486 



Journal of Agricultural Research 



Vol. IV. No. 6 



from the percentages in Table V(B) that the percentage of twins increases, 

 but there is no significant difference between the percentages of twins 

 produced by single dams whose sires are singles and by single dams 

 whose sires are twins. Further, there appears to be no significant differ- 

 ence between the percentages of twins produced by twin dams whose 

 sires are singles and by twin dams whose sires are twins. Further, Table 

 VI shows the frequencies with which maternal grandsires born in states 

 I, 2, or 3 beget offspring born in states i, 2, or 3. From this table we 

 obtain the correlation coefficient 



f = 0.0042 ±0.0073, 



which is so small that we are unable to assert the existence of any sig- 

 nificant correlation. 



Table V(A). — Correlation between offspring and maternal grandsires 



Table V(A) does not include so many records as previous tables be- 

 cause imported grandsires can not be included. 



Table V(B). — Percentages of offspring in states i, 2, and j to correspond to states 

 i-i, 1-2, 2-1, .... of the dams and maternal grandsires 



a See footnote. Table 1(B). 



