XVII] 



(3) Houses in course of erection in 

 Urban and Rural Districts. 



Introduction xxxv 



(4) Imbecilitii and Deaf-Mutism. 





Built 



Building 



Totals 



Urban ... 

 Rural ... 



4960 50 

 1749 12 



5010 

 1761 



1 



Totals ... 



6709 62 



6771 





Imbecile 1 Non-Imbecile 



Totals ... 



Deaf Mute 

 Non-Deaf Mute... 



451 

 48,431 



14,795 

 32,464,323 



15,246 

 32,512,754 



Totals 



48,882 



32,479,118 



32,528,000 



(5) Developmental Defects and Dullness. 





With Defects 



Without 



Totals 



Dull 

 Not-Dull ... 



888 1 1186 

 1420 i 22,793 



2074 

 24,213 



Totals 



2308 23,979 



26,287 



(^'- the mean square contingency = xjN and ^ is the product-moment coefficient 

 on the assumption that the 'presence of the character' is to be considered as 

 a concrete unit*. The coefficient of mean square contingency C\ = '^<p-/{1 +<!>-). 



The following table gives the values of x't <p', ^ and Co, and the values of F 

 deduceil. 





X= 'P' 







C2 



P 



(1) Datura 



(2) Eye-Colour 



(3) Houses 



(4) Imbecility and Deaf-Mutism 



(5) Defects and Dullness 



-7080 -085,301 

 133-3265 1 -133,327 

 1-4393 ' -000,2125 

 8014-62 1 -000,2464 

 3256-797 -123,894 



-2921 

 -3651 

 -0146 

 -0157 

 -3519 



-2803 

 -3430 

 -0146 

 -0157 

 -3320 



-8713 

 1-035/1028 



-6948 

 3-179/10"23 

 2-846/10™ 



For example, from Table XVII by Formula (i) we have for ^= = 133-3265: 



(- ,„,P) = 20-809 + ^ [,07701 - 4 C^=) ('"f ^?) ^ 



= 27-985, 

 and therefore log P = 28-015, 



which leads to P = l-035/lO-^. 



Or again; for x'= 8014-62 : 



- ,0, P = n.5.s2* . ^ [tos.e,] - , ('«?) (*--) ,000] 



= 1738-498, 



* Pearson and Heron, Biometrika, Vol. ix. p. 1(J7. 



e2 



