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Design of Experiments Guide > MSA Designs > Example of MSA Design
Publication date: 11/10/2021

Example of MSA Design

In this example, you want to study the variability in your measurement systems due to instruments and operators. You have two scales in your lab and four operators who have time to participate in the study. You have a set of five standard parts to weigh and each operator makes six measurements per part per instrument. You do not have previous estimates of variability, so you design an experiment based on a variance of one, which results in diagnostics that are scaled to the true variability.

1. Select DOE > Special Purpose > MSA Design.

2. Click on the Match Target Goal for the response Y, and select Match Target.

3. Set the # of Levels for Part to 5.

4. Set Add N Factors to 2 and click Add Factor.

5. Rename X2 to Operator, click on None to set the MSA Role to Operator, and type 4 in the # of Levels column.

6. Rename X3 to Gauge, click on None to set the MSA Role to Gauge, and type 2 in the # of Levels column.

7. In the Number of Replicates box, type 5.

Specifying 5 replicates indicates that each run of the design contains 6 measurements.

8. Leave the Replicate Runs set to Fast Repeat to run the replicates sequentially.

Figure 25.2 Factor Settings 

Factor Settings

9. Select Show Levels (check box in the Factors outline).

10. Edit the factor Values as shown in Figure 25.3.

Figure 25.3 Factor Values 

Factor Values

Note: Setting the Random Seed in step 11 reproduces the design and diagnostics shown in this example.

11. (Optional) Click the MSA red triangle, select Set Random Seed, and type 123.

12. Click Make Design.

Note: Click Make Table to generate a table for data collection. See MSA Design Table for analysis scripts that are included in the design table.

13. Scroll down to the Design Diagnostics outline and click the gray disclosure icon to open.

The Design Diagnostics report contains settings for assumed variances that are then used to estimate confidence intervals, variance proportions, and EMP Monitoring Classifications. These estimates are used to evaluate the strength of your MSA study design. Explore different variance assumptions, or use the Back button to make adjustments to your design.

14. Adjust the expected Variance of your factors to explore the impact on your design diagnostics.

Set Operator Variance to 0.5.

Set Part Variance to 10.

Set Gauge Variance to 0.25.

Figure 25.4 MSA Design Diagnostics 

MSA Design Diagnostics

All diagnostics are based on simulations that are computed from the sampling distributions of the appropriate mean squares. Based on the variance estimate assumptions, the study results in a 74% probability of a first class process. Note that the diagnostics are based on a completely randomized design. In this example, you selected the Fast Repeat to run the replicates sequentially. Often logistics of running the MSA requires the replicates to be run sequentially.

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