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A one-covariate-at-a-time multiple testing approach to variable selection in additive models.

Authors :
Su, Liangjun
Tao Yang, Thomas
Zhang, Yonghui
Zhou, Qiankun
Source :
Econometric Reviews. 2024, Vol. 43 Issue 9, p671-712. 42p.
Publication Year :
2024

Abstract

This article proposes a One-Covariate-at-a-time Multiple Testing (OCMT) approach to choose significant variables in high-dimensional nonparametric additive regression models. Similarly to Chudik, Kapetanios, and Pesaran, we consider the statistical significance of individual nonparametric additive components one at a time and take into account the multiple testing nature of the problem. Both one-stage and multiple-stage procedures are considered. The former works well in terms of the true positive rate only if the net effects of all signals are strong enough; the latter helps to pick up hidden signals that have weak net effects. Simulations demonstrate the good finite-sample performance of the proposed procedures. As an empirical illustration, we apply the OCMT procedure to a dataset extracted from the Longitudinal Survey on Rural Urban Migration in China. We find that our procedure works well in terms of out-of-sample root mean square forecast errors, compared with competing methods such as adaptive group Lasso (AGLASSO). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
07474938
Volume :
43
Issue :
9
Database :
Academic Search Index
Journal :
Econometric Reviews
Publication Type :
Academic Journal
Accession number :
179255249
Full Text :
https://doi.org/10.1080/07474938.2024.2357771