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Six Sigma

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Graph 1 : Components of Variation : This graph indicates the components of variation in the measurement of the 10 parts by 3 operators and 3 trials for each operator. When we consider the gage R&R variation , the variation due to study is more than the variation due to the actual part lengths.  More variation is due to part to part and percentage of study variance is around 25%.

Graph 2 : Values by Parts : This graph indicates the various measured values based on the part that we want to analyze. This can be used to analyze the precision and accuracy of measurement

Graph 3 : R chart by operators : This Indicates that the measured values are within the range the Upper and Lower Control limit and it also shows the amount of variation by an operator based on the part number that he is measuring. None of the points are beyond the control limits hence the operator is consistently measuring the parts.

Graph 4: Values by operator : It shows a box plot of the measured values and it can be used to find out Outliers if any

Graph 5 : X bar chart : Many points are above or below the control limits which indicate part to part variation are much greater than measuring devise variation

Graph 6: Lines are virtually identical so operators are measuring the parts identically and similarly.

Gage Run Chart of Values

Gage Run Chart of Values

Gage R&R Study - ANOVA Method

Two-Way ANOVA Table With Interaction

Source

DF

SS

MS

F

P

Parts

9

6185.79

687.310

173.487

0.000

Operators

2

6.47

3.233

0.816

0.458

Parts * Operators

18

71.31

3.962

1.356

0.188

Repeatability

60

175.33

2.922

 

 

Total

89

6438.90

 

 

 

α to remove interaction term = 0.05

Two-Way ANOVA Table Without Interaction

Source

DF

SS

MS

F

P

Parts

9

6185.79

687.310

217.358

0.000

Operators

2

6.47

3.233

1.023

0.364

Repeatability

78

246.64

3.162

 

 

Total

89

6438.90

 

 

 

Gage R&R

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