A synthetic control chart for the coefficient of variation

The coefficient of variation (CV) control chart has recently been introduced in the literature. Here, the salient features of this chart and the conforming run length chart are integrated to produce a synthetic coefficient of variation (SynCV) chart. The run length profile of the SynCV chart is numerically compared with the originally proposed chart and the upward EWMA-γ2 chart. The SynCV chart outperforms the original CV chart, while the EWMA-γ2 outperforms the SynCV chart for small increases in the CV. However, for large increases in the CV, the SynCV chart outperforms the EWMA-γ2 chart.

[1]  H.-J. Huang,et al.  A synthetic control chart for monitoring process dispersion with sample range , 2005 .

[2]  Boris Iglewicz,et al.  Comparisons of Approximations to the Percentage Points of the Sample Coeffcient of Variation , 1970 .

[3]  H. J. Huang,et al.  A synthetic control chart for monitoring process dispersion with sample standard deviation , 2005, Comput. Ind. Eng..

[4]  Marion R. Reynolds,et al.  Should Observations Be Grouped for Effective Process Monitoring? , 2004 .

[5]  William H. Woodall,et al.  Evaluating and Improving the Synthetic Control Chart , 2002 .

[6]  Giovanni Celano,et al.  Monitoring the Coefficient of Variation Using EWMA Charts , 2011 .

[7]  Philippe Castagliola,et al.  A synthetic double sampling control chart for the process mean , 2010 .

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

[9]  Trevor A Spedding,et al.  A Synthetic Control Chart for Detecting Small Shifts in the Process Mean , 2000 .

[10]  Maria E. Calzada,et al.  THE ROBUSTNESS OF THE SYNTHETIC CONTROL CHART TO NON-NORMALITY , 2001 .

[11]  N. L. Johnson,et al.  APPLICATIONS OF THE NON-CENTRAL t-DISTRIBUTION , 1940 .

[12]  W. T. Federer,et al.  Some Properties of the Coefficient of Variation and F Statistics with Respect to Transformations of the Form X [k] , 1963 .

[13]  Raymond H. Myers,et al.  On the percentage points of the sample coefficient of variation , 1968 .

[14]  Francisco Aparisi,et al.  The Design and Performance of the Multivariate Synthetic-T 2 Control Chart , 2009 .

[15]  Trevor A Spedding,et al.  A Synthetic Control Chart for Detecting Fraction Nonconforming Increases , 2001 .

[16]  Zhang Wu,et al.  Implementing Synthetic Control Charts for Attributes , 2001 .

[17]  Eugenio K. Epprecht,et al.  Synthetic control chart for monitoring the pprocess mean and variance , 2006 .

[18]  Giovanni Celano Robust design of adaptive control charts for manual manufacturing/inspection workstations , 2009 .

[19]  Zhang Wu,et al.  Optimization design of control charts based on Taguchi's loss function and random process shifts , 2004 .

[20]  Philippe Castagliola,et al.  A combined synthetic&X chart for monitoring the process mean , 2010 .

[21]  Douglas M. Hawkins,et al.  A Control Chart for the Coefficient of Variation , 2007 .

[22]  Marion R. Reynolds,et al.  Control Charts and the Efficient Allocation of Sampling Resources , 2004, Technometrics.

[23]  Steve Verrill Confidence bounds for normal and lognormal distribution coefficients of variation , 2003 .

[24]  Philippe Castagliola,et al.  What are the best sample sizes for the Xbar and CUSUM charts , 2011 .

[25]  Maria E. Calzada,et al.  The Generalized Synthetic Chart , 2009 .

[26]  Ulrich Menzefricke,et al.  Control Charts for the Variance and Coefficient of Variation Based on Their Predictive Distribution , 2010 .

[27]  Philippe Castagliola,et al.  The synthetic [Xbar] chart with estimated parameters , 2011 .

[28]  Eui-Pyo Hong,et al.  Development of CV Control Chart Using EWMA Technique , 2008 .

[29]  Mei Yang,et al.  Optimization designs of the combined Shewhart-CUSUM control charts , 2008, Comput. Stat. Data Anal..

[30]  Zhang Wu,et al.  A Multivariate Synthetic Control Chart for Monitoring the Process Mean Vector of Skewed Populations Using Weighted Standard Deviations , 2009, Commun. Stat. Simul. Comput..