Performance measures of color-difference equations: correlation coefficient versus standardized residual sum of squares
Performance measures of color-difference equations: correlation coefficient versus standardized residual sum of squares
复制标题
DOI：
10.1364/josaa.28.001841
复制
发表时间：
2011-09-01
影响因子：
1.9
通讯作者：
Dekker, Niels
中科院分区：
文献类型：
--
作者：
Kirchner, Eric;Dekker, Niels
为了评估色差方程的性能，过去提出了几种拟合优度度量，如皮尔逊相关系数(R)、性能因子PF/3和最近提出的标准化残差平方和(应力)度量。压力具有其主要优势，即可以使用相关系数对性能差异进行统计测试。我们通过数学分析和具有启发性的数字例子表明，在回归分析的背景下，应力没有任何有意义的解释。此外，我们反对使用应力来评估色差方程。因此，我们建议将相关系数与图形和诊断分析结合使用，以确保与任何统计技术一样正确应用。(C)2011年美国光学学会
For evaluating the performance of color-difference equations, several goodness-of-fit measures were proposed in the past, such as Pearson's correlation coefficient (r), the performance factor PF/3, and the recently proposed standardized residual sum of squares (STRESS) measure. The STRESS shares its main advantage, which is the possibility to statistically test performance differences, with the correlation coefficient. We show, by mathematical analysis supported by instructive numerical examples, that the STRESS has no meaningful interpretation in this regression analysis context. In addition, we present objections to the use of the STRESS for evaluating color-difference equations. Therefore, we recommend using the correlation coefficient in combination with a graphical and diagnostics analysis to ensure proper application as with any statistical technique. (C) 2011 Optical Society of America