Department of Statistics and Applied Probability, National University of Singapore, Singapore.
Stat Med. 2011 Jul 20;30(16):2015-27. doi: 10.1002/sim.4233. Epub 2011 Apr 5.
To study significant predictors of condom use in HIV-infected adults, we propose the use of generalized partially linear models and develop a variable selection procedure incorporating a least squares approximation. Local polynomial regression and spline smoothing techniques are used to estimate the baseline nonparametric function. The asymptotic normality of the resulting estimate is established. We further demonstrate that, with the proper choice of the penalty functions and the regularization parameter, the resulting estimate performs as well as an oracle procedure. Finite sample performance of the proposed inference procedure is assessed by Monte Carlo simulation studies. An application to assess condom use by HIV-infected patients gains some interesting results, which cannot be obtained when an ordinary logistic model is used.
为了研究 HIV 感染者使用避孕套的显著预测因素，我们提出使用广义部分线性模型，并开发了一种包含最小二乘逼近的变量选择程序。局部多项式回归和样条平滑技术用于估计基线非参数函数。建立了所得估计量的渐近正态性。我们进一步证明，通过适当选择惩罚函数和正则化参数，所得估计量的性能与 oracle 过程一样好。通过蒙特卡罗模拟研究评估了所提出的推断程序的有限样本性能。对 HIV 感染者使用避孕套的情况进行应用评估，得出了一些有趣的结果，而当使用普通逻辑回归模型时，这些结果是无法得到的。
