16.00	6.00	3.00	2.00	2.00	2.00
		SDRL	389.33	325.75	346.54	235.50	152.82	88.01	43.38	22.61	13.86	3.41	1.69	0.87	0.29	0.04
	0.90	ARL	368.96	319.23	277.69	185.12	114.74	70.32	34.78	19.48	13.91	4.63	2.68	1.90	1.33	1.11
		MDRL	243.00	214.00	199.00	128.50	81.50	51.00	27.00	16.00	12.00	4.00	2.00	2.00	1.00	1.00
		SDRL	377.52	323.88	280.01	183.71	114.77	63.45	29.24	14.78	9.94	2.60	1.44	0.84	0.48	0.31
0.50, 2.725	0.30	ARL	370.94	333.83	350.08	292.49	225.25	175.16	94.51	58.60	37.47	9.34	4.73	3.47	2.55	2.23
		MDRL	255.00	220.00	237.00	210.50	158.00	113.00	68.50	42.00	27.00	8.00	4.00	3.00	2.00	2.00
		SDRL	363.45	345.01	342.11	276.99	238.32	183.43	87.73	54.94	33.29	6.50	2.09	1.23	0.60	0.42
	0.50	ARL	368.41	336.70	312.65	270.29	210.88	154.20	83.56	52.15	34.79	8.34	4.35	3.06	2.25	2.05
		MDRL	253.50	237.00	220.50	198.00	147.00	111.00	57.00	35.00	25.00	7.00	4.00	3.00	2.00	2.00
		SDRL	351.77	342.73	305.48	265.20	208.49	153.40	82.90	50.55	31.97	5.64	2.04	1.10	0.46	0.22
	0.70	ARL	370.94	364.34	336.00	280.24	203.91	152.09	76.83	45.71	28.22	6.93	3.83	2.84	2.16	2.02
		MDRL	246.50	273.50	234.00	193.50	144.50	102.00	54.50	35.00	21.00	6.00	4.00	3.00	2.00	2.00
		SDRL	378.51	357.52	335.50	276.70	200.57	156.78	76.09	39.61	25.80	4.37	1.58	0.90	0.39	0.15
	0.90	ARL	369.05	349.47	318.40	251.53	170.83	111.83	55.24	32.59	18.51	5.09	2.97	2.34	2.02	2.00
		MDRL	271.00	260.00	221.00	173.00	126.00	78.00	38.50	24.00	14.00	5.00	3.00	2.00	2.00	2.00
		SDRL	354.84	328.59	314.95	247.96	161.02	106.93	51.79	30.19	15.07	2.72	1.13	0.63	0.15	0.03