CCX1V 



Tables for Statisticians and Biometricians 



[XLIV 



On the other hand, taking the ratios 

 ^2 



and 

 we find 



while 



or, the ratios become stable with the 7th to llth differences, the average of the 

 last five of the first column is T0154, and of the last six entries of the second 

 column is T0205. 



Supposing all three quantities stabilised at the 8th value of ??, .we have 



4 



= 3778, 



and from the mean values of p and p 2 



" 2 A 9 /A " 2 A 9 7 



--= * = 3-836, =-^ = 3-855, 



" 



hence 



(A 9 /A 9 / T ) -552 

 = T 552 



x 3 ' 855 = 



the e's corresponding to these values are 



to 3'836 to 3-855 to 3'845 



e' = - '4323, e" = - '5243, e = - '4778 *. 



These represent the law of decadence equivalent to the actual correlations in their 

 influence on the ratios. We have from our Table the following values for the 

 function 2< (n, e) 1 : 



e' e" e 



2-072,885, 2-402,779, 2-229,259. 



* The reader must remember that while ' and e" and their powers are true correlations, e is not, it 

 and its powers must first be multiplied by p , i.e. in the present case p e = '552 x - -4778= - -2637, and 

 this is the correlation of X and Fi . 



