Arbeitspapier

A note on the different interpretation of the correlation parameters in the Bivariate Probit and the Recursive Bivariate Probit

This note makes the point that, if a Bivariate Probit (BP) model is estimated on data arising from a Recursive Bivariate Probit (RBP) process, the resulting BP correlation parameter is a weighted average of the RBP correlation parameter and the parameter associated to the endogenous binary variable. Two corollaries follow this proposition: i) a zero correlation parameter in a BP model, usually interpreted as evidence of independence between the binary variables under study, may actually mask the presence of a RBP process; and ii) the interpretation of the correlation parameter in the RBP is not the same as in the BP —i.e. the RBP correlation parameter does not necessarily reflect the correlation between the binary variables under study.

Sprache
Englisch

Erschienen in
Series: Economics Working Paper Series ; No. 17/275

Klassifikation
Wirtschaft
Single Equation Models; Single Variables: Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
Thema
Bivariate probit
Recursive Bivariate probit
Tetrachoric correlation
Monte Carlo simulation

Ereignis
Geistige Schöpfung
(wer)
Filippini, Massimo
Greene, William
Kumar, Nilkanth
Martinez-Cruz, Adan
Ereignis
Veröffentlichung
(wer)
ETH Zurich, CER-ETH - Center of Economic Research
(wo)
Zurich
(wann)
2017

DOI
doi:10.3929/ethz-b-000186391
Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Filippini, Massimo
  • Greene, William
  • Kumar, Nilkanth
  • Martinez-Cruz, Adan
  • ETH Zurich, CER-ETH - Center of Economic Research

Entstanden

  • 2017

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