Application Of Implicitly Weighted Regression Quantiles: Analysis Of The 2018 Czech Presidential Election

0553132 - ÚI 2022 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Kalina, Jan - Vidnerová, Petra
Application Of Implicitly Weighted Regression Quantiles: Analysis Of The 2018 Czech Presidential Election.
RELIK 2021. Conference Proceedings. Prague: Prague University of Economics and Business, 2021 - (Langhamrová, J.; Vrabcová, J.), s. 332-341. ISBN 978-80-245-2429-0.
[RELIK 2021: Reproduction of Human Capital - mutual links and connections. Praha (CZ), 04.11.2021-05.11.2021]
Grant CEP: GA ČR GA21-05325S
Institucionální podpora: RVO:67985807
Klíčová slova: linear regression * quantile regression * robustness * outliers * elections results
Obor OECD: Political science
https://relik.vse.cz/2021/download/pdf/381-Vidnerova-Petra-paper.pdf

Regression quantiles can be characterized as popular tools for a complex modeling of a continuous response variable conditioning on one or more given independent variables. Because they are however vulnerable to leverage points in the regression model, an alternative approach denoted as implicitly weighted regression quantiles have been proposed. The aim of current work is to apply them to the results of the second round of the 2018 presidential election in the Czech Republic. The election results are modeled as a response of 4 demographic or economic predictors over the 77 Czech counties. The analysis represents the first application of the implicitly weighted regression quantiles to data with more than one regressor. The results reveal the implicitly weighted regression quantiles to be indeed more robust with respect to leverage points compared to standard regression quantiles. If however the model does not contain leverage points, both versions of the regression quantiles yield very similar results. Thus, the election dataset serves here as an illustration of the usefulness of the implicitly weighted regression quantiles.
Trvalý link: http://hdl.handle.net/11104/0328139