132 NATURAL INHERITANCE. [CHAP. 



R.F.F. series without revising all, as they hang together 

 and support one another. 



General View of Kinship. We are now able to deal 

 with the distribution of statures among the Kinsmen in 

 every near degree, of persons whose statures we know, 

 but whose ancestral statures we either do not know, or 

 do not care to take into account. We are able to calcu- 

 late Tables for every near degree of Kinship on the form 

 of Table 11, and to reconstruct that same Table in a 

 shape free from irregularities. We must first find the 

 Regression, which we may call w, appropriate to the 

 degree of Kinship in question. Then we calculate a 

 value f for each line of a Table corresponding in form to 

 that of Table 11, in which f was found to be equal to 

 1*50 inch. We deduce the value of f from that of w by 

 means of the general equation p 2 w 2 +f 2 =p 2 , p being 

 equal to 17 inch. The values to be inserted in the 

 several lines are then calculated from the ordinary table 

 (Table 5) of the " probability integral." 



As an example of the first part of the process, let us 

 suppose we are about to construct a table of Uncles and 

 their Nephews, we find w and f as follows : A Nephew 

 is the son of a Brother, therefore in this case we have 

 w=^x% = % ; whence f=l'6Q. 



The Regression, which we call w, is a convenient and 

 correct measure of family likeness. If the resemblance 

 of the Kinsman to the Man, was on the average as 

 perfect as that of the Man to his own Self, there would 

 be no Regression at all, and the value of iv would be 1. 



