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A Simple Representation of the Bera-Jarque-Lee Test for Probit Models

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  • Joachim Wilde

Abstract

The inference in probit models relies on the assumption of normality. However, tests of this assumption are not implemented in standard econometric software. Therefore, the paper presents a simple representation of the Bera-Jarque-Lee test, that does not require any matrix algebra. Furthermore, the representation is used to compare the Bera-Jarque- Lee test with the RESET-type test proposed by Papke and Wooldridge (1996).

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Bibliographic Info

Paper provided by Halle Institute for Economic Research in its series IWH Discussion Papers with number 13.

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Date of creation: Dec 2007
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Handle: RePEc:iwh:dispap:13-07

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Keywords: probit model; Lagrange multiplier test; normality assumption; artificial regression;

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  1. Leslie E. Papke & Jeffrey M. Wooldridge, 1993. "Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates," NBER Technical Working Papers 0147, National Bureau of Economic Research, Inc.
  2. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
  3. Davidson, Russell & MacKinnon, James G., 1984. "Convenient specification tests for logit and probit models," Journal of Econometrics, Elsevier, vol. 25(3), pages 241-262, July.
  4. Engle, Robert F., 1984. "Wald, likelihood ratio, and Lagrange multiplier tests in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 13, pages 775-826 Elsevier.
  5. Bera, Anil K & Jarque, Carlos M & Lee, Lung-Fei, 1984. "Testing the Normality Assumption in Limited Dependent Variable Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 563-78, October.
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Cited by:
  1. Elias Katsikas & Theologos Dergiades, 2009. "Higher Education Policy in Greece: Filling the Danaids' Jar," Discussion Paper Series 2009_16, Department of Economics, University of Macedonia, revised Nov 2009.
  2. ÇAGLAYAN, Ebru & UN, Turgut, 2012. "Heteroscedastic Probit Model: An Application Of Home Ownership In Turkey," Regional and Sectoral Economic Studies, Euro-American Association of Economic Development, vol. 12(2).
  3. Elias Katsikas & Theologos Dergiades, 2012. "Revising higher education policy in Greece: filling the Danaids’ Jar," Empirica, Springer, vol. 39(3), pages 279-292, August.

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