liv 



Tables for Statisticians and Biometricians [XXX 



Hence r, h being known, Fis a tabled integral for each value of Y. Accordingly 



by aid of Table II we know 



w 



V2 7 



, and using a quadrature formula, d/N can 



be found for each value of h, k and r. 



Table XXX gives, for r = -80, -85, "90, -95 and 100, and values of h and k 

 proceeding by •], the values of d/N. For given values of h, k and djN, we can 

 then find r by interpolation from these tables. The process is far shorter than 

 that required by Table XXIX when we have to proceed to many terms. Un- 

 fortunately opportunity has not yet arisen for fully completing similar tables 

 for r negative and over "80. 



Illustration. Determine the correlation in habits between Mother and Father 

 in Bradford. The data are 



Mother. 



- 

 Pm 



Here (b +d)/N= -32017, (c+d)/N= -37441, and therefore h = -46722, /„■ = -32020 

 from Table II. Also djN= 476/1696 = -28066. 



Inspection of Table XXX shows that r will be likely to lie between -90 and -95. 



We extract from the Table for d/N : 



Hence : 



Tin 



