摘要
在回归分析中,有必要讨论同时顾及自变量和因变量误差的回归计算。在总体最小二乘原则下,从公式上导出了3种解算方法,为条件平差、间接平差和两步解算算法。通过矩阵运算,从理论上证明了3种解算算法的等价性,可保证解算结果的一致性。
In regression analysis,there is a need to discuss taking into account the independent variables and the dependent variable error of the regression calculation. In the total least-squares principle, this paper is derived from the formula of the three kinds of solution method for the condition of adjustment ,indirect adjustment and two-step solution algorithm. It is proved that three kinds of equivalence solution algorithm in theory using the matrix operations, so that can guarantee the consistency of the results of solution.
出处
《江西科学》
2009年第6期867-870,共4页
Jiangxi Science
基金
国家自然科学基金项目(40874010
40574008)
江西省自然科学基金项目
江西省科技支撑项目
关键词
双变量
整体最小二乘
算法
等价性
Bi-variables ,Total least squares, Algorithm, Equivalence
