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Knowledge creation model II: The model accounts for sector specific characteristics such as the technological opportunity and the overall dispersion among European regions as well as region specific characteristics such as the size and the endowment of knowledge sectors etc, which assumed to positively influence the patenting activity of a region. In sum, externalities arising from industrial diversity as well as externalities resulting from industrial specialization positively influence the region’s knowledge creation capacity. However, regional innovation externalities may differ from industry to industry (within the high tech sector). The following high-tech industries are considered in the analysis: Computer and electronics; Micro-organism and genetic engineering; Aviation; Communications technology; Semiconductor; Lasers; Specificities of the model: The model is tested on an extended sample of 186 European regions mainly composed of NUTS II regions that covers the entire European Union. For high-tech sector in tota and for each of the 6 high-tech industries. Since the dependent variable of the model has a discrete nature with an important proportion of zeros, the use of conventional linear regression models may by inappropriate. Generally, in order to deal with the discrete and non-negative nature of the patent dependent variable, the simple Poisson regression model is considered as in the study of Feldman and Audretsch (1999). However, an important shortcoming of the Poisson model is its implicit assumption of equality between the first two conditional moments. Given the evidence of overdispersion and the rejection of the Poisson restriction, the model is estimated by allowing for mean-variance inequality. The adopted approach consists in applying the Count Models for panel data: Poisson quasi-maximum likelihood estimator (QMLE). I attach the presentation in PPP by my Professor1 It is worth noting that the interpretation of estimation results of non linear models such as the Poisson, the Tobit or the negative binominal model is somewhat different from those obtained by linear regression models. However, when the explanatory variables enter logarithmically, then the coefficients can be interpreted as elasticities giving the percentage change of the expected value of the dependent variable for a 1 % change of an explanatory variable. For this reason the independent variables of equation have been expressed in logarithmic form. 1 (This robustness of the Poisson QMLE is a special case of the more explicit analysis of quasi-maximum likelihood estimation in the linear exponential family by Gourieroux, Monfort and Trognon (1984). Pij=a1 + a2HTMSijt-3 + a3 HTKSijt-3 + a8 NHCi + a9HMTEi t-3 + a10POPi + a4OKj + a5TDPj + a6GDKi t-1 + a7GDpi t-1 + t-3 + + εij Where .. i– region; j- sector; Pij stands for the average number of patent applications over the period 1998-2007 of region i and sector j to the EPO and proxies innovation output. KNOWLEDGE SPECIALISATION MEASURES2: HTMSij regional production specialization in high-tech manufacturing sector 1998-2007 HTKSij regional production specialization in high-tech knowledge intensive services 1998- 2007 LOCAL COMPETITION MEASURES: GDK i regional measures of high-tech production diversity in 1998-2007 NHCi t-3 number of companies in high-tech in 1998-2007 of region i REGION SPECIFIC MEASURES: HTMEi average ratio of employment in high-tech (HTEi) and medium-high (MHTEi) sectors over the period 1998–2008 over total employment3; POPi stands for the average over the period 1998-2008 of total population and is introduced as a size control variable; TECHNOLOGICAL INTENSITY AND EU HIGH-TECH ACTIVITY: technological opportunity/intensity indicator in 1998-2007 GDPi innovation diversity indicator (in specific high-tech patent groups) in 1998-2007 2 Determined time lag between specialization/diversity (S) and P in high-tech sectors is about 1-3 years 3 Assuming that any adjustment in employment due to a technology change is gradual, the technology variable is lagged by three time periods. TDPj spatial dispersion of high-tech industrial activity in 1998-2007 in EU εij is a random error term. The model should be estimated for the entire high-tech sector as well as for its six industries separately: Aviation, Computer and electronics, Micro-organism and genetic engineering, Communications technology, Semiconductor, Lasers. I would also want you to first estimate the base models and then consider some time lags, that I have introduced in my equation above. The model results should be explained and interpreted in the in regards to correlation between Pij and independent variables: HTMSij , HTKSij , GDPi , NHCi , HTMEi , POPi, OKj and TDPj for high-tech alltogether and each of the industry seperately.
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