Journal of Management Research

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Composite Desirability Index in Cases of Negative and Zero Desirability


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1 SQC & OR Division Indian Statistical Institute 203 B.T. Road, Kolkata – 700 108
     

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Quantitative assessment of critical performance characteristics based on customer perception is of paramount importance for making business decisions. The concept of composite desirability can be used in such cases to arrive at a single quantitative index for assessment. However, in situations where perceptions are used as metrics/measurements, the scales usually take values between -k to +k for specified k. The present desirability functions either do not reflect or avoid using the negative and zero values. We use a negative exponential transformation to modify Gatza's desirability function in order to accommodate such values. The effects of the parameter of this function are studied for different levels of positive, negative and zero desirability values and a few chosen upper bounds of low positive composite desirability index.

Keywords

Gatza's Function, Negative Exponential Transformation, Desirability Index
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  • Das, P. (2006), A Statistical Thinking Perspective through Six Sigma Philosophy for Improving Health Care Services, The Vision – JOMAS, 2(4): 38-46.

  • Gatza, P. E. and McMillan, R. C. (1972), The Use of Experimental Design and Computerized Data Analysis in Elastomer development Studies, Division of Rubber Chemistry, American Chemical Society Fall Meeting, Paper No. 6, Cincinnati, Ohio, October 3-6.

  • Gauri, S. K. and Das, P. (2006), Enhancing Business Growth through Increase in Consumer Focus: A Case Study, Journal of Quality (online).

  • Harrington Jr. E. C. (1965), The Desirability Function, Industrial Quality Control, April: 494-498


Abstract Views: 344

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  • Composite Desirability Index in Cases of Negative and Zero Desirability

Abstract Views: 344  |  PDF Views: 4

Authors

Prasun Das
SQC & OR Division Indian Statistical Institute 203 B.T. Road, Kolkata – 700 108
Sukalyan Sengupta
SQC & OR Division Indian Statistical Institute 203 B.T. Road, Kolkata – 700 108

Abstract


Quantitative assessment of critical performance characteristics based on customer perception is of paramount importance for making business decisions. The concept of composite desirability can be used in such cases to arrive at a single quantitative index for assessment. However, in situations where perceptions are used as metrics/measurements, the scales usually take values between -k to +k for specified k. The present desirability functions either do not reflect or avoid using the negative and zero values. We use a negative exponential transformation to modify Gatza's desirability function in order to accommodate such values. The effects of the parameter of this function are studied for different levels of positive, negative and zero desirability values and a few chosen upper bounds of low positive composite desirability index.

Keywords


Gatza's Function, Negative Exponential Transformation, Desirability Index

References