doi:10.1155/2008/463781 Research Article Tests of Fit for the Logarithmic Distribution

Smooth tests for the logarithmic distribution are compared with three tests: the first is a test due to Epps and is based on a probability generating function, the second is the Anderson-Darling test, and the third is due to Klar and is based on the empirical integrated distribution function. These tests all have substantially better power than the traditional Pearson-Fisher X2 test of fit for the log-arithmic. These traditional chi-squared tests are the only logarithmic tests of fit commonly applied by ecologists and other scientists. Copyright q 2008 D. J. Best et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1