比率估计与回归估计抽样技术中五个非常实用的R函数

Five Very Practical R Functions in Ratio Estimation and Regression Estimation Sampling Techniques

摘要: 比率估计与回归估计是利用辅助变量信息用以提高估计精度的非常重要的抽样技术。但在文献中，还没有方便的可以用于在仅给定基本的样本数据时得出总体均值与总体总值的比率估计量与回归估计量及其标准误差和置信区间的通用的R函数(程序)。本文自编了五个通用的R函数(程序)：Compute_R_ratio()、Compute_Y_bar_Y_MR()、Compute_Y_bar_Y_ratio()、Compute_Y_bar_Y_lr()及Compute_Y_bar_Y_Rs_Rc_lrs_lrc()，它们将会为需要使用比率估计及回归估计抽样技术以提高估计精度进行实际问题分析的使用者提供极大的方便。

Abstract: Ratio estimation and regression estimation are very important sampling techniques to improve estimation accuracy by using auxiliary variable information. However, in the literature, there is no general R function (program) which can be used to obtain the ratio estimator, regression estimator, standard error and confidence interval of the population mean and total value given only basic sample data. In this paper, we have written five general R functions (programs): Compute_R_ratio(), Compute_Y_bar_Y_MR(), Compute_Y_bar_Y_ratio(), Compute_Y_bar_Y_lr(), and Compute_Y_bar_Y_Rs_Rc_lrs_lrc(). The R functions (programs) will provide a great convenience for the users who need to use ratio estimation and regression estimation sampling techniques to improve the estimation accuracy and analyze practical problems.