Henderson, Daniel J. (2008): A Test for Multimodality of Regression Derivatives with an Application to Nonparametric Growth Regressions.

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Abstract
This paper presents a method to test for multimodality of an estimated kernel density of parameter estimates from a locallinear leastsquares regression derivative. The procedure is laid out in seven simple steps and a suggestion for implementation is proposed. A Monte Carlo exercise is used to examine the finite sample properties of the test along with those from a calibrated version of it which corrects for the conservative nature of Silvermantype tests. The test is included in a study on nonparametric growth regressions. The results show that in the estimation of unconditional βconvergence, the distribution of the parameter estimates is multimodal with one mode in the negative region (primarily OECD economies) and possibly two modes in the positive region (primarily nonOECD economies) of the parameter estimates. The results for conditional βconvergence show that the density is predominantly negative and unimodal. Finally, the application attempts to determine why particular observations posess positive marginal effects on initial income in both the unconditional and conditional frameworks.
Item Type:  MPRA Paper 

Original Title:  A Test for Multimodality of Regression Derivatives with an Application to Nonparametric Growth Regressions 
Language:  English 
Keywords:  Nonparametric Kernel; Convergence; Modality Tests 
Subjects:  O  Economic Development, Innovation, Technological Change, and Growth > O1  Economic Development > O10  General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C14  Semiparametric and Nonparametric Methods: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C15  Statistical Simulation Methods: General O  Economic Development, Innovation, Technological Change, and Growth > O4  Economic Growth and Aggregate Productivity > O40  General 
Item ID:  8768 
Depositing User:  Daniel J. Henderson 
Date Deposited:  16. May 2008 00:38 
Last Modified:  21. Apr 2015 14:21 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/8768 