4.33. (See. 4.3) II/variance of Ihe sample partial correiatioll coefficient. Prove that rlc .3 ..... p is invariant under the transformations x;a = aixia + b;x~) + ci' ai> 0, t' = 1, 2, x~')' = Cx~') + b" a = 1, ... , N, where x~') = (X3a,"" xpa )', and that any function of i and l: that is invariant under these transformations is a function of r 12.3 .... p.