XVIII — XX] Introduction 



Interpolating for (,0-,. first, 



r = -5 „cr, = ^0514 log;;^;== 2^0737, 



;- = -6 ,o-,= ^0514 log ;)(;= = 2^2.537. 



Hence for log x = 2-1 24.9 : 



. •0512 r,-, .-.o 



'■'■ = ■' + -isoo^'^'^-'^- 



We conclude that the equiprobable correlation is •53. 

 (■i) Imbecility and Deaf-mutism. 



\ogx' = S-90-39 „o-, = -0175, 

 r = 0-95, „o-, = -01, log X- = 4-3673 ; „o-, = -02, log x' = 3-7660. 

 Hence: r = 0-<J5, „o-, = •0175, log x' = 3-9163. 



Again : 



r = 0-9U, „o-, = -01, log X- = 4-2207 ; „a,. = -02, log pj;= = 3-6197. 

 Hence: r = 0-y0, „o-,.= -0175, log x- = 3-7699. 



Interpolating log x= = 39039 between 39163 and 3 7699, we find 



Tp = 0-946. 

 (5) Developmental Defects and Dullness. 



log ;i^--' = 3-5128, oO-, = -0201. 

 r = 0-8, oO-, = -02, log x' = 3-4097 ; „a, = "03, log x' = 30598. 



XXXIX 



Hence : 



„o-, = -0201, log x: = 3-4062. 



r = 0-n, „<T,= -02, log x" = S-6ld7 ■ „o-,= -03, log x" = 3-2690. 

 Hence : log x"' = 3-6162, for „o-,. = ^0201. 

 Thus, by interpolating logx' = 3-5]28 between 3-4062 and 3-6162, we find 



rp = -851. 

 We have accordingly the following results : 





C, 



P 



rp 



'' 



Q 



(1) Datum 



(2) Eye-Uolour 



(3) Houses 



(4) Imbecility and Deaf-Mutism 



(5) Defects and Dullness 



•2803 

 •34;J0 

 •0146 

 •0157 

 •3320 



•8713 



1-035/1028 



•6948 

 3^179/10i™ 

 2 •846/10"°'' 



-038 

 -529 

 •027 

 •946 

 •851 



~-l8S±-U0 

 •550+ ^027 



- -081 + ^043 

 •3.30 +^01 2 

 •652+^009 



1 



-•282 



•581 



-•190 



•907 



•846 



1 

 1 



It will be seen that equiprobable rp confirms generally the results from P, i.e. 

 the tables for 'Datura' and ' Houses ' give no sensible association, rt also confirms 

 this view and shows that ' Houses ' is even lower in the scale than ' Datura.' The 

 order of 7> is the same as that of Yule's coefficient of association Q, but neither 

 Tp, Ti, C^, P or Q support the conclusions stated to flow from the percentages on 



