William Dowell Baten

Tables for Finding the Partial Coefficient of Correlation

between xx and x2 with x3 held constant. The quantities r13 and r23 may be inter changed in the formula without affecting the value of the the partial coefficient. For a mathematical treatment of partial cor relation see Camp1 and Rietz.2 The following tables contain values of Ti2.3 for values of the total correlation co efficients for every one-tenth, that is ri2 has values J0,.l,.2,... ,.9,1.0 while r13 and r23 have values equal to .0,.1,.2,...,.9 re spectively. The following example will il lustrate the meaning of the formula and al so show how to use the tables. The correlation coefficient between the weights and chest measurements of men who are twenty years of age is r^.8; the cor relation between weights and heights is r13s .5, while the correlation coefficient between chest measurements and heights is r23 = .6. The partial coefficient of corre lation between weights and chest measure ments with height held constant is accord ing to Table I