Contrast between Shewhart for MR and Cusum Variance control chart in the monitoring of hydrogen potential in plant protectors
Keywords:
Average run length, reference value, shift, target value, variance
Abstract
One of the most significant aspects to improve the quality of the processes is to avoid the increase of the variability, so it is important the continuous monitoring of the quality feature, which allows to know its condition and behavior over time. One of the main tools is Control Charts. Hawkins creates a method for monitoring process variability using the CUSUM Control Charts. This paper shows its application in the measure of variability of the pH values in the use of fungicides; as well as the results on their performance compared to the Shewhart Control Chart, which is not as effective at detecting small shifts.
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References
[1] A.D. Karaoglan, y G.M. Bayhan, “ARL performance of residual control charts for trend AR (1) process: A case study on peroxide values of stored vegetable oil,” Scientific Research and Essays, vol. 7 no.13, pp. 1405-1414, 9 abril 2012.
[2] D.M, Hawkins, “A CUSUM for a scale parameter,” Journal of Quality Technology, vol. 13, no. 4, pp. 228-231, 1981.
[3] D.M, Hawkins, “Cumulative Sum Control Charting: An Underutilized SPC Tool,” Quality Engineering, vol. 15, no. 3, pp. 463-477, 1993.
[4] V.V Koshti, “Cumulative sum control chart”, International Journal of Physics and Mathematical Sciences, vol. 1, no. 1, pp. 28-32, octubre-diciembre 2013.
[5] O.L Davies, and P.L Goldsmith, “Statistical methods in reaserch and production,” John Wiley & Sons, London, May. 1986.
[6] O. L. Davies y P. Royston, “The hidden effects of time,” Statistics in Medicine. vol. 7, no. 6, pp. 629-637, junio 1988.
[7] R. J. Herrera, A.A. Mendoza y T. Fontalvo, “Comparación de las Cartas de Control Univariadas con Transformación en la Medida de Variabilidad,” INGENIARE, vol. 13, pp. 51-57, octubre 2012.
[8] E.C. Villanueva, “Carta de control No-paramétrica de punto de cambio para varianza,” Tesis M.Sc., Facultad
Ciencias Físico-matemáticas, Univ. Autónoma de Nuevo León, Monterrey, 2013.
[9] D.C. Montgomery, “Control estadístico de la calidad,” Limusa, 3a Edición, ciudad de México, México, pp. 406-424, 1995.
[10] W. Zhang, y M. Yang, “A CUSUM chart using absolute sample values to monitor process mean and variance,” Industrial Engineering and Engineering Management, IEEE conference, 2009.
[11] R. J. Herrera, “Seis Sigma Métodos Estadísticos y sus Aplicaciones,” Ecoe Ediciones, pp. 56. 2006.
[12] FRAC (Fungicide resistance action committee), “Clasificación de fungicidas,” 2016. [En línea]. Disponible en: https://www.queaplico.com/biblioteca?id=7
[13] M.T. McGrath, “¿Qué son los fungicidas?,” The Plant Health Instructor. Trans. L. Santamaría, J.C Ureta, Cornell University. 2014. [En línea]. Disponible en: http://www.apsnet.org/EDCENTER/INTROPP/TOPICS/Pages/fungicidesSpanish.aspx
[14] J. Melgarejo y F. Abella, “Mecanismo de acción de los fungicidas,” Revista Ventana al Campo, pp. 193-202. 2011.
[15] I. Martínez y M. Guzmán, “Guía básica para la preparación de mezclas, uso de fungicidas y calibración de motobombas utilizadas en el combate de la Sigatoka negra,” Dirección de Investigaciones Sección de Fitopatología, no. 3, febrero 2011.
[16] W. K. Hock, “Effect of pH on pesticide stability and efficacy,” Pesticide Safety Education Program (PSEP). 2012. [En línea]. Cornell University. Disponible en: http://psep.cce.cornell.edu/facts-slides-self/facts/gen-peapp-ph.aspx.
[17] C. Acosta, J. Mejía, J. Pignatello, and V. Reo, “A comparation of control charting procedures for monitoring process dispersion,” IIE Transactions, vol. 31, pp. 569-579, 1999.
[18] E.S. Page, “Controlling the standard deviation by CUSUM and warning lines,” Technometrics, vol. 5 pp. 307, 1963.
