# GRR 分析報告範例

這是 GRR 分析報告的一個範例。以圖表配合解說，讓使用者更輕鬆的的解讀 GRR 測試的結果以做出更正確的判斷。

使用的工具和方法參考GRR分析應用工具和如何解讀 GRR 分析結果。

## GRR summary

! %GRR = 22.1 :

The measurement system is potentially acceptable.

✓ Number of distinct categories = 6 :

The measurement system can distinguish between parts.

𝒾 Repeatability contributes 54.8% of GRR variance, and reproducibility contributes 45.2%.

✗ Effect of operators is significant, with p-value of ANOVA = 0.

Operator contributes 45.2% of GRR variance.

✓ There is no interaction between operators and parts.

𝒾 Number of operators = 3, Number of trials = 3, Number of parts = 9

Variance | Std. Dev. | Study Var. | % Study Var. | % Contribution | % Tolerance | |
---|---|---|---|---|---|---|

Total R&R | 5.014 | 2.239 | 13.436 | 22.1 | 4.9 | 20.4 |

Repeatability | 2.746 | 1.657 | 9.943 | 16.3 | 2.7 | 15.1 |

Reproducibility | 2.268 | 1.506 | 9.036 | 14.8 | 2.2 | 13.7 |

Part | 97.879 | 9.893 | 59.360 | 97.5 | 95.1 | 89.9 |

Total Variation | 102.893 | 10.144 | 60.862 | 100.0 | 100.0 | 92.2 |

## X̄-R chart

! X̄ chart of this GRR test has 67% of data points out of control. That means the measurement system can but not well detect the parts variation.

✓ R chart of this GRR test has 100% data points inside control limits. The measurement system has good consistency.

## Measurement by operators

✗ Operators measuring the parts similiarly: No.

P-value of ANOVA (comparing mean) = 0.

✓ Operators’ measurement have the same variation: Yes.

P-value of Levene’s test (comparing variance) = 1.

## Interaction of operator by part

✓ No interaction between operators and parts: Yes.

P-value of ANOVA = 1.

## Measurement by parts

✓ Parts are measured with the same variation: Yes.

P-value of Levene’s test (comparing variance) = 0.161.

## ANOVA

Df | Sum Sq | Mean Sq | F value | Pr(>F) | |
---|---|---|---|---|---|

Operator | 2 | 127.963 | 63.981 | 23.298 | 0 |

Part | 8 | 7069.268 | 883.659 | 321.766 | 0 |

Residuals | 70 | 192.240 | 2.746 |