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Table 4 Confidence intervals (CI) of output elasticities of labor and capital based on a Cobb-Douglas production function, estimated with and without outliers, Stoye’s confidence interval at partially identified parameters; dependent variable: logarithm of sales—lnY

From: Estimation of standard errors and treatment effects in empirical economics—methods and applicationsSchätzung von Standardfehlern und Kausaleffekten in der empirischen Wirtschaftsforschung – Methoden und Anwendungen

 

CI with outliers

CI without outliers

Stoye CI

\(\hat{\beta}_{\ln L;u}\)

0.9555

0.9492

0.9511

\(\hat{\beta}_{\ln L;l}\)

0.9388

0.9339

0.9376

\(\hat{\beta}_{\ln K;u}\)

0.2287

0.2299

0.2282

\(\hat{\beta}_{\ln K;l}\)

0.2162

0.2185

0.2184

\(\Delta\hat{\beta}_{\ln L}\)

0.0167

0.0153

0.0135

\(\Delta\hat{\beta}_{\ln K}\)

0.0125

0.0114

0.0098