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Published in: Empirical Economics 2/2014

01-09-2014

Estimating the effect of technological factors from samples affected by collinearity: a data-weighted entropy approach

Author: Esteban Fernández-Vázquez

Published in: Empirical Economics | Issue 2/2014

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Abstract

Measuring the effect of technological activities on productivity growth is an issue that attracted much attention in recent works on empirical econometric studies. Specifically, in the field of regional economics, several attempts have been made in order to quantify the contribution of R&D to labor productivity growth at a regional scale, considering both the internal R&D and the effects obtained by geographical spillovers. The results obtained, however, are characterized by a huge variability and in many cases there is no empirical evidence of positive contributions of R&D activities to productivity growth. Our argument is that this can be a consequence of dealing with samples’ affect by a high level of collinearity. This paper proposes the use of the data-weighted prior (DWP) estimator suggested by Golan (J Econom 101:165–193, 2001). The main advantage of this estimator is that it discriminates between relevant and irrelevant regressors better than other estimators when dealing with highly collinear samples. We evaluate the performance of the DWP estimator by Monte Carlo simulations and illustrate how it works by means of a real-world example.

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Appendix
Available only for authorised users
Footnotes
1
Breschi and Lissoni (2001) and Döring and Schnellenbach (2006) are two examples of extensive reviews of works that study the impact of regional knowledge spillovers.
 
2
For a recent empirical application of this method, see Bernardini-Papalia (2008).
 
4
In terms of standard spatial econometrics, this choice is equivalent to fixing a matrix of spatial weights W with ones in the off-diagonal cells (unit weights). Alternative configurations of this spatial matrix (based on contiguity or interregional trade flows, for example) have been also considered, although the conclusions of the numerical experiment did not vary to a great extent. We finally decided to use these unit weights because this specification leads to higher correlations of the IR variable with the rest of inputs, which illustrates better the problems when dealing with collinear samples.
 
5
The standard deviation of this normal distribution has been fixed as \(\widehat{\sigma }_{\epsilon }=0.007,\) which is the standard error of a preliminary LS estimation for the period 1980–2000 of the model depicted in expression (19), taking as dependent variable the actual values of \(\Delta \ln y_{it}\) obtained from the Regional Accounting of Spain (INE 2003). We have taken this standard error as a reference for introducing a sensible level of random noise in the simulation.
 
6
To prevent computational problems that appear when computing log(0), the spike priors \({\varvec{q}}_{\varvec{h}}^{\varvec{s}}\) have been specified with a point mass at zero equal to 0.999 and 0.0005 for the other points of the support vectors.
 
7
Results on time dummies are not reported, in order to reduce the size of the tables.
 
8
Approximate variances for the GME estimator are calculated following the same procedure as explained in the Appendix.
 
9
The possibility that human capital is not contributing to gains in the productivity of Spanish regions has been an issue discussed in recent works. Previous empirical studies like Lopez-Bazo et al. (2006, p. 912), Gumbau-Albert and Maudos (2006, p. 75, Table 10), or Gómez and Fingleton (2012, p. 3674) found the effect of human capital very small if not statistically insignificant.
 
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Metadata
Title
Estimating the effect of technological factors from samples affected by collinearity: a data-weighted entropy approach
Author
Esteban Fernández-Vázquez
Publication date
01-09-2014
Publisher
Springer Berlin Heidelberg
Published in
Empirical Economics / Issue 2/2014
Print ISSN: 0377-7332
Electronic ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-013-0759-5

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