## 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 |

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### 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) |