cxcii Tables for Statisticians and Biometriciam [XXXVIII XLI 



Should it be impossible to select a satisfactory value of q from Table XXXVIII, 

 it will usually denote that the curve is non-asymptotic, but occasionally it may be 

 due to an erroneous assumption as to the position of the asymptote. As a rule it 

 will be adequate to select an approximate value of q and not necessary to obtain 

 the exact w e ' by elaborate interpolation into Table XXXVIII. 



If notwithstanding first impressions as to the existence of an asymptote we 

 find no suitable value of q, then we must have recourse to the non- asymptotic 

 abruptness formulae*. It may shorten the computer's labours to place them here. 

 The diagram representing doubly abrupt terminals at X Q and x v with p subranges 

 is given below : 



The formulae for the first six moment-coefficients about the start, X = X Q , of the 

 total range are : 



/V = V! r + (^ K - ^ a.' + WjcrO + TV (V - ?iV V + *&* V)} .................. (vii). 



i vi + {- 4V (i' 



*j>(V- : Tfc 



\ v 2 f + &s + iiie 



t "3' + &"l' + 



T!^ ( V - iW) - 



- H 7 o 04') - rk W ~ A V) - TO^ (V ~ ife V + lio V) 



^ + ^VoV)} ........................... (X). 



' + ^05') + rfy (V - 7 o V + 7^ V) 



- irW + ^-o V) + I-V? 3 ( V - ii V) 



- 4 ? V + db V) - 



- ^^ + ,i ff V) 



These are in working units, i.e. the subrange h is taken as unity, 

 * Pairmaii and Pearson, Biometrika, Vol. xn. pp. 233, 239. 



