DATA FOR THE PROBLEM OF EYOLUTIOX IN MAN. 243 
indirectly selected organs, when they have their values expressed in terms of cdl 
the directly selected organs, and any number of indirectly selected organs will have 
reo-ression formnlre the same for the differentiated races. Further, if size he the 
character chiefly selected, then the changes in the constants of the regression 
formulfe will only be of the second or third order. 
Without entering into a discussion of this and allied theorems by which Professor 
Peaeson hopes to quantitatively attack the problem of the evolutionary relationship of 
local races, I would note that for our Immediate purposes we seek a formula which 
will apply to all local races, and that the best formula will be one that is sensibl}^ 
identical in its results for extremely different types of life. 
Now a very short inspection of Tables \. to \III. shows that for neither sex are 
the constants for any one of the first eight regression formulfe approximately alike. 
It seems therefore absolutely impossible to apply successfully any one of these to 
any other local race. On the other hand, considering the comparative paucity of 
the skulls dealt with, there is a remarkable agreement between the constants of 
formula (9) for both races. This agreement for different races again receives striking 
confirmation when we examine the results for the Naqada race given on p. 237. I 
reproduce the whole series here :— 
Table XVII. — Peconstruction Formula (9). 
Males, 
German formula . . . C = '000332 X L X B X H + 415'34 
Aino formula . . . . C = '000328 X L X B X H + 430'30 
Naqada formula . . . C = '000352 X L X B X H + 372'39 
Mean formula , . . . C = '000337 X L X B X H + 40G'01 
Females, 
German formula . . . C = '000383 X L X B X H + 242'19 
Aino formula .... C — '000400 X L X B X H + 187'80 
Naqada formula . . . C = '000416 X L X B X H + 189'81 
Mean formula . . . . G = '000400 X L X B X H + 206'60 
We could hardly have selected three more diverse races than German, Aino, and 
Naqada, and yet we have reached for sparse material a surprising identity of results ! 
If we want the mean skull capacity of any race for which L, B, and H are known, 
we have only to select the closest race out of Table XVII., or, failing knowledge of 
racial relationships, the mean formula, and we shall obtain a result well within the 
error of the personal equation of two observers, or the differences arising from usiug 
2 I 2 
