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My Reading on ASQ CQA HB Part V Part 2

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<strong>Part</strong> VD2<br />

Process capability index.<br />

In process improvement efforts, the process capability index or process capability ratio is a statistical measure<br />

of process capability: the ability of a process to produce output within specificati<strong>on</strong> limits. The c<strong>on</strong>cept of<br />

process capability <strong>on</strong>ly holds meaning for processes that are in a state of statistical c<strong>on</strong>trol. Process capability<br />

indices measure how much "natural variati<strong>on</strong>" a process experiences relative to its specificati<strong>on</strong> limits and<br />

allows different processes to be compared with respect to how well an organizati<strong>on</strong> c<strong>on</strong>trols them.<br />

If the upper and lower specificati<strong>on</strong> limits of the process are USL and LSL, the target process mean is T, the<br />

estimated mean of the process is μ and the estimated variability of the process (expressed as a standard<br />

deviati<strong>on</strong>) is σ, then comm<strong>on</strong>ly accepted process capability indices include:<br />

C pk<br />

Adjusted Sigma<br />

level (σ)<br />

Area under the Ф<br />

(σ)<br />

Process yield<br />

0.33 1 0.3085375387 30.85% 691462<br />

0.67 2 0.6914624613 69.15% 308538<br />

1.00 3 0.9331927987 93.32% 66807<br />

1.33 4 0.9937903347 99.38% 6209<br />

1.67 5 0.9997673709 99.9767% 232.6<br />

2.00 6 0.9999966023 99.99966% 3.40<br />

DPMO : defects per milli<strong>on</strong> opportunities or (or n<strong>on</strong>c<strong>on</strong>formities per milli<strong>on</strong> opportunities (NPMO)<br />

Process fallout<br />

(in terms of DPMO/PPM)<br />

https://en.wikipedia.org/wiki/Process_capability_index<br />

Charlie Ch<strong>on</strong>g/ Fi<strong>on</strong> Zhang

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