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

Authors :
Mahmoud A. Mahmoud
J. P. Morgan
William H. Woodall
Source :
Journal of Applied Statistics. 37:1249-1263
Publication Year :
2010
Publisher :
Informa UK Limited, 2010.

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.

Details

ISSN :
13600532 and 02664763
Volume :
37
Database :
OpenAIRE
Journal :
Journal of Applied Statistics
Accession number :
edsair.doi...........2992077028e4042793ae66fb8c2297ea
Full Text :
https://doi.org/10.1080/02664760903008995