var(£ 3 ) - 24A"(^-l) 2 (^-3)- 1 (^-2)- 1 (^-3)- 1 (#-5)- 1 (14b) 



For large N use, 



var(^) = 6/N (15a) 



var(p a ) = 24/27 . (15b) 



The hypothesis to be tested is that the data sample is 

 taken from a gaussian distribution. To test the hypothesis 

 compare g to (6/N)z and g 3 to (24/#)s (see ref. 5), then 



if 



> 1. 96 reject the hypothesis at the 5 per cent level 



(6 /N)s 



> 2. 57 reject the hypothesis at the 1 per cent level. 



Similarly, for g r 



if > 1.96 reject the hypothesis at the 5 per cent level 



(24/tf)* 



> 2. 57 reject the hypothesis at the 1 per cent level. 



CHI-SQUARE "GOODNESS OF FIT" TEST 



The x 3 test will be applied to the hypothesis that a 

 sample of N individuals forms a random sample from a 

 population with a given probability distribution. The param- 

 eters of a distribution are known and are not estimated 

 from the sample itself. Later a modification will be given 

 for the situation where the parameters are estimated from 

 the sample. 



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