Ix Tables for Statisticians and Biometricians [VIII IX 



In standard arrangement: 



and the correlation in this form is negative, though in the original table it is positive, 

 i.e. the more intelligent boys are the more athletic. 



We have : 



d/N= -122,5117; |(1 -a) = '462,822, $(1 -a k ) = -327,869. 

 Hence by linear interpolation from Table XXIX of Tables for Statisticians, Part I, 

 h = -09833, k = -44580. 



Our present tables show that, for djN lying between '115 and '125, and h 

 between '0 and '1 and k between '4 and '5, we must deal with the values of r, 

 '20 and '25. We have first then to find the value of d/N for the above values 

 of h and k when r = '20 and '25. 



We need here a " single finial " formula for x (h) because we are for this variate 

 on the border of our table. The appropriate formula is (ybis)*, or: 



- t X+ 1(1 

 In our case : 



For r = - -20 : 



= 9333, </> = -0667; x = -4580, ^ = -5420; 

 = 03615, <f>x= '03055, ^ = -50585, ^ = -42745; 

 = -01038, i x i/r = -04137. 



= '142,7384, * u = -129,2840, * i = '126,0358, ^ = '114,0334; 

 8 2 ^ 10 = 4265, 8 2 ^ = 5421, 3 2 ^ u = 3979, B z z^ = 4999, 

 8^00=9853, S' 2 -z 10 = 9221, S' z z 01 = 10914, S' 2 ^ u = 10163. 



For r = - '25 : 



- ' : 



= '135,2305, *= -121,8861, *oi= '118,8755, ^='106,9947; 

 2 = 5012, 8 2 ^2o = 6113, 8 2 ^i= 4684, 8 2 ^ 2 i= 5644, 



= 10508, 8 /2 * 10 =9851, S' 2 * i = 11470, 8 /2 ^ u = 10691. 



* See our pp. xix-xx and the diagram, Pig. 3, p. xx. 



