Bounds on Concordance-Based Validation Statistics in Regression Models for Binary Responses

Michel Denuit, Mhamed Mesfioui and Julien Trufin ()
Additional contact information
Michel Denuit: Université Catholique de Louvain (UCL)
Mhamed Mesfioui: Université du Québec à Trois-Rivières
Julien Trufin: Université Libre de Bruxelles (ULB)

Methodology and Computing in Applied Probability, 2019, vol. 21, issue 2, 491-509

Abstract: Abstract Association measures based on concordance, such as Kendall’s tau, Somers’ delta or Goodman and Kruskal’s gamma are often used to measure explained variations in regression models for binary outcomes. As responses only assume values in {0, 1}, these association measures are constrained, which makes their interpretation more difficult as a relatively small value may in fact strongly support the fitted model. In this paper, we derive the set of attainable values for concordance-based association measures in this setting so that the closeness to the best-possible fit can be properly assessed.

Keywords: Concordance and discordance; Correlation; Conditional expectation; Logistic regression; GLM; 62J12; 62P05; 62P15 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11009-017-9613-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:21:y:2019:i:2:d:10.1007_s11009-017-9613-0

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1007/s11009-017-9613-0

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().