### Abstract

In analytic hierarchy process (AHP), a ratio scale (π_{1},π_{2},...,π_{t}) for the priorities of the alternatives {T_{1},T_{2},...,T_{t}} is used for a decision problem in which π_{i}/π_{j} is used to quantify the ratio of the priority of T_{i} to that of T_{j}. In a group decision-making setup, the subjective estimates of π_{i}/π_{j} 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 language | English (US) |
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Pages (from-to) | 161-166 |

Number of pages | 6 |

Journal | Journal of Multi-Criteria Decision Analysis |

Volume | 22 |

Issue number | 3-4 |

DOIs | |

State | Published - May 1 2015 |

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### All Science Journal Classification (ASJC) codes

- Decision Sciences(all)
- Strategy and Management

### Cite this

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**A Statistical Hypothesis Testing Method for the Rank Ordering of the Priorities of the Alternatives in the Analytic Hierarchy Process.** / Basak, Indrani.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Statistical Hypothesis Testing Method for the Rank Ordering of the Priorities of the Alternatives in the Analytic Hierarchy Process

AU - Basak, Indrani

PY - 2015/5/1

Y1 - 2015/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84937190998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937190998&partnerID=8YFLogxK

U2 - 10.1002/mcda.1526

DO - 10.1002/mcda.1526

M3 - Article

AN - SCOPUS:84937190998

VL - 22

SP - 161

EP - 166

JO - Journal of Multi-Criteria Decision Analysis

JF - Journal of Multi-Criteria Decision Analysis

SN - 1057-9214

IS - 3-4

ER -