From "Central Bank Independence and Macroeconomic Performance: Some Comparative Evidence," by Alberto Alesina and Lawrence H. Summers, Journal of Money, Credit and Banking, Vol. 25, No. 2. (May, 1993), pp. 151-162 (the link will work on UO net, but I don't expect you to read the paper as it is a bit technical):

This has changed with the adoption of inflation targeting by central banks. Note also that Adam Posen casts doubt on whether causality runs from central bank independence to improved macroeconomic performance in Central Bank Independence and Disinflationary Credibility: A Missing Link?, NY Fed Staff Report, May 1995.