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https://prod.org.br/doi/10.1590/S0103-65132003000300005
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Procedimentos inferenciais em índices de capacidade para dados autocorrelacionados via bootstrap

Inferential procedures for capability indices in autocorrelated data by bootstrap

Ramos, Alberto W.; Ho, Linda Lee

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Resumo

Este artigo apresenta procedimentos inferenciais para construir intervalos de confiança em índices de capacidade Cp e Cpk através de técnicas de reamostragem (bootstrap) quando os dados provenientes de processos normais são autocorrelacionados.

Palavras-chave

Autocorrelação, bootstrap, índices de capacidade Cp e Cpk, séries temporais

Abstract

This paper presents procedures to build confidence intervals for capability indices Cp and Cpk based on bootstrap (resampling) methodology when data from the normal process are autocorrelated.

Keywords

Autocorrelation, bootstrap, capability index Cp and Cpk, time series

References



AMERICAN SOCIETY FOR QUALITY CONTROL Statistical process control manual. Milwaukee, ASQC, 1986.

BISSELL, A. F. How reliable is your capability index? Applied Statistics, London, v. 39, n. 3, p. 331-40, 1990.

BOX, G. E. P.; HUNTER, W. G.; HUNTER, J. S. Statistics for experimenters. New York: Wiley, 1978.

BOX, G. E. P.; JENKINS, G. M.; REINSEL, G. C. Time series analysis, forecasting and control. 3 ed. Englewood Cliffs: Prentice Hall, 1994.

CHENG, S. W. Practical implementation of the process capability indices. Quality Engineering, Monticello, v.7, n.2, p.239-59, 1994.

CONSTABLE, G. K.; YEN, V. Autocorrelation and control. In: ASQC QUALITY CONGRESS TRANSACTIONS, 45th, Milwaukee, 1991. Proceedings. Milwaukee, ASQC, p.375-82, 1991.

CRYER, J. D.; RYAN, T. P. The estimation of sigma for an x chart: MR-bar/d2 or s/c4? Journal of Quality Technology, Milwaukee, v.22, n.3, p.187-92, 1990.

EFRON, B. Bootstrap methods: another look at the jacknife. The Annals of Statistics, Hayward, v.7, n.1, p.1-26, 1979.

EFRON, B.; TIBSHIRANI, R. Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Statistical Science, Hayward, v.1, n.1, p. 54-77, 1986.

EFRON, B.; TIBSHIRANI, R. An introduction to the bootstrap. New York, Chapman & Hall, 1993.

FRANKLIN, L. A.; WASSERMAN. G. S. Bootstrap lower confidence limits for capability indices. Journal of Quality Technology, Milwaukee, v. 24, n. 4, p. 196-210, 1992.

KOTZ, S.; JOHNSON, N. L. Process capability indices. London: Chapman & Hall, 1993.

KOTZ, S.; LOVELACE, C. R. Process Capability indices in theory and practice, London, Arnold, 1998.

LEVINSON, W.A. Exact confidence limits for process capabilities. Quality Engineering, Monticello, vol. 9, n. 3, p. 521-8, 1997a.

LEVINSON, W. A. Approximate confidence limits for Cpk and confidence limits for non-normal process capabilities. Quality Engineering, Monticello, vol. 9, n. 4, p. 635-40, 1997b.

MINITAB, INC. Minitab statistical software, version 12. Pennsylvania, Minitab, s.d.

MONTGOMERY, D. C. Introduction to statistical quality control. 3 ed. New York: Wiley, 1996

MONTGOMERY, D. C.; RUNGER, G. C. Statistical process control for the chemical and process industries. Kirkland, Statistical Productivity, 1994.

NETO, A. C.; SOUZA, R. C. A bootstrap simulation in ARMA (p, q) structures. J. of Forecasting, vol. 15, n. 4, p. 343-353.

PYZDEK, T. Pyzdek's guide to SPC. Milwaukee, ASQC Quality, v. 2, 1992.

RESAMPLING STATS Resampling stats software, version 4. Arlington, Resampling Stats, 1997.

RODRIGUEZ, R. N. Recent developments in process capability analysis. Journal of Quality Technology, Milwaukee, v. 24, n. 2, p. 176-87, 1992.

SCHNEIDER, H.; PRUETT, J. M. Control charting issues in the process industries. Quality Engineering, Monticello, v. 6, n. 2, p. 347-73, 1994.

SHORE, H. Process capability analysis when data are autocorrelated. Quality Engineering, Monticello, v. 9, n. 4, p. 615-26, 1997.

SIMON, J. L.; ATKINSON, D. T.; SHEVOKAS, C. Probability and Statistics: Experimental results of a radical different teaching method. The American Mathematical Monthly, Washington, v. 83, n. 9, p. 733-9, 1976.

WOODALL, W. H.; FALTIN, F. W. Autocorrelated data and SPC. ASQC Statistics Division Newsletter, Milwaukee, v. 13, n. 4, p. 18-21, 1994.

ZHANG, N.F. Estimating process capability indices for autocorrelated processes. Proceedings of the Section on Quality and Productivity, Alexandria, p. 49-54, 1996.



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