# Gage Repeatability And Reproducibility Is Commonly Referred To As Gage R&R: Measurement & Quality Systems Assignment, UCC, Ireland

Part A

Introduction

“Gage Repeatability and Reproducibility is commonly referred to as Gage R&R. It’s a method to assess the measurement system’s repeatability and reproducibility. In other words, Gage R&R studies are carried out to discover how much of the process variation is due to the measurement system” (Hessing and PV, 2016).

Objectives

• To measure stacks of end gauges for the measurement of repeatability.

Results

Discussion

The components of the variation graph indicate that the gauge R&R variation is the most significant, but all of the components contribute. There is no data out of control in the R (Range) Chart by Operator, showing that the operators tend to measure consistently. Operator A is the most accurate and precise starting off but dips and rises again at the end. Operator B had the most variation as seen by the fluctuating graph. Operator C was not too accurate but he was precise with his measurements. The deviation by part chart indicates that operator C is the most consistent with his measurements. In the deviation by operator graph operator A and C vary by similar amounts but their part averages vary by a big amount. Also its clear that operator C is the most consistent.

Conclusion

Based on the Gauge R&R study it was identified that operators A and B should receive additional training to reduce the variation of their measurements in the future. This variation could have been caused by lack of training opportunities or if the operator was a new hire.

Part B

Introduction

“The x-bar and R-chart are quality control charts used to monitor the mean and variation of a process based on samples taken in a given time. The control limits on both chats are used to monitor the mean and variation of the process going forward. If a point is out of the control limits, it indicates that the mean or variation of the process is out-of-control; assignable causes may be suspected at this point” (Salazar, 2019).

The R-chart depicts how the subgroups’ range varies over time.” R chart values or s chart values indicate that a gain or loss in dispersion has occurred. Such change might be due to worn bearings, a loose tool, an erratic flow of lubricants to a machine or sloppiness on the part of the machine operator” (SPC Control Charts: X / MR / p / np / c / u chart, 2021).

“CUSUM (cumulative sum) charts improve the ability to detect small shifts (i.e. less than 1.5σ) by charting a statistic that incorporates current and previous data values from the process. Specifically, the CUSUM chart plots the cumulative sums of the deviations of the sample values from a target value.

The inclusion of several samples in the cumulative sum results in greater sensitivity for detecting shifts or trends over the traditional Shewhart charts (Individuals or Xbar charts)”( Wachs, S., 2010)

Objectives

• To create statistical process control charts to monitor the liquid volume of a new vaccine.
• Analyse and discuss results.

Results

Discussion

The process was in control as there was no outliers or 7 consecutive points above or below centreline or 7 consecutives. According to the sample range chart, the data was consistent as most measurements were close to the target line.

Conclusion

The sample results for the new vaccine were in control which suggests a high level of accuracy.Based on those factors, no changes should be recommend for production.

February 2, 2023

February 2, 2023

February 2, 2023