Testing for Functional Form and Heteroscedasticity

Publication Type

Conference Paper

Publication Date

7-2004

Abstract

This paper considers tests of misspecification in a heteroscedastic transformation model. We derive Lagrange multiplier (LM) statistics for (i) testing functional form and heteroscedasticity jointly, (ii) testing functional form in the presence of heteroscedasticity, and (iii) testing heteroscedasticity in the presence of data transformation. We present LM statistics based on the expected information matrix. For cases (i) and (ii), this is done assuming the Box-Cox transformation. For case (iii), the test does not depend on whether the functional form is estimated or pre-specified. Small-sample properties of the tests are assessed by Monte Carlo simulation, and comparisons are made with the likelihood ratio test and other versions of LM test. The results show that the expected-information based LM test has the most appropriate finite-sample empirical size

Discipline

Econometrics

Research Areas

Econometrics

Publication

6th International Chinese Statistical Association Meeting

Additional URL

http://ideas.repec.org/p/ecm/feam04/424.html

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