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Analysis of ordered categorical data to develop control charts for monitoring customer loyalty. (English) Zbl 1226.91032
Summary: In the highly competitive business environment of today, the cost to attract new customers is much higher than the cost required to maintain the existing ones. To keep the balance between the acquisition rate and defection rate through executing offensive and defensive marketing policies, it is required to have real time information using an efficient method to monitor customer loyalty. The relationship between customer loyalty and customer satisfaction should be kept in mind when one develops a method for loyalty monitoring. This paper presents several control charts classified in two groups based on the scale used to assess customer loyalty. In the first group of control charts, customer loyalty is considered as a binary random variable modeled by Bernoulli distribution whilst in the second group, an ordinal scale is considered to report loyalty level. Performance comparison of the proposed techniques using ARL criterion indicates that chi-square and likelihood-ratio control charts developed based on Pearson chi-square statistic and ordinal logistic regression model respectively are able to rapidly detect the significant changes in loyalty behavior. To show how to apply the procedures and how to interpret their results, two illustrative synthetic cases are also explained.

MSC:
91B42 Consumer behavior, demand theory
62P20 Applications of statistics to economics
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References:
[1] Reichheld, The Loyalty Effect: The Hidden Force behind Growth, Profits and Lasting Value (1996)
[2] Goodman J Newman S 2003
[3] Fornell, The American customer satisfaction index: nature, purpose, findings, Journal of Marketing 60 (4) pp 7– (1996)
[4] Gryna, Juran’s Quality Handbook (1999)
[5] Jones TO Sasser Jr WE Satisfied customers defect 1995 88 99
[6] Montgomery, Introduction to Statistical Quality Control (2005)
[7] Jiang, A statistical process control approach to business activity monitoring, IIE Transactions 39 pp 235– (2007)
[8] Raz, On the construction of control charts using linguistic variables, International Journal of Production Research 28 pp 477– (1990)
[9] Raz, Probabilistic and membership approaches in the construction of control charts for linguistic data, Production Planning and Control 1 pp 147– (1990)
[10] Kanagawa, Control charts for process average and variability based on linguistic data, International Journal of Production Research 2 pp 913– (1993) · Zbl 0769.62076
[11] Taleb, On fuzzy and probabilistic control charts, International Journal of Production Research 40 (12) pp 2849– (2002)
[12] Franceschini, Ordered samples control charts for ordinal variables, Quality and Reliability Engineering International 21 pp 177– (2005)
[13] Woodall, Frontiers in Statistical Quality Control 5 pp 83– (1997) · doi:10.1007/978-3-642-59239-3_7
[14] Kumar, Building and sustaining profitable customer loyalty for the 21st century, Journal of Retailing 80 pp 317– (2004)
[15] Pettersson, SPC with applications to churn management, Quality and Reliability Engineering International 20 pp 397– (2004)
[16] Qiany, Churn detection via customer profile modeling, International Journal of Production Research 44 (14) pp 2913– (2006)
[17] Buckinx, Predicting customer loyalty using the internal transactional database, Expert Systems with Applications 32 pp 125– (2007)
[18] Hogg, Probability and Statistical Inference (1983)
[19] Freund, Mathematical Statistics (1992) · Zbl 0759.62001
[20] Myers, Generalized Linear Models, with Applications in Engineering and the Sciences (2002)
[21] Mood, Introduction to the Theory of Statistics (1974)
[22] Everitt, The Analysis of Contingency Tables (1977) · Zbl 0777.62060 · doi:10.1007/978-1-4899-2927-3
[23] Kendall, The Advanced Theory of Statistics, Vol. 2: Inference and Relationship (1966)
[24] Pearson, On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling, Philosophical Magazine (50) pp 157– (1900) · JFM 31.0238.04 · doi:10.1080/14786440009463897
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