A Simple Correction to Remove the Bias of the Gini Coefficient due to Grouping
We propose a first-order bias correction term for the Gini index to reduce the bias due to grouping. It depends on only the number of individuals in each group and is derived from a measurement error framework. We also provide a formula for the remaining second-order bias. Both Monte Carlo and EU and U.S. empirical evidence show that the first-order correction reduces a considerable share of the bias, but that some remaining second-order bias is increasing in the variance. We propose a procedure that addresses the remaining second-order bias by using additional information. © 2011 The President and Fellows of Harvard College and the Massachusetts Institute of Technology.
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Volume (Year): 93 (2011)
Issue (Month): 3 (August)
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