No. 641] SHORTER ARTICLES AND DISCUSSION 561 



in the minus-direction, and that the effect of each factor pair 

 is represented by 2 units, thus making up the total of 12 units 

 arbitrarily chosen by Castle. If the various permutations are 

 worked out, the F„ series of frequencies is found to be as follows : 

 TABLE I 



Distribution into Size-Classes Eesultixg from the Interplay of Six 

 Factors, 3 Positive and 3 Negative, When Dominance Is Wanting 

 AND Whkn Dominance Is Complete. 



These frequencies are exhibited i;r;t|iiiii';ill\ m Kiu: 1. i1m'ciii \ ( 

 produced by dominant factoi's licuio- it'durrd i,, th,- sainr jir^; 



It is thu. Mvi, .l.Mrl> lluit ulHMl.-., ,lo,u, p,.M,n n.'al, 



sent, therrMllll.l-rU.V. is nt tin-,,,,., .^rllM,il tM"^ 



The staiuianL <l*M.itM>i, oL' the curve with no .l.unin.iiir. 

 V3 = 14.4:5 per etait.. as Castle has stated, but when all of the 



