The Degree of Accuracy of Statistical Data 3 



Putting- /3i=— , and /?2=^, we find: 



f3i=.S=,6 and ;8,.=4. 182; 

 whence the critical function 



3/?l— 2/32 + 6=. 203>0, 



and the equation of the theoretical frequency curve takes the 

 form 





As the formulae used in determining the constants in the above 

 equation are the best argument for excessive accuracy, I shall 

 give them. 



r= 



3/8i-2i8o+6 



"4+i<;Si(r+2)V(r+i) 



3^^/- l;gi(^'+2)Hi6(r+i)P 



2 

 m\^>?i\ — I and vi-j-^ni'l — i 



where m\ and wi are the roots of w'"- — rm'-\-e-=iO. 



, a\ vi\ 



ai+a2=p and — = — 



ai 7)1-2 



-'" A / 



^ 1^27r;//iW2 



a=the number of cases. 



Skewness=3^ VWi—-^=-4- 

 ^ r — 2 



d=V~ii2 A. 



89 



