Robustness of the Mean Chart to Non-Normality and Measurement Error

Singh J.R.¹ , Singh D.P.²

Section:Research Paper, Product Type: Isroset-Journal
Vol.1 , Issue.5 , pp.1-12, Oct-2014

Online published on Sep 22, 2014

Copyright © Singh J.R. , Singh D.P. . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we discussed the robustness of the mean chart to non-normality and measurement error with known cv. It is seen that many areas of statistical application can easily lead to quite non-normal distribution as well as erroneous observation. The joint effect of non-normality and measurement error on the OC and type-I error has been investigated. The non-normal distribution has been represented by the first four terms of an Edgeworth series visual comparison shows that the effect of non-normality and measurement error is serious on the OC function and type-I error.

Key-Words / Index Term :
Mean Chart, OC function, type-I error, non-normality, Measurement error

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