vx_dbel swMATH ID: 37455 Software Authors: Albert Vexler, Hovig Tanajian, Alan D. Hutson Description: Stata command vx_dbel: Density-Based Empirical Likelihood Procedures for Testing Symmetry of Data Distributions and K-Sample Comparisons. In practice, parametric likelihood-ratio techniques are powerful statistical tools. In this article, we propose and examine novel and simple distribution-free test statistics that efficiently approximate parametric likelihood ratios to analyze and compare distributions of K groups of observations. Using the density-based empirical likelihood methodology, we develop a Stata package that applies to a test for symmetry of data distributions and compares K-sample distributions. Recognizing that recent statistical software packages do not sufficiently address K-sample nonparametric comparisons of data distributions, we propose a new Stata command, vxdbel, to execute exact density-based empirical likelihood-ratio tests using K samples. To calculate p-values of the proposed tests, we use the following methods: 1) a classical technique based on Monte Carlo p-value evaluations; 2) an interpolation technique based on tabulated critical values; and 3) a new hybrid technique that combines methods 1 and 2. The third, cutting-edge method is shown to be very efficient in the context of exact-test p-value computations. This Bayesian-type method considers tabulated critical values as prior information and Monte Carlo generations of test statistic values as data used to depict the likelihood function. In this case, a nonparametric Bayesian method is proposed to compute critical values of exact tests Homepage: https://sphhp.buffalo.edu/content/dam/sphhp/biostatistics/Documents/Publications/vx_dbel_command_Rev2S.pdf Dependencies: Stata Related Software: dbEmpLikeNorm; Stata; dbEmpLikeGOF; tsc; R Cited in: 4 Publications all top 5 Cited by 6 Authors 3 Noughabi, Hadi Alizadeh 2 Vexler, Albert 1 Hutson, Alan David 1 Kim, Youngmin 1 Lazar, Nicole A. 1 Yu, Jihnhee Cited in 3 Serials 2 Journal of Applied Statistics 1 Scandinavian Journal of Statistics 1 Journal of Mahani Mathematical Research Center Cited in 1 Field 4 Statistics (62-XX) Citations by Year