An enhanced nonparametric EWMA sign control chart using sequential mechanism

Control charts play a significant role to monitor the performance of a process. Nonparametric control charts are helpful when the probability model of the process output is not known. In such cases, the sampling mechanism becomes very important for picking a suitable sample for process monitoring. This study proposes a nonparametric arcsine exponentially weighted moving average sign chart by using an efficient scheme, namely, sequential sampling scheme. The proposal intends to enhance the detection ability of the arcsine exponentially weighted moving average sign chart, particularly for the detection of small shifts. The performance of the proposal is assessed, and compared with its counterparts, by using some popular run length properties including average, median and standard deviation run lengths. The proposed chart shows efficient shift detection ability as compared to the other charts, considered in this study. A real-life application based on the smartphone accelerometer data-set, for the implementation of the proposed scheme, is also presented.

[1]  Amitava Mukherjee,et al.  Optimal design of Shewhart-Lepage type schemes and its application in monitoring service quality , 2018, Eur. J. Oper. Res..

[2]  Muhammad Riaz,et al.  Mixed Tukey EWMA-CUSUM control chart and its applications , 2017 .

[3]  Amer Ibrahim Al-Omari,et al.  REVIEW OF RANKED SET SAMPLING: MODIFICATIONS AND APPLICATIONS , 2014 .

[4]  P. Croasdale,et al.  Control Charts for a Double-Sampling Scheme Based on Average Production Run Lengths , 1974 .

[5]  Fred Spiring,et al.  Introduction to Statistical Quality Control , 2007, Technometrics.

[6]  Ioannis S. Triantafyllou,et al.  Nonparametric control charts based on order statistics: Some advances , 2018, Commun. Stat. Simul. Comput..

[7]  Amitava Mukherjee,et al.  A distribution-free Phase I monitoring scheme for subgroup location and scale based on the multi-sample Lepage statistic , 2019, Comput. Ind. Eng..

[8]  R. A. Ion,et al.  Nonparametric statistical process control , 2001 .

[9]  Smiley W. Cheng,et al.  A new nonparametric EWMA Sign Control Chart , 2011, Expert Syst. Appl..

[10]  Ming Ha Lee,et al.  A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean , 2015, PloS one.

[11]  Liu Liu,et al.  Multivariate nonparametric control chart with variable sampling interval , 2017 .

[12]  Subha Chakraborti,et al.  Nonparametric signed‐rank control charts with variable sampling intervals , 2017, Qual. Reliab. Eng. Int..

[13]  A. R. Crathorne,et al.  Economic Control of Quality of Manufactured Product. , 1933 .

[14]  Gutti Jogesh Babu,et al.  Sign test for ranked-set sampling , 1996 .

[15]  Saddam Akber Abbasi,et al.  A new nonparametric EWMA sign control chart , 2012, Expert Syst. Appl..

[16]  John N. Dyer Monte Carlo Simulation Design for Evaluating Normal-Based Control Chart Properties , 2016 .

[17]  Jennifer Brown,et al.  New Synthetic EWMA and Synthetic CUSUM Control Charts for Monitoring the Process Mean , 2016, Qual. Reliab. Eng. Int..

[18]  Peihua Qiu,et al.  Some perspectives on nonparametric statistical process control , 2018 .

[19]  Smiley W. Cheng,et al.  A new non‐parametric CUSUM mean chart , 2011, Qual. Reliab. Eng. Int..

[20]  Muhammad Azam,et al.  A mixed repetitive sampling plan based on process capability index , 2013 .

[21]  I. Triantafyllou A new distribution-free control scheme based on order statistics , 2018, Journal of Nonparametric Statistics.

[22]  S. Chakraborti,et al.  Nonparametric Control Charts: An Overview and Some Results , 2001 .

[23]  Muhammad Azam,et al.  A new exponentially weighted moving average sign chart using repetitive sampling , 2014 .

[24]  Muhammad Riaz,et al.  On designing a new cumulative sum Wilcoxon signed rank chart for monitoring process location , 2018, PloS one.

[25]  E. S. Page CONTINUOUS INSPECTION SCHEMES , 1954 .

[26]  Chi-Hyuck Jun,et al.  Repetitive group sampling procedure for variables inspection , 2006 .

[27]  S. W. Roberts,et al.  Control Chart Tests Based on Geometric Moving Averages , 2000, Technometrics.

[28]  Markos V. Koutras,et al.  A general class of nonparametric control charts , 2018, Qual. Reliab. Eng. Int..