Testing a Nonlinear Regression Specification: A Nonregular Case
- 1 September 1977
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 72 (359) , 523
- https://doi.org/10.2307/2286210
Abstract
A statistical test of whether an additive nonlinear term in the response function should be omitted from a nonlinear regression specification is considered. The regularity conditions used to obtain the asymptotic distributions of the customary test statistics are violated when the null hypothesis of omission is true. Moreover, standard iterative algorithms are likely to perform poorly when the data support the null hypothesis. Methods designed to circumvent these mathematical and computational difficulties are described and illustrated.Keywords
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