168 



Dr. E. W. A. Walker. 



represents a diminution of the observed sitting height by somewhere between 

 2 and 3 per cent. I have prepared a Table (Table VIII) showing the variations 

 in the calculated values of k when different corrections between these limits 

 are applied to the sitting height, and also when no correction is made. 



Table VIII. — Length Constant calculated with Various Corrections for I. 



Average 

 under- 

 graduate. 



Correction, 

 2 -0 p.c. 



Correction, 

 2 -25 p.c. 



Correction, 

 2 '5 p.c. 



Correction, 

 2 -75 p.c. 



Correction, 

 3 -0 p.c. 



No 

 correction. 



Value of 



Value of 



Value of 



Value of 



Value of 



Value of 





I. 



k. 



I. 



k. 



I. 



k. 



I. 



k. 



I. 



k. 



I. 



k. 





912 



23 -27 



910 



23 21 



908 



23 -17 



905 



23 -09 



903 



23 -04 



931 



23 -75 





911 



23 "28 



909 



23 23 



907 



23 -17 



904 



23 -10 



902 



23 -04 



930 



23 82 



Females. 



Table IX (not printed) contains a full record of the data for females, 

 together with the calculated value of the length constant k for each individual 

 deduced from the formula k = ~W n /l where n has the value 0'32 as determined 

 in Table X. 



In Table X the girls are grouped according to weight in 16 groups. The 

 average body-weight and average body-length for each group is set out, and 

 the figures in the various columns are calculated for each group from the 

 average body-weight and body-length of the group. The body-weights 

 of the groups cover a range in weight from 3831 to 76,430 grm. and show a 

 20-fold increase from the lightest group to the heaviest. 



The " best n " for these groups in the formula 



/ = JcW n 



has the value - 32, while the value 0'33 is nearly as good. The values of k 

 for the groups are shown in the columns for length constant calculated, and 

 are seen to be free from periodicity. They give an average value for k of 

 25 - 60 when n is 0*32, and a value of 23'17 when n is 0'33. 



Substituting these values of n and k in the formula I = kW n the theoretical 

 value of I is calculated for each in the appropriate column. The observed 

 values of I are in good agreement with these calculated values and show an 

 average percentage deviation from them of only 1 - 41 per cent, when n is Q'32 

 (1*49 per cent, when n is - 33). 



