A Nonparametric Repetitive Sampling DEWMA Control Chart Based on Linear Prediction

Distribution-free control charts can be useful in statistical process control (SPC) when only limited or no information about the distribution of the data of the process is available. In this paper, a linear prediction related double exponentially weighted moving average (DEWMA) sign control chart using a repetitive sampling scheme (RSNPDEBLP) has been considered for a binomially distributed process variable to improve the efficiency of detecting small drifts in its place of small changes. The proposed RSNPDEBLP control chart is assessed in average run length (ARL) for the various values of sample sizes. The efficiency of the proposed RSNPDEBLP control chart is compared with the existing EWMA and DEWMA sign control charts using single sampling and repetitive sampling schemes in terms of ARLs. When there are small changes in the process after the stabilization period, the proposed control chart is used to control small trends rather than small shifts.

[1]  M. Aslam,et al.  EWMA and DEWMA repetitive control charts under non-normal processes , 2020, Journal of applied statistics.

[2]  William H. Woodall,et al.  The Use of Control Charts in Health-Care and Public-Health Surveillance , 2006 .

[3]  Saddam Akber Abbasi,et al.  On the Performance of EWMA Chart in the Presence of Two-Component Measurement Error , 2010 .

[4]  C. Jun,et al.  Design of a sign chart using a new EWMA statistic , 2020, Communications in Statistics - Theory and Methods.

[5]  Saad Alkahtani,et al.  A Double Multivariate Exponentially Weighted Moving Average (dMEWMA) Control Chart for a Process Location Monitoring , 2012, Commun. Stat. Simul. Comput..

[6]  P. Masson,et al.  Quality control techniques for routine analysis with liquid chromatography in laboratories. , 2007, Journal of chromatography. A.

[7]  William H. Woodall,et al.  An Evaluation of the Double Exponentially Weighted Moving Average Control Chart , 2010, Commun. Stat. Simul. Comput..

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

[9]  Sheue-Ling Hwang,et al.  Application control chart concepts of designing a pre-alarm system in the nuclear power plant control room , 2008 .

[10]  Ziren Wang,et al.  Discuss on Applying SPC to Quality Management in University Education , 2008, 2008 The 9th International Conference for Young Computer Scientists.

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

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

[14]  Frederick Mosteller,et al.  Tables of the Freeman-Tukey Transformations for the Binomial and Poisson Distributions , 1961 .

[15]  Roger M. Sauter,et al.  Introduction to Statistical Quality Control (2nd ed.) , 1992 .

[16]  James M. Lucas,et al.  Exponentially weighted moving average control schemes with variable sampling intervals , 1992 .

[17]  Klaus Schrape,et al.  The business of forecasting , 2001 .

[18]  K. Govindaraju,et al.  Poisson DEWMA Control Chart , 2003 .

[19]  Muhammad Azam,et al.  Designing of a new monitoring t-chart using repetitive sampling , 2014, Inf. Sci..

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

[21]  Zhang Wu,et al.  Monitoring Process Mean and Variability with One Double EWMA Chart , 2010 .

[22]  Muhammad Azam,et al.  Designing of a hybrid exponentially weighted moving average control chart using repetitive sampling , 2015 .

[23]  Chi-Hyuck Jun,et al.  Designing of X-bar control charts based on process capability index using repetitive sampling , 2014 .

[24]  Sven Knoth.  More on Control Charting Under Drift , 2012 .

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

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

[27]  Barbara Pfeffer,et al.  Smoothing Forecasting And Prediction Of Discrete Time Series , 2016 .

[28]  R. Meyer,et al.  The Fundamental Theorem of Exponential Smoothing , 1961 .

[29]  Gemai Chen,et al.  An Extended EWMA Mean Chart , 2005 .

[30]  Chi-Hyuck Jun,et al.  A new S2 control chart using repetitive sampling , 2015 .

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

[32]  Muhammad Aslam,et al.  Control Chart for Variance Using Repetitive Sampling Under Neutrosophic Statistical Interval System , 2019, IEEE Access.

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

[34]  Robert E. Sherman,et al.  Design and Evaluation of a Repetitive Group Sampling Plan , 1965 .

[35]  Saad Saeed Alkahtani.  Robustness of DEWMA versus EWMA Control Charts to Non-Normal Processes , 2013 .

[36]  Muhammad Riaza,et al.  Nonparametric Double EWMA Control Chart for Process Monitoring , 2016 .