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Alternative Measures of the Explanatory Power of Multivariate Probit Models with Continuous or Ordinal Responses

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Author Info
Martin Spieß
Gerhard Tutz
Abstract

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.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.38587.de/dp291.pdf
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Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 291.

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Length: 22 p.
Date of creation: 2002
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Handle: RePEc:diw:diwwpp:dp291

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Related research
Keywords: Pseudo-R2; Measure of explanatory power; Multivariate probit model; Panel model; Simulation study; Bootstrap confidence intervals;

Find related papers by JEL classification:
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data
C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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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.:
  1. Glahn, Harry R, 1969. "Some Relationships Derived from Canonical Correlation Theory," Econometrica, Econometric Society, vol. 37(2), pages 252-56, April. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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