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The Drivers of Regional Entrepreneurship in Rural and Metro Areas  101

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                            APPENDIX: EMPIRICAL ANALYSIS

             An empirical model of entrepreneurial breadth and depth was estimated to
             analyze the relationship of various community characteristics and the
             quantity and value of entrepreneurial activity at the county level. Based on
             the five core categories of hypothesized entrepreneurial drivers suggested by
             existing research, an empirical model was estimated where the entrepre-
             neurial breadth and depth measures were included as dependent variables
             and independent variables were included to measure human capital,
             amenities, financial capital, infrastructure, and other features of the local
             economic landscape.
               The empirical model was estimated in linear form, with results of the
             three regressions reported in table 5.3. Variance inflation factors were less
             than 2 suggesting that multicollinearity is not a significant issue in estima-
             tion. Adjusted R-squares range from 0.09 to 0.32, satisfactory levels for
             cross-sectional analyses, and F-statistics for all equations are significant at
             the 0.05 percent level. The Hausman Specification Tests on the results from
             initial ordinary least squares regressions detects a simultaneity problem be-
             tween the dependent variables and the explanatory variables. A two-stage
             least squares (2SLS) estimation method was implemented to reduce the ef-
             fects of simultaneity and resulted in coefficient similar in sign and signifi-
             cance to OLS results. The White Test does not indicate heteroskedasticity in
             the data and residual plots show few outlying observations. Nevertheless,
             we still tried weighting the 2SLS equations by population, resulting in co-
             efficients of similar sign and significance to their unweighted equivalents.
             Given these findings, we focus on the unweighted results.
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