[19] J.P. Lorente, “Mejora en los procesos de control de aplicaciones de agroquímicos a campo,” Técnica Agropecuaria, Cámara Uruguaya de Servicios Agropecuarios Congreso 100 años AIA, pp. 14-15, 2012
[2] D.M, Hawkins, “A CUSUM for a scale parameter,” Journal of Quality Technology, vol. 13, no. 4, pp. 228-231, 1981.
[3] D.M, Hawkins, “Cumulative Sum Control Charting: An Underutilized SPC Tool,” Quality Engineering, vol. 15, no. 3, pp. 463-477, 1993.
[4] V.V Koshti, “Cumulative sum control chart”, International Journal of Physics and Mathematical Sciences, vol. 1, no. 1, pp. 28-32, octubre-diciembre 2013.
[5] O.L Davies, and P.L Goldsmith, “Statistical methods in reaserch and production,” John Wiley & Sons, London, May. 1986.
[6] O. L. Davies y P. Royston, “The hidden effects of time,” Statistics in Medicine. vol. 7, no. 6, pp. 629-637, junio 1988.
[7] R. J. Herrera, A.A. Mendoza y T. Fontalvo, “Comparación de las Cartas de Control Univariadas con Transformación en la Medida de Variabilidad,” INGENIARE, vol. 13, pp. 51-57, octubre 2012.
[8] E.C. Villanueva, “Carta de control No-paramétrica de punto de cambio para varianza,” Tesis M.Sc., Facultad
Ciencias Físico-matemáticas, Univ. Autónoma de Nuevo León, Monterrey, 2013.
[9] D.C. Montgomery, “Control estadístico de la calidad,” Limusa, 3a Edición, ciudad de México, México, pp. 406-424, 1995.
[10] W. Zhang, y M. Yang, “A CUSUM chart using absolute sample values to monitor process mean and variance,” Industrial Engineering and Engineering Management, IEEE conference, 2009.
[11] R. J. Herrera, “Seis Sigma Métodos Estadísticos y sus Aplicaciones,” Ecoe Ediciones, pp. 56. 2006.
[12] FRAC (Fungicide resistance action committee), “Clasificación de fungicidas,” 2016. [En línea]. Disponible en: https://www.queaplico.com/biblioteca?id=7
[13] M.T. McGrath, “¿Qué son los fungicidas?,” The Plant Health Instructor. Trans. L. Santamaría, J.C Ureta, Cornell University. 2014. [En línea]. Disponible en: http://www.apsnet.org/EDCENTER/INTROPP/TOPICS/Pages/fungicidesSpanish.aspx
[14] J. Melgarejo y F. Abella, “Mecanismo de acción de los fungicidas,” Revista Ventana al Campo, pp. 193-202. 2011.
[15] I. Martínez y M. Guzmán, “Guía básica para la preparación de mezclas, uso de fungicidas y calibración de motobombas utilizadas en el combate de la Sigatoka negra,” Dirección de Investigaciones Sección de Fitopatología, no. 3, febrero 2011.
[16] W. K. Hock, “Effect of pH on pesticide stability and efficacy,” Pesticide Safety Education Program (PSEP). 2012. [En línea]. Cornell University. Disponible en: http://psep.cce.cornell.edu/facts-slides-self/facts/gen-peapp-ph.aspx.
[17] C. Acosta, J. Mejía, J. Pignatello, and V. Reo, “A comparation of control charting procedures for monitoring process dispersion,” IIE Transactions, vol. 31, pp. 569-579, 1999.
[18] E.S. Page, “Controlling the standard deviation by CUSUM and warning lines,” Technometrics, vol. 5 pp. 307, 1963.
[19] J.P. Lorente, “Mejora en los procesos de control de aplicaciones de agroquímicos a campo,” Técnica Agropecuaria, Cámara Uruguaya de Servicios Agropecuarios Congreso 100 años AIA, pp. 14-15, 2012
Published
2018-12-07
How to Cite
Herrera-Acosta, R., Wasinski-Zuñiga, R., & Romero-Cabrera, I. (2018). Contrast between Shewhart for MR and Cusum Variance control chart in the monitoring of hydrogen potential in plant protectors. ITECKNE, 15(2), 88-98. https://doi.org/https://doi.org/10.15332/iteckne.v15i2.2070
Issue
Section
Research and Innovation Articles
