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BELL SYSTEM TECHNICAL JOURNAL 



precision constant, and in our particular analysis the five constants 

 found in equation (10). In Table I and Fig. 1 we tabulate and 

 portray graphically twenty-one complete solutions of the example 

 based upon as many sets of values given to these constants. A wide 



TABLE I 



X = 46.90 



« = 5 



s = 2.097 



1 - .1^2 

 C5^ 



u = 



§ Errors determined by planimeter method. 



variety of a priori conditions is assumed giving, in consequence, 

 widely varying probable and 99.73 per cent errors. 



The a priori frequency functions, 0(o-), for the standard deviation 

 in the first seven cases are shown in broken lines superposed upon 

 the distributions of precision constants in Fig. 1. The scales of h 

 and <J are not to be confused, the attempt being only to represent 

 th^ form of the 4>{(j) frequency curves. 



(a) If we wish to be very conservative we might select values for 

 the unknown constants which would make all values of m and o- 



