| Abstract: | Since Rao introduced the Quadratic Entropy (QE) in 1982, results on mathematical and statistical properties of the QE and its applications in data analysis and population indices have been published in the literature. In this paper, we study the asymptotic efficiency of the analysis of Rao's quadratic entropy (ANOQE) which is a generalization of the classical analysis of variance (ANOVA). Based on the results of Liu and Rao 1] Liu, Z. J. and Rao, C. R. 1995. Asymptotic distribution of statistics based on quadratic entropy and bootstrapping. JSPI, 43: 1–18. Google Scholar]and Liu 2] Liu, Z. J. 1991. Bootstrapping one way analysis of Rao's quadratic entropy. Comm. Statist., 20: 1683–1702. Google Scholar]on asymptotic distribution and the bootstrap of the ANOQE, we derive the Bahadur's asymptotic efficiency of the ANOQE and compare efficiency of ANOQE tests based on different QE's. |
