| 函数曲线之间符合程度的评价 |
| |
| 引用本文： | 尉志武,苑龙水.函数曲线之间符合程度的评价[J].计算机与应用化学,2001,18(2):102-104. |
| |
| 作者姓名： | 尉志武 苑龙水 |
| |
| 作者单位： | 清华大学化学系, |
| |
| 基金项目： | 国家自然科学基金资助项目!(编号 :2 9973 0 19) |
| |
| 摘 要： | 在科学实验及理论研究中常常需要对某一函数在一定自变量范围内的不同来源的数据进行比较与评价，本文提出了一种比较实验曲线或理论曲线间符合程度的方法－－积分法；对于多项式和Redlich-Kister方程形式的曲线推出了标准偏差计算公式，选取不同文献来源的环己烷－苯体系超额体积实验值，对它们在全浓度范围内的总体符合程度进行了评价。
|
| 关 键 词： | 数据分析 曲线比较 多项式回归 Redlich－Kister方程 函数曲线 积分法 化学实验 化工实验 |
| 文章编号： | 1001-4160(2001)02-102-104 |
| 修稿时间： | 2000年8月4日 |
Evaluation of the Overall Deviation Between Curves |
| |
| YU Zhi-wu,YUAN Long-shui.Evaluation of the Overall Deviation Between Curves[J].Computers and Applied Chemistry,2001,18(2):102-104. |
| |
| Authors: | YU Zhi-wu YUAN Long-shui |
| |
| Abstract: | A new method, the integration method, is suggested in this communication to evaluate the overall deviation between different curves as shown below:
σ2=(1)(b-a)∫ba［f1(x)-f2(x)］+2dx
Formulas have been derived for functions in the forms of polynomial and Redlich-Kister equation. As an example, experimental excess volumes from a variety of sources are used to perform the evaluation of their mutual consistence over the entire mole fraction range. Not restricted by the polynomial and the R-K equation, the suggested method can be used universally in all forms of functions and within any range of concentration, temperature, or other concerned variables. |
| |
| Keywords: | data analysis curve comparison Redlich\|Kister equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
