A Statistical Hypothesis Testing Method for the Rank Ordering of the Priorities of the Alternatives in the Analytic Hierarchy Process

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Abstract

In analytic hierarchy process (AHP), a ratio scale (π12,...,πt) for the priorities of the alternatives {T1,T2,...,Tt} is used for a decision problem in which πij is used to quantify the ratio of the priority of Ti to that of Tj. In a group decision-making setup, the subjective estimates of πij are obtained as entries of a pairwise comparison matrix for each member of the group. On the basis of these pairwise comparison matrices, one of the topics of interest in some situation is the total rank ordering of the priorities of the alternatives. In this article, a statistical method is proposed for testing a specific total rank ordering of the priorities of the alternatives. The method developed is then illustrated using numerical examples.

Original languageEnglish (US)
Pages (from-to)161-166
Number of pages6
JournalJournal of Multi-Criteria Decision Analysis
Volume22
Issue number3-4
DOIs
StatePublished - May 1 2015

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Analytic hierarchy process
Hypothesis testing
Pairwise comparisons
Statistical methods
Group decision making
Testing

All Science Journal Classification (ASJC) codes

  • Decision Sciences(all)
  • Strategy and Management

Cite this

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title = "A Statistical Hypothesis Testing Method for the Rank Ordering of the Priorities of the Alternatives in the Analytic Hierarchy Process",
abstract = "In analytic hierarchy process (AHP), a ratio scale (π1,π2,...,πt) for the priorities of the alternatives {T1,T2,...,Tt} is used for a decision problem in which πi/πj is used to quantify the ratio of the priority of Ti to that of Tj. In a group decision-making setup, the subjective estimates of πi/πj are obtained as entries of a pairwise comparison matrix for each member of the group. On the basis of these pairwise comparison matrices, one of the topics of interest in some situation is the total rank ordering of the priorities of the alternatives. In this article, a statistical method is proposed for testing a specific total rank ordering of the priorities of the alternatives. The method developed is then illustrated using numerical examples.",
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