JoHs. Schmidt • 65 



We are now prepared to test our theory by comparing the theoreti- 

 cal values with those obtained by examination of the offspring. By 

 introducing the generative values above calculated into the expressions 



x + a x + h . . , , , . , 



— 2~ ' ~o~ ' ^^^' ^^^ arrive at a theoretical value which we want to 



compare with the average observed in the offspring. The results are 

 contained in Table II. 



TABLE II. 

 Compai'ison of Observed and Calculated Values in the Offsprimj^. 



It will be seen that the agreement between the observed and the 

 calculated values is extremely good, also when it is kept in mind that 

 we have had 6 — that is 7 minus 1 — values of which to dispose freely for 

 calculating the theoretical values. The theory does thus obtain the 

 utmost support obtainable from these experiments. 



In Table III are given the personal values of the 7 trout together 

 with their generative values calculated above from the investigation of 

 the offspring. As will be remembered, they were determined on the 

 supposition that all the individuals were referred to environmental con- 

 ditions under which the genotype y realizes 60 vertebrae. 



TABLE III. 

 The Personal and the Generative Values of tlie 7 Experimental Trout. 



Personal Generative 

 Symbols Values Values 



X 59 59-54 



?/ 60 60 (assumed) 



z 59 58-57 



a 61 62-72 



b 59 58-47 



57 57-15 



58 58-54 



Journ. of Gen. ix 



