We introduce a newly developed R package AZIAD for analyzing zero-inflated or zero-altered data. Compared with existing R packages, AZIAD covers a much larger class of zero-inflated and hurdle models, including both discrete and continuous cases. It provides more accurate parameter estimates, along with the corresponding Fisher information matrix and confidence intervals. It achieves significantly larger power for model identification and selection. To facilitate the potential users, in this paper we provide detailed formulae and theoretical justifications for AZIAD, as well as new theoretical results on zero-inflated and zero-altered models. We use simulation studies to show the advantages of AZIAD functions over existing R packages and provide real data examples and executable R code to illustrate how to use our package for sparse data analysis and model selection.
翻译:我们介绍了一个新开发的R包AZIAD,用于分析零膨胀或零调整数据。与现有的R包相比,AZIAD覆盖了更大范围的零膨胀和障碍模型,包括离散和连续情况。它提供更准确的参数估计,以及相应的Fisher信息矩阵和置信区间。它实现了更大的模型识别和选择能力。为方便潜在用户,本文提供了AZIAD的详细公式和理论证明,以及关于零膨胀和零调整模型的新理论结果。我们使用模拟研究来展示AZIAD函数优于现有R包的优点,并提供实际数据示例和可执行的R代码,以说明如何使用我们的软件包进行稀疏数据分析和模型选择。