Testing in semiparametric models with interaction, with applications to gene-environment interactions.
Testing in semiparametric models with interaction, with applications to gene-environment interactions.
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DOI：
10.1111/j.1467-9868.2008.00671.x
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发表时间：
2009-01-01
期刊：
影响因子：
--
通讯作者：
Chatterjee N
中科院分区：
文献类型：
--
作者：
Maity A;Carroll RJ;Mammen E;Chatterjee N
出于对复杂性状的遗传效应在基因-环境相互作用的存在下进行测试的问题，我们在一般的半参数回归问题中开发了分数测试，该问题涉及Tukey风格的1自由度形式的参数化和非参数化建模协变量之间的相互作用。我们发现，在这种类型的模型，最近开发的Chatterjee和同事在全参数设置的分数测试，是有偏见的，需要欠平滑是有效的，在非参数组件的存在。此外，在存在重复结果的情况下，分数检验的渐近分布取决于被定义为积分方程的解的函数的估计，使得实现困难并且计算繁重。我们开发的轮廓得分统计是无偏的，渐近有效的，可以通过使用标准的带宽选择方法进行。此外，为了克服求解函数方程的困难，我们给出了目标函数的简单解释，这反过来又使我们能够开发出可以通过使用标准计算方法轻松实现的估计程序。我们目前的模拟研究，以评估I型错误和功率的方法相比，一个天真的测试，不考虑相互作用。最后，我们通过分析结直肠腺瘤病例对照研究的数据来说明我们的方法，该研究旨在调查结直肠腺瘤与吸烟史相关的候选基因NAT 2之间的关联。
Motivated from the problem of testing for genetic effects on complex traits in the presence of gene-environment interaction, we develop score tests in general semiparametric regression problems that involves Tukey style 1 degree-of-freedom form of interaction between parametrically and non-parametrically modelled covariates. We find that the score test in this type of model, as recently developed by Chatterjee and co-workers in the fully parametric setting, is biased and requires undersmoothing to be valid in the presence of non-parametric components. Moreover, in the presence of repeated outcomes, the asymptotic distribution of the score test depends on the estimation of functions which are defined as solutions of integral equations, making implementation difficult and computationally taxing. We develop profiled score statistics which are unbiased and asymptotically efficient and can be performed by using standard bandwidth selection methods. In addition, to overcome the difficulty of solving functional equations, we give easy interpretations of the target functions, which in turn allow us to develop estimation procedures that can be easily implemented by using standard computational methods. We present simulation studies to evaluate type I error and power of the method proposed compared with a naive test that does not consider interaction. Finally, we illustrate our methodology by analysing data from a case-control study of colorectal adenoma that was designed to investigate the association between colorectal adenoma and the candidate gene NAT2 in relation to smoking history.
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影响因子：
6.1
作者：
Horowitz, JL;Spokoiny, VG
通讯作者：
Spokoiny, VG
DOI：
10.1111/j.1467-9868.2005.00533.x
发表时间：
2006-01-01
影响因子：
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作者：
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通讯作者：
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影响因子：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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