Abstract: In a previous article (Gurland (1968)), a relatively simple form of the distribution of the multiple correlation coefficient R was presented in the form of a mixture of scaled Beta distributions; and an approximation of the distribution was suggested in the form of a scaled F distribution. In a subsequent article (Gurland and Milton (1970)) other representations of the distribution of R were presented and investigated. In the present article the role of the ``kinked X 2'' distribution in this problem is emphasized, to yield other possible representations of the distribution of R.
Key words and phrases: Multiple correlation, series representations of distributions, modified chi-square distribution.