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Estimation in X-bar control charts: effects and corrections

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Abstract

This paper presents an approach for improving the control limits of \( \overline{X} \) control charts when the parameters of the process are estimated and the control chart is in operation. In these conditions, the observed average run length (ARL) may be very different from the planned ARL since the parameter estimates may have a larger error. To minimize this problem, the data collected in effective control (phase 2) will be used to re-estimate the parameters with a precision greater than that obtained in phase 1. Thus, we defined a minimum sample size of observations of phase 2, which is constituted of a mixture of two normal distributions that should be used to re-estimate the process parameters. The proposal is illustrated with numerical example.

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Authors and Affiliations

  1. Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, Brazil

    Roberto da Costa Quinino & Anderson Laécio Galindo Trindade

  2. Universidade de São Paulo, São Paulo, São Paulo, Brazil

    Linda Lee Ho

Authors
  1. Roberto da Costa Quinino
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  2. Linda Lee Ho
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  3. Anderson Laécio Galindo Trindade
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Correspondence to Linda Lee Ho.

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da Costa Quinino, R., Lee Ho, L. & Trindade, A.L.G. Estimation in X-bar control charts: effects and corrections. Int J Adv Manuf Technol 72, 101–106 (2014). https://doi.org/10.1007/s00170-013-5605-6

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  • DOI: https://doi.org/10.1007/s00170-013-5605-6

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