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Predictor Analysis in Group Decision Making

Author

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  • Stan Lipovetsky

    (Independent Researcher, 13417 Inverness Rd., Minnetonka, Minneapolis, MN 55305, USA)

Abstract

Priority vectors in the Analytic Hierarchy Process (AHP) are commonly estimated as constant values calculated by the pairwise comparison ratios elicited from an expert. For multiple experts, or panel data, or other data with varied characteristics of measurements, the priority vectors can be built as functions of the auxiliary predictors. For example, in multi-person decision making, the priorities can be obtained in regression modeling by the demographic and socio-economic properties. Then the priorities can be predicted for individual respondents, profiled by each predictor, forecasted in time, studied by the predictor importance, and estimated by the characteristic of significance, fit and quality well-known in regression modeling. Numerical results show that the suggested approaches reveal useful features of priority behavior, that can noticeably extend the AHP abilities and applications for numerous multiple-criteria decision making problems. The considered methods are useful for segmentation of the respondents and finding optimum managerial solutions specific for each segment. It can help to decision makers to focus on the respondents’ individual features and to increase customer satisfaction, their retention and loyalty to the promoted brands or products.

Suggested Citation

  • Stan Lipovetsky, 2021. "Predictor Analysis in Group Decision Making," Stats, MDPI, vol. 4(1), pages 1-14, February.
  • Handle: RePEc:gam:jstats:v:4:y:2021:i:1:p:9-121:d:496063
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    References listed on IDEAS

    as
    1. Stan Lipovetsky, 2020. "Personalized Key Drivers for Individual Responses in Regression Modeling," International Journal of Risk and Contingency Management (IJRCM), IGI Global, vol. 9(3), pages 15-30, July.
    2. Stan Lipovetsky & Michael Conklin, 2001. "Analysis of regression in game theory approach," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 17(4), pages 319-330, October.
    3. Stan Lipovetsky & W. Michael Conklin, 2015. "Predictor relative importance and matching regression parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(5), pages 1017-1031, May.
    4. Lipovetsky, Stan & Michael Conklin, W., 2002. "Robust estimation of priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 137(1), pages 110-122, February.
    5. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    6. Lipovetsky, Stan, 2018. "Quantum paradigm of probability amplitude and complex utility in entangled discrete choice modeling," Journal of choice modelling, Elsevier, vol. 27(C), pages 62-73.
    7. Lipovetsky, Stan & Tishler, Asher, 1999. "Interval estimation of priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 114(1), pages 153-164, April.
    8. Lipovetsky, Stan, 1996. "The synthetic hierarchy method: An optimizing approach to obtaining priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 93(3), pages 550-564, September.
    Full references (including those not matched with items on IDEAS)

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