Tests of Functional Form and Heteroscedasticity

Y. K. Tse () and Zhenlin Yang

No 424, Econometric Society 2004 Far Eastern Meetings from Econometric Society

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

Keywords: Functional Form; Heterscedasticity; Lagrange Multiplier Test (search for similar items in EconPapers)
JEL-codes: C1 C5 (search for similar items in EconPapers)
Date: 2004-08-11
New Economics Papers: this item is included in nep-ecm
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http://repec.org/esFEAM04/up.25512.1073897382.pdf (application/pdf)

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Working Paper: Tests of Functional Form and Heteroscedasticity (2004)
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