The purpose of this paper is to present tables for the construction of confidence limits on the multiple correlation coefficient when sampling from ak-variate normal population. Ezekiel and Fox [3, pp. 296–8] prepared charts which serve this purpose whenkis eight or less. The tables in this paper are for cases involving values ofkthat are larger than eight. Some brief historical comment is also given, and (in the next to the last paragraph) an illustration of the use of the tables.