On the efficiency of score tests for homogeneity in two-component parametric models for discrete data.
On the efficiency of score tests for homogeneity in two-component parametric models for discrete data.
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DOI：
10.1111/j.1541-0420.2011.01737.x
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发表时间：
2012-09
期刊：
影响因子：
1.9
通讯作者：
Kim K
中科院分区：
文献类型：
--
作者：
Todem D;Hsu WW;Kim K
在离散数据的双组分混合模型（如零膨胀模型）的许多应用中，常常需要对混合权重进行推断。从允许负混合权重的边际模型导出的分数检验对于这一目的特别有用。但现有的检验方法往往依赖于混合权重的恒定性等限制性假设，而忽略了边际模型的结构约束。在这篇文章中，我们开发了一个得分测试的同质性，克服了现有的程序的局限性。该技术是基于一个分解的混合权重项，有一个明显的统计解释。我们利用这种分解来奠定测试的基础。仿真结果表明，提出的协变量调整的检验统计量可以大大提高效率基于固定的混合权重的检验统计量。龋齿研究中的一个现实生活中的例子来说明的方法。
In many applications of two-component mixture models for discrete data such as zero-inflated models, it is often of interest to conduct inferences for the mixing weights. Score tests derived from the marginal model that allows for negative mixing weights have been particularly useful for this purpose. But the existing testing procedures often rely on restrictive assumptions such as the constancy of the mixing weights and typically ignore the structural constraints of the marginal model. In this article, we develop a score test of homogeneity that overcomes the limitations of existing procedures. The technique is based on a decomposition of the mixing weights into terms that have an obvious statistical interpretation. We exploit this decomposition to lay the foundation of the test. Simulation results show that the proposed covariate-adjusted test statistic can greatly improve the efficiency over test statistics based on constant mixing weights. A real-life example in dental caries research is used to illustrate the methodology.
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DOI：
10.1111/j.1600-0528.2004.00155.x
发表时间：
2004-06-01
影响因子：
2.3
作者：
Lewsey, JD;Thomson, WM
通讯作者：
Thomson, WM
影响因子：
2
作者：
Xiang, Liming;Lee, Andy H.;McLachlan, Geoffrey J.
通讯作者：
McLachlan, Geoffrey J.
影响因子：
1.7
作者：
HEILBRON, DC
通讯作者：
HEILBRON, DC
影响因子：
1.9
作者：
Ridout, M;Hinde, J;Demétrio, CGB
通讯作者：
Demétrio, CGB
影响因子：
6.3
作者：
MULLAHY, J
通讯作者：
MULLAHY, J