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Goodness of fit test for general linear model with nonignorable missing on response variable
AStA Advances in Statistical Analysis ( IF 1.4 ) Pub Date : 2020-05-05 , DOI: 10.1007/s10182-020-00367-4
Fayyaz Bahari , Safar Parsi , Mojtaba Ganjali

In this paper, we consider a general linear model where missing data occur in the response variable with a nonignorable mechanism. Also, to deal with missing data, we assume that the probability of missing data follows a logistic model. The main purpose of this paper is to construct some test functions to check the goodness of fit of the general linear model based on the score-type test. To achieve this aim, we use two appropriate estimating models and we construct two test functions based on these models. The asymptotic properties of the test functions are obtained under the null and the alternative hypotheses based on the estimated tilting parameter. The performances of the test functions are checked by some simulation studies. Also, these methods are used to check goodness of fit of the fitted models for real data.



中文翻译:

响应变量不可忽略的一般线性模型的拟合优度检验

在本文中,我们考虑了一个通用线性模型,其中具有不可忽略机制的响应变量中出现缺失数据。同样,为了处理丢失的数据,我们假设丢失数据的概率遵循逻辑模型。本文的主要目的是构造一些测试函数,以基于得分型检验来检查通用线性模型的拟合优度。为了达到这个目的,我们使用两个合适的估计模型,并基于这些模型构造两个测试函数。测试函数的渐近性质是根据​​估计的倾斜参数在零值和替代假设下获得的。测试功能的性能通过一些仿真研究进行检查。此外,这些方法还用于检查拟合模型对真实数据的拟合优度。

更新日期:2020-05-05
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