Designing a control chart of extended EWMA statistic based on multiple dependent state sampling |
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| Authors: | Muhammad Naveed Muhammad Azam Nasrullah Khan Muhammad Aslam |
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| Institution: | aDepartment of Statistics, National College of Business Administration and Economics, Lahore, Pakistan;bDepartment of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore, Pakistan;cDepartment of Statistics, College of Veterinary and Animal Sciences (Jhang Campus), Jhang, Pakistan;dDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | In this paper, we presented a memory type control chart (CC) based on multiple dependent state (MDS) sampling to pinpoint the slight variation in the process mean for the quality trait of normal distribution (ND). Two pairs of control limits denominated as internal and external control limits are derived using under control mean and variance. The essential steps are taken to get the value of average run length (ARL) for stable and disturb process. Various tables of ARLs are erected using different smoothing constants, shifts and MDS parameter. Comparisons are established to assess the effectiveness of initiated CC with the various existing CC in term of ARL. It has been ascertained that offered CC manifest the best performance in searching out the diminutive changes in the process mean. Two examples, one is based on simulation study and other is related to real-life data, have been discussed for its practical purpose.KEYWORDS: Multiple dependent state, normal distribution, smoothing constants, control chart |
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