Maybe you could start by calculating a standard error for the Gini coefs. This paper may help: http://web.uvic.ca:8080/~uvecon/research/papers/ewp0202.pdf or this: http://www.urosario.edu.co/economia/documentos/pdf/dt65.pdf A similar question was asked here: Comparing Gini coe...
Statistical inference for testing gini coefficients: an application for Colombia
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UNIVERSIDAD DEL ROSARIO, DOCUMENTOS DE TRABAJO, No: 005658
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- Inequality; Gini coefficient; Bootstrap; Colombia; 339.2; Distribución del ingreso; Estadística matemática; Desigualdad económica; Bootstrap (Estadística); Inequality, Gini coe� cient, bootstrap, Colombia.; Desigualdad económica; Bootstrap (Estadistica)
This paper uses Colombian household survey data collected over the period 1984-2005 to estimate Gini coe¢ cients along with their corresponding standard errors. We Önd a statistically signiÖcant increase in wage income inequality following the adoption of the liberalisation measures of the early 1990s, and mixed evidence during the recovery years that followed the economic recession of the late 1990s. We also Önd that in several cases the observed di§erences in the Gini coe¢ cients across cities have not been statistically signiÖcant.