Author | Critchlow, Douglas E. author |
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Title | Metric Methods for Analyzing Partially Ranked Data [electronic resource] / by Douglas E. Critchlow |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1106-8 |
Descript | X, 216 p. online resource |
I. Introduction and Outline -- II. Metrics on Fully Ranked Data -- A. Permutations: Some Important Conventions -- B. Metrics on Permutations: Discussion and Exampl es -- C. The Requirement of RightโInvariance -- III. Metrics on Partially Ranked Data: The Case where Each Judge Lists His k Favorite Items Out of n -- A. The Coset Space Sn/Sn-k -- B. The Hausdorff Metrics on Sn/Sn-k -- C. The Fixed Vector Metrics on Sn/Sn-k -- IV. Metrics on Other Types of Partially Ranked Data -- A. The Coset Space Sn/S, Where S = Sn1 รSn2 ร โฆรSnr -- B. The Hausdorff Metrics on Sn/S -- C. The Fixed Vector Metrics on Sn/S -- D. Hausdorff Distances between Different Types of Partially Ranked Data: A Complete Proof of the Main Theorem -- E. The Tied Ranks Approach to Metrizing Partially Ranked Data -- V. Distributional Properties of the Metrics -- A. Exact Distributions -- B. Asymptotic Distributions -- VI. Data Analysis, Using the Metrics -- A. Fitting Probability Models to Partially Ranked Data -- B. Multidimensional Scaling for Partially Ranked Data -- C. Two Sample Problems for Partially Ranked Data -- Appendix A โ The Existence Of Fixed Vectors -- Appendix C โ Fortran Subroutines For Fitting Mallowsโ Model To Partially Ranked Data -- Appendix E โ Comparison Of Exact And Asymptotic Distributions -- Index Of Notation