The Theory of Path Coefficients a Reply to Niles's Criticism.

PAGE INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 General applications of the theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 240 Mathematics of path coefficients. ................................................. 243 Definitions. .................................................................... 243 Path coefficients and correlation. .................................................. 244 Degree of determination.. ....................................................... 245 Precautions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 Direction of influence. .................................... ,, ..................... 247 Application to causal relations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 248 The relative importance of heredity and environment. ............................... 250 The consequences of different systems of mating .................................... 251 Miscellaneous applications. ................................................... , .. 252 Relation to multiple correlation. .................................................. 252 CONCLUSIONS. .. ............................................................... 254 LITERATURE CITED. .. .......................................................... 255