绝对偏倚计算器

Absolute Bias Calculator

Compute absolute bias as x − x_ref from a measured value and the reference standard value to evaluate measurement system deviation.

📐 计算公式
绝对偏倚 = 测量值 x − 参考值 x_ref;相对偏倚% = 偏倚 ÷ max(x_ref, 1e−12) × 100;测量参考比 = x ÷ x_ref;绝对值 = |偏倚|。校验:两项数值输入无强校验,分母以 1e−12 兜底防除零。判据:正偏倚示值偏高、负偏低;|偏倚| 越小准确度越好,需对照允差限判定。

输入测得值与参考标准值,求绝对偏倚。

Formula & Standard References

Item Formula / Note Source / Standard
Bias Bias = xbar - x_ref, the difference between the mean measured value and the reference ISO 5725-1:1994, Accuracy (trueness and precision) of measurement methods and results - Part 1
Relation to trueness Bias quantifies trueness: smaller bias means better trueness ISO 5725-1:1994, Accuracy (trueness and precision) of measurement methods
Vocabulary source Definitions of bias and measurement error follow the international metrology vocabulary JCGM 200:2012, International Vocabulary of Metrology (VIM)
Correction A known bias can be compensated by applying a correction of opposite sign JCGM 200:2012, International Vocabulary of Metrology (VIM)
📌 计算说明
  • 偏倚反映系统误差方向。
  • 10.2−10.0 → 0.2。

📚 深度解析:绝对偏倚

💡 常见使用场景

公式
bias = mean(测量值) - 参考值(真值)。例:参考 10.000 mm,10 次均值 10.015,bias = +0.015 mm。
测得值 20.35,参考值 20
Bias=x−x_ref=20.35−20=0.350。正值说明测量值系统性偏高,做修正时应从后续读数中减去这一量。

❓ 常见问题(FAQ)

偏倚与误差?
偏倚是重复测量的系统误差平均,反映量具整体偏移。
如何修正?
校准时减去偏倚或建立修正曲线使用。