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Using this presentation:. Slide #2 – Zooming Presentation Slide #2 contains an embedded zooming slideshow – 3 things to make it work 1) You’ll need an internet connection 2) You’ll need Flash for Internet Explorer – usually installed by default
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Using this presentation: • Slide #2 – Zooming Presentation • Slide #2 contains an embedded zooming slideshow – 3 things to make it work • 1) You’ll need an internet connection • 2) You’ll need Flash for Internet Explorer – usually installed by default • 3) And: You may get a security warning about using active content, in which case “Enable Content” • The zooming slideshow will only play when PowerPoint is in “Slide Show Mode” • Click this button – bottom right corner - to get Slide Show Mode, and wait for the content to load • Slide #2 – YouTube Video • Slide #3 contains an linked YouTube Video – To play this you need an internet connection, and you’ll need to go to Slide Show Mode, wait for the movie to load (may take some time) and then click on the movie to play it. • NOTE: If you cannot connect to the internet through PowerPoint go directly to these links in your web browser: • Zooming Presentation Available Here: • http://prezi.com/-sxorzwzdzp8/what-is-measurement-system-analysis/ • “What is Measurement System Analysis?” Full Video Available Here: • http://youtu.be/eXHKi6Osb6s • Slide #4 Onwards • 20 Slides you can use for your own purposes
Q: What is Measurement System Analysis (MSA)? A: It’s a set of techniques that allow us to answer the question: IF I USE THIS GAGE TO MEASURE, HOW MUCH CAN I TRUST THE MEASUREMENTS I GET? MSA is based on Measurement Error
Understanding Measurement Error Take a single item, and measure it multiple times using the same gage/same technique/same appraiser
Understanding Measurement Error Record the measurements and draw a histogram
Understanding Measurement Error The histogram represents a sample from a normal distribution with a Mean, and a Standard Deviation (derived from spread)
Understanding Measurement Error • Consider the position of the mean – This is how we determine the bias of the system • Imagine we had measured a reference size – a standard – of a known dimension. • We could compare the mean of our results to the actual size of the standard. • The difference is Bias
Bias Reference Value = 0.500 – This is a known size Mean of multiple measurements = 0.525 The gage is, on average, measuring about 0.025 too big. It has a positive bias of 0.025
Bias The gage is, on average, measuring about 0.025 too small. It has a negative bias of 0.025
Bias The gage is, on average, measuring the same size as the standard. It has a zero bias
Bias But, we have only dealt with Bias at one size at one point in time A Gage is used over a range of sizes And over a period of time Bias may change depending on these factors: Linearity Change in Bias over the operating range of the gage Stability Change in Bias over time
Bias Linearity – Change in Bias over operating range
Bias Stability – Change in Bias over time
Bias Stability & Linearity For standard Gages - How does the calibration system deal with Bias?
Variation Repeatability & Reproducibility • Bias is based on the location of the mean of the distribution • What about the spread of sizes? • For a perfect gage this spread would be as small as possible • We need to determine if we can live with the spread (variation) of measurement error from the gage • We know that when one person uses the gage we get variation – This is the variation inherent in the Gage – REPEATABILITY • If we have more than one person using the gage, this may introduce more variation - REPRODUCIBILITY
Variation Repeatability & Reproducibility
Variation Gage R&R One way to determine the amount of variation in the Measurement System is through a Gage R&R Study Take say, 10 parts, 3 appraisers, and measure each part 3 times ( or 15 parts x 4 appraisers x 5 replicates – whatever you want) Analyze the results using statistical methods e.g. Analysis of Variance (ANOVA) to determine how much variation comes from Gage R&R Repeatability Reproducibility
Variation Gage R&R Screenshot from Free Online Gage R&R ANOVA Calculator at www.GageRandR.com
Variation Gage R&R
Variation Gage R&R When we’ve calculated the magnitude of the Repeatability Reproducibility Both together – Gage R&R We can compare them to: A Tolerance A Process Capability The amount of Total variation in the Gage R&R Study Anything else that helps answer the question: How much can I trust my data if I use this Gage ?
Visit: • www.GageRandR.com • For more info about: • Measurement System Analysis • Gage R&R • Free Online Gage R&R Calculator (ANOVA) • Interactive Process and Gage Simulation • Other helpful stuff dave@gagerandr.com