# Six Sigma

Essay by   •  January 31, 2018  •  Presentation or Speech  •  366 Words (2 Pages)  •  451 Views

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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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