Menéndez Calleja, María LuisaPardo Llorente, Julio ÁngelPardo Llorente, Leandro2023-06-202023-06-2020010026-133510.1007/s001840000088https://hdl.handle.net/20.500.14352/57808In this paper we introduce a family of test statistics for testing symmetry based on phi -divergcnce families. These test statistics yield the likelihood ratio test and the Pearson test statistic as special cases. Asymptotic distribution for the new test statistics are derived under both the null and the alternative hypotheses. A simulation study is presented to see that some new test statistics offer an attractive alternative to the classical Pearson lest statistic for the problem of symmetry.engTests based on phi-divergences for bivariate symmetryjournal articlehttp://www.springerlink.com/content/urvbkbg81gmlu137/fulltext.pdfhttp://www.springerlink.comrestricted access519.234contingency tablesymmetryphi-divergence measurehypothesis testingEstadística matemática (Matemáticas)1209 Estadística