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首页> 外文期刊>Sonklanakarin Journal of Science and Technology >Least-MSE calibration procedures for corrections of measurement and misclassification errors in generalized linear models
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Least-MSE calibration procedures for corrections of measurement and misclassification errors in generalized linear models

机译:用于校正广义线性模型中的测量和错误分类误差的最小MSE校准程序

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The analyses of clinical and epidemiologic studies are often based on some kind of regression analysis, mainly linear regression and logistic models. These analyses are often affected by the fact that one or more of the predictors are measured with error. The error in the predictors is also known to bias the estimates and hypothesis testing results. One of the procedures frequently used to handle such problem in order to reduce the measurement errors is the method of regression calibration for predicting the continuous covariate. The idea is to predict the true value of error-prone predictor from the observed data, then to use the predicted value for the analyses. In this research we develop four calibration procedures, namely probit, comple- mentary log-log, logit, and logistic calibration procedures for corrections of the measurement error and/or the misclassifica- tion error to predict the true values for the misclassification explanatory variables used in generalized linear models. The processes give the predicted true values of a binary explanatory variable using the calibration techniques then use these predicted values to fit the three models such that the probit, the complementary log-log, and the logit models under the binary response. All of which are investigated by considering the mean square error (MSE) in 1,000 simulation studies in each case of the known parameters and conditions. The results show that the proposed working calibration techniques that can perform adequately well are the probit, logistic, and logit calibration procedures. Both the probit calibration procedure and the probit model are superior to the logistic and logit calibrations due to the smallest MSE. Furthermore, the probit model-parameter estimates also improve the effects of the misclassification explanatory variable. Only the complementary log-log model and its calibration technique are appropriate when measurement error is moderate and sample size is high.
机译:临床和流行病学研究的分析通常基于某种回归分析,主要是线性回归和物流模型。这些分析通常受到一个或多个预测器的误差的影响。预测器中的错误也被称为偏置估计和假设检测结果。通常用于处理此类问题以减少测量误差的过程之一是回归校准的方法,用于预测连续变性。该想法是从观察到的数据预测错误易于预测器的真实值,然后使用预测值进行分析。在本研究中,我们开发了四个校准程序,即概率,压缩记录日志,Logit和Logistic校准程序,用于测量误差和/或错误分类错误以预测使用的错误分类解释变量的真实值在广义线性模型中。该过程使用校准技术给出二进制解释变量的预测真正值,然后使用这些预测值来适合三个模型,使得探测,互补日志和在二进制响应下的Logit模型。通过考虑在已知参数和条件的每种情况下,通过考虑1,000个模拟研究中的均线误差(MSE)来研究所有这些。结果表明,建议的工作校准技术可以充分开发,是探测,逻辑和Logit校准程序。概率校准程序和探测模型都优于逻辑和Logit校准,因为最小的MSE。此外,探测模型参数估计还提高了错误分类解释性变量的效果。只有互补的日志模型及其校准技术是适当的,当测量误差适中时,样本大小高。

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