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The Statistical Analysis of Preference Data
Author(s) -
Taplin Ross H.
Publication year - 1997
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/1467-9876.00086
Subject(s) - statistic , preference , statistics , condorcet method , rank (graph theory) , sample (material) , econometrics , summary statistics , mathematics , computer science , voting , combinatorics , political science , law , chemistry , chromatography , politics
A new statistic and a new method of analysis are proposed for data where a sample of respondents provides a preference ordering of some treatments. The new preference statistic is compared with the Friedman statistic, particularly for an example where 12 home owners each ranked four grasses. The new analysis provides a more natural and less misleading assessment of where the differences occur than an analysis based on the rank sums of the Friedman statistic. The new analysis is also more robust to deviations from the classical location problem, is not related to election methods known to have undesirable characteristics and adheres to the Condorcet criterion for election methods.