依赖型广义函数线性模型

Dependent generalized functional linear models

Biometrika · 2017
被引 7
ABS 4

中文导读

本文提出一种检验函数型协变量对多元响应变量有无影响的方法,使用广义估计方程估计参数并建立联合渐近正态性,模拟和基因数据应用验证了方法的有效性。

Abstract

This paper considers testing for no effect of functional covariates on response variables in multivariate regression. We use generalized estimating equations to determine the underlying parameters and establish their joint asymptotic normality. This is then used to test the significance of the effect of predictors on the vector of response variables. Simulations demonstrate the importance of considering existing correlation structures in the data. To explore the effect of treating genetic data as a function, we perform a simulation study using gene sequencing data and find that the performance of our test is comparable to that of another popular method used in sequencing studies. We present simulations to explore the behaviour of our test under varying sample size, cluster size and dimension of the parameter to be estimated, and an application where we are able to confirm known associations between nicotine dependence and neuronal nicotinic acetylcholine receptor subunit genes.

多元回归函数型数据广义估计方程基因测序渐近正态性