1922. j P. C. Mahalanobis ; Analysis of Stature. 69 



I nterracially , taller races are on the whole more variable than 

 shorter. 



It will be noticed that the average stature of all the races is 

 1665*24 and in the case of selected races, 1663-94 mm. 



The Anglo-Indians are thus slightly shorter than the general 

 average of all the races. But the difference is only about 7 mm. 



In this connection it is interesting to compare the figures 

 given by Tschepourkowsky. 1 He finds for 92 Russian races the 

 mean value of average stature to be 1647*4 mm. and S.D. 33-3 

 mm. while for Deniker's 84 living races, the values are 1639*6 

 and 55*9 respectively. 



His coefficient of interracial variation of stature is 2*02. In 

 our series of 100 races it is slightly higher, being about 2*22 but is 

 of the same order. 



Thus our value of interracial variability agrees generally with 

 u previous value found independently by another worker. 2 



We can now pass on to the question of interracial correlation 

 between M and V. 



If v ]t v. z , v &9 v 4 are the variabilities of x l9 %, x 3 , x± and r l2i r l3 

 are the correlation between x l and x it x 2 and # 3 , etc., then the correla- 

 tion between #i/# 3 and x -ijx^ has been shown 3 to be 



r 



y/(v x % + vf - 2r ] ^ l v 2 ){v.J i + < - 2r u v.,v 4 ) 



We get correlation between M and F = iooo-/^f by putting 



X\—x^=-M y x d =i and % 2 = cr 

 Then 



Thus 





_ rv*v-z~Vi 



17 - ] Vv, 2 + Kg* — 2r l2 v l v 2 

 For the Whole Series of loo races : — 



V, = 2*21 62 



v 2 =16-17 



r l2= +*30 98 



Hence pM> r = + -17 87 + -065 



For the Selected Series of 55 races :— 



v { = 2-19 93 

 v 2 — 10*89 



J E. Tschepourkowsky: ''Contributions to the Study of Interracial Corre- 

 lation." ^ Biom. Vol. IV (1905), pp. 286—312. 



2 We may note however that the interracial variability is higher in our case. 

 This implies that our sample of races is more representative in chnracter than 

 Tschepourkowsky' s. 



s K. Pearson: "On Spurious Correlation,' Proc. Roy Soc. Vol. LX. 



