Please enable JavaScript.
Coggle requires JavaScript to display documents.
Cluster VI: Team 4 - Coggle Diagram
Cluster VI: Team 4
GR&R Study:
What is it?
amount of variation in measurement data due to the measurement system comparing to the total variation
Gauge repeatability
Measurement of same part in same environment, same person, same tool, repeated over a short period of time
-
Formula: % variation the measuring equipment contributes to Total variation= (Repeatability variation/total variation)
Gauge reproducibility
Measurement of same part in same environment, same tool BUT with 2 or more operators
-
Formula: % variation the operator contributes to total variation= (Reproducibility variation/total variation)
-
-
Root causes of poor GR&R
Larger Repeatability
-
People
-
Physical-> tired, poor eyesight, muscle cramps
Larger Reproducibility
-> Measurement procedures not clear(e.g.how to measure?), improper training of operators in using or reading gauge, Operational definition unclear(no specific way to measure)
-
Crossed Study
Nozzle
There is significant difference among the measurements of the nozzle (p < 0.05, 0.000 < 0.05).
Possibly due to the characteristics of the nozzle that caused the operators to have different measurements.
-
-
% Contribution
Acceptable (0.80 < 1)
Suggests that most of the variation was caused by parts, not equipment or operator.
-
-
-
-
Key Aspects of MSA
Linearity
Linearity is the difference in the bias values through the expected operating range of the measurement system.
Linearity Assessment
-
It uses the linear regression model: Y = mX + C, where X is the reference value, Y id the Bias (measured value), m is the slope coefficient and C is the constant coefficient
-
-
Linearity Interpretation
From the Gage Linearity and Bias Report,The p-values for the slope and bias determines if the linearity and/or bias is significant. Hence, determines if the MSA is acceptable
Analysis Steps
Linearity
if p-value < alpha-value (0.05), linearity is significant.
if p value > alpha -value (0.05), linearity is insignificant.
Bias
if p-value < alpha -value (0.05), bias is significant.
if p-value > alpha -value (0.05), bias is insignificant.
-
Linearity Vs Bias
%Bias = 100 absolute value of mean bias / process variation)and % Linearity = 100 Linearity / Process Variation
%Bias
- Difference between the reference value and the observed average of the measurement on the same characteristic, on the same part.
- Bias indicates how accurate the gage is when compared to a reference value.
- A positive bias indicates that the gauge overestimates. A negative bias indicates that the gauge underestimates.
- The %Bias value indicates the magnitude of the bias as a %age of the process variation (usually 6 sigma).
%Linearity
- Change of bias with respect to the size
- Linearity examines how accurate your measurements are through the expected range of the measurements.
- Linearity indicates whether the gage has the same accuracy across all reference values.
- When the slope is small, the gage linearity is good.
Causes of Bias
Include error in reference value, equipment being worn out after prolong use, or equipment not being used properly by appraisal, error in readings and equipment not calibrated properly.
Ideally, bias value should be close to 0. When there is a positive bias (above 0), it means that the gage measure is high and when there is a negative bias (lower than 0), it means that the gage measure is low. Close to zero is unbiased.
Causes of Linearity
Include equipment not calibrated properly, error in reference value, equipment being worn out and the internal equipment design characteristics
The slope of the line is close to zero which indicates the linearity is low and when the slope of the line is far from zero it indicates the linearity to be high.
Gage Run Chart
-
Result interpretation
The observations indicate that the operators have similar measurements across all 9 Nozzle. Hence, we can say that the variance issue is not contributed by operators, as if their measurements are similar, it means that they both used the same procedure for measurement. Hence, variance could be mainly contributed by the difference in process of making Nozzles as all 9 Nozzles measured, give significantly different diameter values.
Used to access the variation within measurements that are made by each operator OR different operators on the Nozzle diameter
-
Nested Study
-
Steps: Transfer excel file into MINITAB -> Choose Stat -> Gage Study -> gage R&R Study (Nested) -> Complete Dialog box -> Click 'Options' -> Tick 'Draw graphs on separate groups, one graph per page' -> Click ok
Result Intepretation
p-value of Pipe & Operator Interaction = Less than 0.05. So, it is significant in contributing to variation.
Total Gage R&R value for % contribution = between 1%-9%. So, it is considered marginally acceptable.
Part-to-part value for % contribution = more than 9%. So, it is not acceptable
Look at Total Gage R&R values for %Study variance & %Tolerance. Refer to GR&R Acceptability Table to check if measurement system is acceptable, marginally acceptable or not acceptable
NDC = 7, which indicates that measurement system is acceptable
Components of Variation graph: Allows comparison between components of variations, to find out what is the main source contributing to variance.
-
-