Testing for normality with the Kolmogorov-Smirnov test
Testing for normality with Kolmogoroff-Smirnoff test
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Testing for normality with Kolmogoroff-Smirnoff test
Simulation tests were carried out to compare the power of the Kolmogoroff-Smirnoff and Z tests for the exponential distribution against a wide range of alternative distributions. The results indicate that both tests should be used for applications for which detailed knowledge regarding the possible classes of alternative distributions is lacking.
A report is given to supplement the progress report of June 17, 1977. In that progress report gamma, lognormal, and Rayleigh probability density functions were fitted to the times between lightning flashes in the storms of 9/12/75, 8/26/75, and 7/13/76 by the maximum likelihood method. The goodness of fit is checked by the Kolmogoroff-Smirnoff test. Plots of the estimated densities along with normalized histograms are included to provide a visual check on the goodness of fit. The lognormal densities are the most peaked and have the highest tails. This results in the best fit to the normalized histogram in most cases. The Rayleigh densities have too broad and rounded peaks to give good fits. In addition, they have the lowest tails. The gamma densities fall inbetween and give the best fit in a few cases.
Bivariate goodness-of-fit test, similar to Kolmogoroff-Smirnoff univariate test for estimating error and erasure probability of indicator channel - information processing