论文信息 - Ordinal data AHP analysis: A proposed coefficient of consistency and a nonparametric test

Ordinal data AHP analysis: A proposed coefficient of consistency and a nonparametric test

Virtually all AHP studies reported in the literature entail paired comparison ratio judgments from respondents. This paper considers situations where respondents can only supply ordinal judgments with reliability and validity. Results of the paper can also be applied to ratio scaled paired comparison matrices to test for ordinal response inconsistencies. The paper introduces an ordinal Coefficient of Consistence and a nonparametric test of paired comparison response circular triads (inconsistencies).

Robert E. Jensen | T. E. Hicks | R. E. Jensen | Thomas E. Hicks

[1] L. A. Goodman,et al. Measures of Association for Cross Classifications, IV: Simplification of Asymptotic Variances , 1972 .

[2] L. A. Goodman,et al. Measures of Association for Cross Classifications III: Approximate Sampling Theory , 1963 .

[3] M. Kendall. Rank Correlation Methods , 1949 .

[4] L. A. Goodman,et al. Measures of association for cross classifications , 1979 .

[5] T. L. Saaty. A Scaling Method for Priorities in Hierarchical Structures , 1977 .

[6] T. Saaty,et al. The Analytic Hierarchy Process , 1985 .

[7] L. A. Goodman,et al. Measures of Association for Cross Classifications. II: Further Discussion and References , 1959 .

[8] Thomas L. Saaty,et al. Decision making for leaders , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[9] R E Jensen. Aggregation (Composition) Schema For Eigenvector Scaling Of Criteria Priorities In Hierarchical Structures. , 1983, Multivariate behavioral research.

[10] V. Belton,et al. The legitimacy of rank reversal—A comment , 1985 .

[11] Thomas L. Saaty,et al. Higher education in the united states (1985–2000): Scenario construction using a hierarchical framework with eigenvector weighting , 1976 .

[12] T. Saaty. RANK GENERATION, PRESERVATION, AND REVERSAL IN THE ANALYTIC HIERARCHY DECISION PROCESS , 1987 .

[13] M. Kendall,et al. Rank Correlation Methods , 1949 .