Files in this item
Size invariant measures of association : characterization and difficulties
Item metadata
dc.contributor.author | Negri, Margherita | |
dc.contributor.author | Sprumont, Yves | |
dc.date.accessioned | 2016-03-20T00:02:04Z | |
dc.date.available | 2016-03-20T00:02:04Z | |
dc.date.issued | 2015-05 | |
dc.identifier | 240870621 | |
dc.identifier | 11341051-b020-4cf7-9431-91b75fdb3232 | |
dc.identifier | 84926463546 | |
dc.identifier | 000355044100011 | |
dc.identifier.citation | Negri , M & Sprumont , Y 2015 , ' Size invariant measures of association : characterization and difficulties ' , Mathematical Social Sciences , vol. 75 , pp. 115-122 . https://doi.org/10.1016/j.mathsocsci.2015.03.002 | en |
dc.identifier.issn | 0165-4896 | |
dc.identifier.uri | https://hdl.handle.net/10023/8443 | |
dc.description | Sprumont acknowledges support from the Fonds de Recherche sur la Soci été et la Culture of Québec. | en |
dc.description.abstract | A measure of association on cross-classification tables is row-size invariant if it is unaffected by the multiplication of all entries in a row by the same positive number. It is class-size invariant if it is unaffected by the multiplication of all entries in a class (i.e., a row or a column). We prove that every class-size invariant measure of association assigns to each cross-classification table a number which depends only on the cross-product ratios of its 2×2 subtables. We submit that the degree of association should increase when mass is shifted from cells containing a proportion of observations lower than what is expected under statistical independence to cells containing a proportion higher than expected–provided that total mass in each class remains unchanged. We prove that no continuous row-size invariant measure of association satisfies this monotonicity axiom if there are at least four rows. | |
dc.format.extent | 8 | |
dc.format.extent | 374167 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Social Sciences | en |
dc.subject | Association | en |
dc.subject | Contingency tables | en |
dc.subject | Margin-free measures | en |
dc.subject | Size invariance | en |
dc.subject | Monotonicity | en |
dc.subject | Transfer principle | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Size invariant measures of association : characterization and difficulties | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. School of Economics and Finance | en |
dc.identifier.doi | 10.1016/j.mathsocsci.2015.03.002 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-03-20 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.