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The monitoring of simple linear regression profiles with two observations per sample

Author

Listed:
  • Mahmoud Mahmoud
  • J. P. Morgan
  • William Woodall

Abstract

We evaluate and compare the performance of Phase II simple linear regression profile approaches when only two observations are used to establish each profile. We propose an EWMA control chart based on average squared deviations from the in-control line, to be used in conjunction with two EWMA control charts based on the slope and Y-intercept estimators, to monitor changes in the three regression model parameters, i.e., the slope, intercept and variance. Simulations establish that the performance of the proposed technique is generally better than that of other approaches in detecting parameter shifts.

Suggested Citation

  • Mahmoud Mahmoud & J. P. Morgan & William Woodall, 2010. "The monitoring of simple linear regression profiles with two observations per sample," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(8), pages 1249-1263.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:8:p:1249-1263
    DOI: 10.1080/02664760903008995
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    Citations

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    Cited by:

    1. Lee J. Wells & Romina Dastoorian & Jaime A. Camelio, 2021. "A novel NURBS surface approach to statistically monitor manufacturing processes with point cloud data," Journal of Intelligent Manufacturing, Springer, vol. 32(2), pages 329-345, February.
    2. M.J. Ershadi & R. Noorossana & S.T.A Niaki, 2016. "Economic-statistical design of simple linear profiles with variable sampling interval," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(8), pages 1400-1418, June.

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