Frank (2009) constructed a comprehensive panel of state‐level income inequality measures using individual tax filing data from the Internal Revenue Service. Employing an array of cointegration exercises for the data, he reported a positive long‐run relationship between income inequality and the real income per capita in the United States. This article questions the validity of his findings. First, we suggest a misspecification problem in his approach regarding the order of integration in the inequality index, which shows evidence of nonstationarity only for the post‐1980 data. Second, we demonstrate that his findings are not reliable because the panel cointegration test he used requires cross‐section independence, which is inappropriate for the U.S. state‐level data. Employing panel tests that allow cross‐section dependence, we find no evidence of cointegration between inequality and the real income. (JEL D31, O40)