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相关概念视频

Multiple Regression01:25

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Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
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Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
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Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
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相关实验视频

Updated: Jul 23, 2025

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances
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一个改进的连续投影算法版本,用于多重线性回归中的变量选择.

Luciana Dos Santos Canova1, Federico Danilo Vallese2, Marcelo Fabian Pistonesi2

  • 1Instituto de Química, IQ, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves, 9500 Agronomia, 91501970, Porto Alegre, RS, Brazil.

Analytica chimica acta
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概括

过的连续预测算法 (fSPA-MLR) 通过减少无信息变量来提高多重线性回归的准确性. 这种增强的方法显示了与近红外光谱分析现有技术的可比或优越的预测性能.

关键词:
多线性回归的多线性回归.在NIR频谱测试中,部分最小正方形.连续的投影算法算法.变量选择 变量选择

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科学领域:

  • 化学测量 化学测量 化学测量
  • 分析化学 分析化学
  • 频谱学是一种光谱学.

背景情况:

  • 多重线性回归 (MLR) 模型可能会受到校准数据的对线性影响.
  • 连续预测算法 (SPA) 与MLR (SPA-MLR) 结合,是一种因良好的预测能力而闻名的变量选择方法.
  • 常规的全频谱模型,如部分最小方程 (PLS),通常用于比较.

研究的目的:

  • 引入一个修改后的SPA算法,添加了一个过步骤 (fSPA-MLR).
  • 通过在投影之前删除非信息变量来增强变量选择.
  • 为了评估fSPA-MLR在近红外 (NIR) 光谱分析中的性能.

主要方法:

  • 在SPA算法中,在投影阶段之前实现过步骤.
  • 拟议的fSPA-MLR算法应用于两个案例研究:药物片和柴油/生物柴油混合物.
  • 与PLS和原始SPA-MLR相比,fSPA-MLR性能的比较,使用各种光谱预处理技术 (原始,萨维茨基-戈莱,SNV).

主要成果:

  • 与PLS模型相比,fSPA-MLR模型实现了类似或更好的性能.
  • fSPA-MLR在交叉验证和外部预测方面表现优于原始的SPA-MLR.
  • 在不同的光谱预处理方法中,fSPA-MLR的有效性是一致的.

结论:

  • 在SPA-MLR (fSPA-MLR) 中添加过器步骤是改善变量选择和模型准确性的有效策略.
  • fSPA-MLR为PLS和原始SPA-MLR提供了一个强大的替代方案,用于NIR光谱数据分析.
  • 拟议的方法提高了预测能力,无论采用的光谱预处理技术如何.