Corrigendum to “Individual Components of Three Inequality Measures for Analyzing Shapes of Inequality”

Available accessCorrectionFirst published online 2024

Corrigendum to “Individual Components of Three Inequality Measures for Analyzing Shapes of Inequality”

OnlineFirsthttps://doi.org/10.1177/00491241241263701

Abstract

Liao, T. F. (2022). Individual Components of Three Inequality Measures for Analyzing Shapes of Inequality. Sociological Methods & Research, 51(3), 1325-1356. https://doi.org/10.1177/0049124119875961

In this article by Tim Futing Liao, a summation sign inadvertently slipped into Equations (8) and (9). The correct equations should be as:

$t_{T i} = t_{b i} + t_{w i} = y_{i k} y_{k} \ln \frac{{\bar{x}}_{k}}{\bar{x}} + y_{i k} y_{k} \ln \frac{x_{i k}}{{\bar{x}}_{k}}$
(8)

$l_{T i} = l_{b i} + l_{w i} = N_{i k} N_{k} \ln \frac{\bar{x}}{{\bar{x}}_{k}} + N_{i k} N_{k} \ln \frac{{\bar{x}}_{k}}{x_{i k}}$
(9)

The errors in the equations did not affect the iIneq R package available at CRAN referred to in the Author’s Note in the paper. Both the iTheilT and the iTheilL commands in the package compute the correct results based on the correct formulae.