# Gage R&R Example

## If My Parts Are So Good, Why Is My Gage R&R So Bad?

Almost every week, we get this question from someone trying to conduct a Gage R&R study because their customers are requiring it. They think if their product is good, their Gage R&R should be too.

Tip: A Gage R&R Study does NOT evaluate your product.

You need BAD parts to conduct a GOOD Gage R&R Study

### Gage R&R Study Basics

Gage repeatability and reproducibility calculates the total variation (TV) from three factors. It then uses total variation to determine how much variation is attributable to appraisers and equipment (%R&R).

Part Variation (PV)
Difference between individual parts

Equipment Variation (EV) - Repeatability
Can one person, using the same gage, measure the same part consistently?

Appraiser Variation (AV) - Reproducibility
Can two people using the same gage, measure the same part consistently?

If your parts are identical, there is NO Part Variation and all of the variation falls to the appraisers and equipment.

### Gage R&R Example

I have dozens of examples, but here's a recent one. The supplier produces parts:

• Target: 43.11
• Tolerance: +/-0.13 (0.26 total)
• USL = 43.11 + .13 = 43.24, LSL = 43.11 - .13 = 42.98

They measured 10 parts with three appraisers. As you can see from the data table below, all parts are only off from the target by a few thousands. NO PART VARIATION.

If we run a frequency histogram on this data, you'll see that the capability indices (Cp, Cpk, Pp, Ppk) are excellent:

Even though the parts are good, they are too good to test the measurement system. When we put this data into QI Macros Gage R&R template, built in logic tells us the same thing. The calculations in cells A48:B56 contain the warning "NDC < 5".

NDC is the Number of Distinct Categories. It is a measurement of the variation in your sample parts. If your NDC is less than 5, there isn't enough part variation to use the Average and Range Method or the ANOVA method to calculate Gage R&R.

### Specification Tolerance Method

The alternative is to use the Specification Tolerance Method. The Spec Tolerance equals (USL-LSL).
A one-sided Specification Tolerance equals 2*(USL-Xbar) or 2*(Xbar-LSL). AIAG MSA V3 pg. 116-117.

In this example, the spec tolerance is equal to 0.26. If we input this value into cell B45, we get results using the spec tolerance method in column C.

You can even use the specification tolerance with the ANOVA method (%R&R = 1.3%).

But, it can still be hard to explain this to your customers.

A better choice is to go back and make sure you have 10 parts that span the tolerance: (42.98-43.24):

42.98, 43.01, 43.04, 43.07, 43.10, 43.13, 43.16, 43.19, 43.22, 43.24

When you do, there's much more part variation and the NDC will change accordingly. Here is an example of Gage R&R results with a good NDC and usable results.

### Here's the Point

Gage R&R doesn't measure the quality of your parts, only the quality of your measurement system. If you want customers to trust your part quality, you have to learn how to properly evaluate measurement variation.

#### Do you have more than 3 appraisers?

If you want to perform a Gage R&R Study, but have more than 3 appraisers, use multiple Gage R&R templates side by side. Note that it is not possible to add more than 3 appraisers to a Gage R&R template with QI Macros.

### Affordable

• Only \$299 USD - less with quantity discounts
• No annual fees
• Free Technical Support

### Easy to Use

• Works Right in Excel
• Interprets Results for You
• Accurate Results Without Worry

### Proven and Trusted

• Compatible with AIAG 4th Ed.
• 100,000 Users in 80 Countries
• Five Star CNET Rating - Virus Free