Published In : IJCAT Journal Volume 1, Issue 8

Date of Publication : 30 September 2014

Pages : 427 - 431

Figures :--

Tables : 02

Publication Link : A Note on the Approximation of Empirical Critical Values - An Application to Tests of Exponentiality

 

 

 

Mbanefo Madukaife : Department of Statistics, University of Nigeria, Nsukka Nsukka, Enugu State, Nigeria

 

 

 

 

 

 

 

Empirical Critical Value

Goodness - of - Fit Test

Monte Carlo Simulation

Test for Exponentiality

Type – I – Error

Type – II – Error

The exact critical values for a standard normal distribution, which the tests, * n CO , * n G , and n EP , set to approximate are presented in table 1 for different levels of significance while the corresponding empirical critical values for sample sizes n =20, 30, 50 and n = 100 are presented in table 2. It is well known that an appreciation of the critical value of a test beyond the expected (exact critical value) gives room for a wrong null hypothesis to be accepted, (type – II – error) while a depreciation of the critical value beyond the expected tends to allow rejection of a null hypothesis which is right, (type – I – error).

 

 

 

 

 

 

 

 

 

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