Hatai, Spinal Ganglion Cells of Rat. 



487 



Applying this formula it was found that 



C= .1164 ± .0135 



Thus the difference is certainly significant and data demand a 

 non-linear characteristic equation. I have applied Pearson's 

 method of parabola ('04, '05) to the present data and obtained 

 very satisfactory results as will be seen later. The general formula 

 of parabolas of any order is as follows: 



I 



J 



where / is a half range of variates and s^ are the constants to be 

 determined from the observed data. I found that for the present 



J i 



9 " 13 15 17 i<) 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 /t 



Fig. 4. Probable diameter of the nucleus for given diameter of the cell-body. 

 observed; , calculated. 



data the parabola of the second order makes a very close fit to the 

 observed means of the arrays. The smooth curve in Fig. 4, 

 where the observed and calculated results are graphically repre- 

 sented, was plotted from the following equation: 



y= 12. 



.2939 I 1.0252 + .3564 (^ j - .0758 Qj 



