IX X] 



Introduction 



xxv 



Values of the "generalised probable error" coefficients are given in Table X 

 for w=l to 11, and by means of a smooth curve the results may probably be 

 extended to w = 15. The values found for this extension are : 



Illustration (i). Let us consider long bone data for Frenchmen. 1 = F= femur, 

 '2 = H = humerus, 3 = T = tibia, 4 = R radius*, then by formula (xviii) p. xxiv : 



R = 



1, '84.21, -8058, -7439 



8421, 1, -8G01, -8451 



8058, -8601, 1, -7804 



7439, -8451, '7804, 1 



Further in cms : 



m, = 45-23, o-, = 2'372, 

 TO, = 33-01, 0-,= 1-538, 

 m, = 36-81, a, = 1'799, 

 TO 4 = 24-39, o- 4 =ri70. 

 What is the chance that the following individual may be considered French ? 



/" = 36-97, H' = 26-82, r = 30'56, R' = 20'68. 

 The deviations in terms of their standard deviations are : 



a:, = (F' - m l )lff 1 = - 3'482, a;, = (//' - m^/ov, = - 4'059, 

 x , = (T - TO,)/<7, = - 3-474, x t = (R' - i 4 )/o- 4 = - 3'171. 

 Further : 



% = 3-7810, % = 6-5496, ^ = 4-3406, % = 3'6508, 

 K H -K ft 



%= 2-0231, ^ = 1-1404, R = 0-2130, = 2-1946, 



K Jl ti fi 



^ = 2-3175, ^ = 0-6842. 

 H H 



Whence 



n is even, hence : 



16-741,035 and x = 4'0916, 



' For particulars of these length measurements the reader must consult R. S. Proc. Vol. 61, 

 pp. 343 et teq. and Phil. Tram. Vol. 192, A, p. 180. 



B. d 



