再现性 σ_o

Gauge Reproducibility Calculator

Compute reproducibility σ_o from the range of operator averages divided by the d₂* coefficient to quantify operator-to-operator variation.

📐 计算公式
量具再现性(极差法):σ_o = R ÷ d₂*;d₂* 按评价人数查表——2 人 1.128、3 人 1.693、4 人 2.059,表外回落 1.693;6σ 扩展 = R ÷ d₂* × 6。校验:无强校验,空值按 0 兜底。判据:无固定分级,σ_o 越小人员间再现性越好。

再现性 = 操作者均值极差 / d₂*。

Formula & Standard References

Item Formula / Note Source / Standard
Definition of reproducibility Variation between different operators, gauges or laboratories measuring the same characteristic AIAG, Measurement Systems Analysis (MSA) Reference Manual, 4th ed. (2010)
Range-method estimate AV = sqrt( (Rbar_o · K2)^2 - EV^2/(n · r) ), with K2 a constant and r trials per part AIAG, Measurement Systems Analysis (MSA) Reference Manual, 4th ed. (2010)
Standard vocabulary ISO 5725 defines reproducibility as the closeness of results under changed conditions ISO 5725-1:1994, Accuracy (trueness and precision) of measurement methods - Part 1
Combination into GRR GRR = sqrt(EV^2 + AV^2), with appraiser variation contributing to AV AIAG, Measurement Systems Analysis (MSA) Reference Manual, 4th ed. (2010)
📌 计算说明
  • 反映人员间系统差。
  • 需大于重复性方有意义。

📚 深度解析:量具再现性

💡 常见使用场景

公式
AV = sqrt((XbarDiff*K2)^2 - EV^2/(n*r))。例:操作员均值差 0.005、K2=0.5231,AV≈0.0021。
操作者均值极差 0.06,操作者数 2
查 d₂*=1.128,σ_o=0.06/1.128=0.0532。再现性反映人与人之间的差异,通常需通过统一作业指导书来降低。

❓ 常见问题(FAQ)

与人有关?
是,反映培训/手法差异。
改进?
标准化操作、夹具化、加强培训。