132 



Miss M. A. Whiteley and Prof. Karl Pearson. 



least correlation, and the pair of middle fingers higher correlation than 

 the pair of ring fingers. 



Dr. Warren* has been the first to consider the correlation of cor- 



Hence we are compelled to conclude that the correlation between cor- 

 responding long bones (with the possible exception of that of the 

 radii, which is within the probable error of the value for the middle 

 fingers) is greater than that between corresponding parts of the two 

 hands. 



6. Index Correlations. — One of the present writers has previously 

 expressed doubts of the validity of using index correlations as a 

 measure of organic correlation.! At the same time it may not be 

 without value to put on record the correlations between the finger 

 joints expressed in terms of the first little finger joint as unit. 



There are two methods of obtaining index correlations, either 

 directly by forming the actual ratios and then grouping them in cor- 

 relation tables, or indirectly from the variations and correlations of the 

 absolute quantities by means of the formulae given in the memoir cited 

 in the footnote. The latter is by far the easier process, but it neglects 

 what are usually small quantities of the third order. In order to 

 justify the use of the latter method, the values of the constants for 

 i 14 = Ei/Eiv and i 2 4 = Eii/Eiv were found by both methods. They 

 gave the following results, 2 14 , 2 2 4 being the standard deviations of 

 the indices, Vu, V04 the coefficients of variation, and p the coefficient 

 of correlation. 



responding right and left parts. He gives for $ series of Naqada 

 bones : — 



E and L femur 0-9618 ± 0*0045 



R and L tibia 0*9505 ± 0*0047 



E and L humerus 0*9643 ± 0*0047 



E and L radius 0*9322 ± 0*0124 



Table V. 



Directly. 

 By correlation table. 



Indirectly. 

 By formulae. 



Difference. 



— 14 



y 



1 -2216 

 1 -2970 

 -0368 

 -0389 

 3 -0097 

 3 -0034 

 0-7388 



1 -2210 

 1 -2968 

 -0379 

 -0395 

 3 -1013 

 3 -0487 

 7631 



+ -0006 

 + 0-0002 

 -0-0011 

 -0-0006 

 -0 0916 

 -0-0453 

 -0-0243 



* ' Phil. Trans.,' B, vol. 189, p. 178. 



t ' Boy. Soc. Proc.,' vol. 60, pp. 489—498. 



