00171 Pa976b138894f731d334f025f1e0079

172

McWiiliams

Table 3B. Control Chart Parameters and Moments of T_0-ł for X -Chart Examples

Control Chart    Distribution of T_out

Parameters

Example Source	Constraint	• n	R* h*	PO.95	Pout	CTout
6 Duncan (1956)	Nonę	45	2.02 37.61	60.03	25.75	16.58
Ex. 24	PO.95^50	49	2.04 35.00	49.98	23.24	14.36
	Po.95^40	52	2.04 32.00	39.75	20.85	12.44
	Po.95^30	57	2.05 26.90	29.88	17.24	9.77
	PO.95^20	61	2.10 17.14	19.99	11.45	6.14
	Po.95^10	68	2.15 6.78	9.99	5.60	2.64
7 Gibra(1971)	Nonę	5	2.89 0.66	1.48	0.772	0.38
Ex. 2	po 95^1-10	5	2.82 0.43	1.25	0.638	0.33
(with additional costs)	po 95^ 1.25	5	2.79 0.25	1.10	0.537	0.30
8 Gibra (1971)	Po.95^1.25	6	2.92 0.47	1.25	0.65	0.32
Ex. 2	po.95^1.25	5	2.78 0.36	1.19	0.60	0.31
9 Gibra (1971)	Po.95^5	12	1.99 2.34	4.99	2.39	1.38
Ex. 4	P095^5	10	2.06 1.67	4.66	2.12	1.32
		Moments: Components of Tout
Example Source	..........Pa.............	en	........B...............	02	B.............	Oj
6 Duncan (1956)	19.98	10.82	3.77	12.49	2.00	1.41
Ex. 24	18.52	10.07	2.72	10.13	2.00	1.41
	16.85	9.21	2.00	8.24	2.00	1.41
	14.05	7.75	1.19	5.78	2.00	1.41
	8.82	4.95	0.63	3.35	2.00	1.41
	3.43	1.95	0.17	1.08	2.00	1.41
7 Gibra (1971)	0.33	0.19	0.04	0.17	0.40	0.283
Ex. 2	0.22	0.13	0.02	0.10	0.40	0.283
(with additional costs)	0.13	0.09	0.01	0.06	0.40	0.283
8 Gibra (1971)	0.24	0.14	0.01	0.07	0.40	0.28
Ex. 2	0.18	0.10	0.02	0.08	0.40	0.28
9 Gibra (1971)	1.22	0.68	0.68	0.67	1.00	1.00
Ex. 4	0.86	0.48	0.48	0.71	1.00	1.00