Statistical Development of the -Control Chart for Extreme Data with an Application to the Carbon Fiber Industry

Table 1

Pairs of values and at given and .

Sample size	False signal probability
	0.005				0.0027
	1	0.122	2.184	0.133	2.371	0.099	2.283	0.108	2.477
2	0.296	1.837	0.309	1.915	0.265	1.903	0.277	1.984
3	0.401	1.682	0.413	1.729	0.371	1.735	0.382	1.784
4	0.471	1.589	0.481	1.623	0.442	1.635	0.452	1.669
5	0.521	1.526	0.529	1.552	0.494	1.566	0.502	1.593
6	0.559	1.479	0.567	1.500	0.534	1.516	0.541	1.537
7	0.589	1.443	0.596	1.461	0.565	1.477	0.572	1.494
8	0.614	1.415	0.620	1.429	0.591	1.445	0.597	1.461
9	0.635	1.390	0.641	1.403	0.613	1.419	0.618	1.433
10	0.652	1.370	0.658	1.381	0.631	1.397	0.636	1.409
11	0.668	1.352	0.673	1.363	0.647	1.379	0.652	1.389
12	0.681	1.337	0.686	1.347	0.662	1.362	0.666	1.372