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This repository contains an Excel data file and Minitab analysis outputs for a Gage Repeatability and Reproducibility (Gage R&R) study using the ANOVA method. It evaluates the reliability of a measurement system by analyzing variation from parts, operators, and their interactions.

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Pavk2k/Gage-R-R-Study-using-Minitab---ANOVA-Method

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Gage R&R Study - ANOVA Method (Minitab)

This project showcases a Gage Repeatability and Reproducibility (Gage R&R) study conducted using the ANOVA method via Minitab software. It includes the raw data (Excel format) and visual/statistical analysis outputs from Minitab.


πŸ“ Files and Structure

/data/02_05_LCM.xls ( Not Included )

  • Contains measurement data collected across multiple parts and operators.
  • Data is used to assess the measurement system's consistency and reliability.

/screenshots/

  • anova_table.png
    Contains the two-way ANOVA table with interaction, variance components table, and % contribution of each source of variation.

  • gage_rr_charts.png
    Composite report showing:

    • Components of variation (% contribution, study variation, % tolerance)
    • R Chart by operators
    • XΜ„ Chart by operators
    • Boxplot of measurement by parts
    • Boxplot of measurement by operators
    • Interaction plot (Parts * Operators)
  • gage_eval_probs.png
    Includes:

    • Gage evaluation table (StdDev, Study Var, %SV, %Tolerance)
    • Number of distinct categories
    • Joint and Conditional probabilities of misclassification

πŸ”¬ Key Insights

ANOVA Table

  • Parts, Operators, and Part Γ— Operator interaction are all statistically significant (p-value < 0.05).
  • Indicates differences in measurements are influenced by part variability and operator performance.

Variance Components

  • Part-to-Part variation dominates (97.02% of total variation).
  • Total Gage R&R accounts for only 2.98%, indicating the measurement system is acceptable.

Gage Evaluation

  • Study variation is 16.72%, and %Tolerance (SV/Toler) is 167.21%.
  • The measurement system has decent resolution: 8 distinct categories.

Misclassification Probabilities

  • Small chance (1.3%) that a good part is wrongly rejected.
  • Slightly lower chance (0.9%) of a bad part being wrongly accepted.

πŸ“Œ Conclusion

This Gage R&R study confirms the measurement system is acceptable with low variation due to repeatability and reproducibility. Most variation is from the parts themselves, which is ideal.


πŸ’» Software Used

  • Minitab Statistical Software
  • Excel for data organization

πŸ‘€ Author

Pavankumar Harikrishna
[Project for statistical quality analysis or similar coursework]

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This repository contains an Excel data file and Minitab analysis outputs for a Gage Repeatability and Reproducibility (Gage R&R) study using the ANOVA method. It evaluates the reliability of a measurement system by analyzing variation from parts, operators, and their interactions.

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