2002
DOI: 10.1111/1368-423x.00078
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Exact interpretation of dummy variables in semilogarithmic equations

Abstract: This paper considers the percentage impact of a dummy variable regressor on the level of the dependent variable in a semilogarithmic regression equation with normal disturbances. We derive an exact unbiased estimator, its variance, and an exact unbiased estimator of the variance. The main practical contribution lies in a convenient approximation for the unbiased estimator of the variance, which can be reported together with Kennedy's approximate unbiased estimator of the percentage change. The two approximatio… Show more

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Cited by 185 publications
(113 citation statements)
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“…Rather than focusing on the point estimate alone, we are interested also in the (95%) confidence interval of Δφ i j,k , taking into account (i) the imprecision of the point estimates in Tables 2, 3, and 5 and (ii) the fact that the considered trade cost measures which we change in counterfactual equilibrium are binary which requires adjusted confidence intervals (see van Garderen and Shah 2002). van Garderen and Shah (2002) prove that for an impact estimate of the k − th binary (in our case, trade cost) variable t i j,k in percent, switching that variable with estimated parameter α k from zero to unity obtains …”
Section: Data and Estimation Resultsmentioning
confidence: 99%
“…Rather than focusing on the point estimate alone, we are interested also in the (95%) confidence interval of Δφ i j,k , taking into account (i) the imprecision of the point estimates in Tables 2, 3, and 5 and (ii) the fact that the considered trade cost measures which we change in counterfactual equilibrium are binary which requires adjusted confidence intervals (see van Garderen and Shah 2002). van Garderen and Shah (2002) prove that for an impact estimate of the k − th binary (in our case, trade cost) variable t i j,k in percent, switching that variable with estimated parameter α k from zero to unity obtains …”
Section: Data and Estimation Resultsmentioning
confidence: 99%
“…The 6 We calculate home market advantage using 100 · (exp(ĉ) − 1), whereĉ is the coefficient on the dummy for being a home brand. If we follow Kennedy (1981) and van Garderen and Shah (2002) and calculate home market advantage using 100 · (exp(ĉ − 1 2 V (ĉ)) − 1), where V (ĉ) is the estimate of its variance, we obtain nearly identical results, since the coefficient is very precisely estimated.…”
Section: Data and Descriptive Evidencementioning
confidence: 92%
“…The robustness checks show that the difference in spending on education holds across various specifications. An exact interpretation of dummy variables in semi-logarithmic regressions is provided in the row "Transformation" following van Garderen and Shah (2002). However, the exact interpretation deviates from the regression coefficients only slightly and also statistical significance remains unchanged.…”
Section: Total Causal Effectmentioning
confidence: 99%
“…Standard errors clustered at the household level in parenthesis. The line "Transformation" reports approximate unbiased estimator of the percentage change of a dummy variable in a semi-logarithmic regression (Kennedy 1981) and its standard error following van Garderen and Shah (2002).…”
Section: Total Causal Effectmentioning
confidence: 99%