Power comparisons for goodness-of-fit-tests under local alternatives

Abstract

The bootstrap method is applied to discrete multivariate data and the power divergence family of test statistics (PDFS). For a symmetric null hypothesis against a local alternative, exact power values determined by Read and Cressie (1988:76-78) are used as a basis for a comparative power study between the AE approximation of power derived by Taneichi et al. (2002), and a bootstrap method which involves the use of newly calculated bootstrap critical values for power calculations. Also, traditional chi-square critical values are used to determine power for these hypotheses and are compared with the methods mentioned above. The study focuses on small sample sizes.