56 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 59 
larger is the head absolutely, but the smaller relatively. If we take 
the mean stature and mean cephalic module as basis of comparison, 
we see that in advancing from these in either direction the changes 
in stature are more rapid than those of the head. As a result of this 
as we advance with stature above the mean, the head-stature index 
gradually diminishes, while if we progress below the mean body 
height, it gradually increases. Thus, as already stated, the shortest 
men have a head absolutely smaller but relatively to stature larger 
than the tallest. 
The table under consideration and a still closer analysis of the 
data reveal further that the diminution of the head-stature index 
from the mean, as well as its augmentation, go on with a fair regu- 
larity and that the change averages, in well preserved adults, approxi- 
mately 0.45 mm. (of the mean head diameter) for each i.o cm. of 
the stature. This 0.45 may well be regarded as the mean, stable, 
differential quotient between a regular theoretical and the actual 
increase of head size in proportion to stature. 
The main conditions dealt with in the preceding paragraphs are, so 
far as the writer can ascertain, not peculiar to the Kharga natives. A 
similar variation of the head-stature index, and a similar value of 
the head-stature differential quotient, occur in the Indians and also 
in whites. 
Regrettably, there are no means of direct comparison in this 
respect of the Kharga natives with the Valley Egyptians. Chantre's 
data are not detailed enough, besides which his head height is 
generally so low that it must have been measured by a method unlike 
that of the writer and can not be utilized for the determination of 
the cephalic module comparable with that used in this paper. Myers' 
data on the Egyptian soldiers, on the other hand, apply, as already 
mentioned, to men selected for their stature ; moreover, Myers has 
measured the height of the head from the bi-meatus line to maxi- 
mum elevation of the vault measurement, which on the average is 
about ii mm. in excess of the bi-meatus-bregma height measured by 
the writer. Nevertheless it is possible to make some indirect colla- 
tion between the two series of subjects, resulting as follows : 
Height of 
head (bi- 
Length of Breadth of meatus line Cephalic 
head head to bregma) module 
Egyptian soldiers from the 
Valley (Myers) of average 
stature above I7ocm 19.5 14.4 about 13.5 .about 15.8 
Male Egyptians from the 
Kharga Oasis (H.) of aver- 
age stature above 170 cm.... 19.0 14.4 13.36 15-6 
