Alternative Measures of the Explanatory Power of Multivariate Probit Models with Continuous or Ordinal Responses
In this paper R2-type measures of the explanatory power of multivariate linear and categorical probit models proposed in the literature are reviewed and their deficiencies are discussed. It is argued that a measure of the explanatory power should take into account the components which are explicitely modeled when a regression model is estimated while it should be indifferent to components not explicitely modeled. Based on this view three different measures for multivariate probit models are proposed. Results of a simulation study are presented designed to compare two measures in various situations and evaluate the BCa bootstrap technique for testing the hypothesis that the corresponding measure is zero and to calculate approximate confidence intervals. The BCa bootstrap technique turned out to work quite well for a wide range of situations, but may lead to misleading results if the true values of the corresponding measure is close to zero.
|Date of creation:||2002|
|Contact details of provider:|| Postal: Mohrenstraße 58, D-10117 Berlin|
Web page: http://www.diw.de/en
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Glahn, Harry R, 1969. "Some Relationships Derived from Canonical Correlation Theory," Econometrica, Econometric Society, vol. 37(2), pages 252-256, April.
- McElroy, Marjorie B., 1977. "Goodness of fit for seemingly unrelated regressions : Glahn's R2y.x and Hooper's r2," Journal of Econometrics, Elsevier, vol. 6(3), pages 381-387, November.
- Carter, Richard A. L. & Nagar, Anirudh L., 1977. "Coefficients of correlation for simultaneous equation systems," Journal of Econometrics, Elsevier, vol. 6(1), pages 39-50, July.
When requesting a correction, please mention this item's handle: RePEc:diw:diwwpp:dp291. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bibliothek)
If references are entirely missing, you can add them using this form.