Paper
1 April 2010 Influence of error distribution shape on process capability analysis
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Abstract
In semiconductor manufacturing, process errors are likely to depart from normal distributions. For data violating the assumption of normality, classical process capability indices (PCIs) may be misleading in terms of the process behavior. To avoid this, we propose new PCIs with information on the skewness and the kurtosis of a given distribution. Based on a Monte Carlo simulation with various distributions, the formulae of the proposed PCIs were optimized. Compared with Johnson transformation or other approaches, our proposed method is simple in calculation. Therefore, it would have greater applicability for data analysis in semiconductor manufacturing.
© (2010) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Masafumi Asano and Takahiro Ikeda "Influence of error distribution shape on process capability analysis", Proc. SPIE 7638, Metrology, Inspection, and Process Control for Microlithography XXIV, 763827 (1 April 2010); https://doi.org/10.1117/12.846471
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Cited by 1 scholarly publication.
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KEYWORDS
Statistical analysis

Critical dimension metrology

Error analysis

Semiconductor manufacturing

Data analysis

Metrology

Process control

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