Critical analysis of the acceptance criteria used in measurement systems evaluation | International Journal of Metrology and Quality Engineering (IJMQE)

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Table 4

Probability of incorrect inspections − MSA criteria.

Cpk	Decentralization of manufacturing process (μm)	σ_mpp (μm)	Bias (μm)	%GRR	σ_mp (μm)	False alarm	Error
0.67	0	5	0	10	0.3333	0.0031	0.0026
1.00		3.3333				0.0004	0.0003
1.33		2.5				0	0
1.67		2				0	0
0.67	3.3333	3.3333				0.0024	0.0019
1.00	2.5	2.5				0.0003	0.0002
1.33	2	2				0	0
1.67	1.6667	1.6667				0	0

0.67	0	5	0	30	1	0.0106	0.0063
1.00		3.3333				0.0015	0.0004
1.33		2.5				0	0
1.67		2				0	0
0.67	3.3333	3.3333				0.0086	0.0038
1.00	2.5	2.5				0.0010	0.0002
1.33	2	2				0	0
1.67	1.6667	1.6667				0	0

False alarm: an item rejected as non-conforming may actually be conforming and Error: an item accepted as conforming may actually be non-conforming.

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