1. Unsing Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Using Manufactures’ Specifications as Type B Uncertainty Contributions NCSLI 2006 Conference Nashville TN, USA Agilent Technologies, Corporation Loveland Standards Laboratory Robert (Bob) L. Brown Standards Lab Engineering Manager

2. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 We Can Allowed to by GUM. Readily available. Based on OEM Information Manufacturer has volumes of information. Manufacturer knows the instrument. Manufacturer has return to factory Calibration & Repair Data. Guaranteed Defines “Fitness for use” in warrantees and repair contracts. Assures performance of replacement and repair. Manufacturer manages to the specification. Are there any weaknesses? NOT a statistic. -- What distribution? Worse case -- GUM says do not use “safe” estimates. Can include systematic errors -- GUM says, “contributor mean = 0”. Why do we use the Manufacturers’ Specifications?

3. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Random Variable R R = (M, V, S, K, … ) Moments of variation Statistics

4. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Random Variable R R = (M, V, S, K, … ) R = (M, V) Closer Look Statistics

5. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Random Variable R R = (M, V, S, K, … ) R = (M, V) R = (M(t), V(t)) R = (a + b*t, c + d*t) Statistics Definition: Calibration Standard To transport a parameter value from one place to another place and time.

6. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Calibration Standard Visible Standard Wouldn’t it be nice if we could just look inside? Choice of Visible Standard Simple math model. Is easy to grasp. Available / Accessible Exaggerated uncertainties. http://www.agilent.com/metrology/ncsli2006_brown/clt.html

7. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Visible Standard Major Organs: R = (Mean, Variance) C = ( 0.13, 2.32^2 ) D = ( -0.07, 2.91^2 ) R = ( 0.02, 1.08^2 ) Total = ( 0.08, 3.88^2 )

8. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Random Variable R R = (M, V, S, K, … ) R = (M, V) R = (M(t), V(t)) R = (a + b*t, c + d*t) Visible Standard Total for Visible Standard: Total = ( 0 + 0 * t, 6.5 + 2.4 * t ) Total = ( 0, 3.9 ^ 2 ) at 3.5 mo Total = ( 0, 5.8 ^ 2 ) at 11.5 mo  Use Worst Case!

9. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 The Drift Population can only be sampled once per year.

10. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Random Variable R R = (M, V, S, K, … ) R = (M, V) R = (M(t), V(t)) R = (a + b*t, c + d*t) Visible Standard Total for Visible Standard: Total = ( 0 + 0 * t, 6.5 + 2.4 * t ) Total = ( 0, 3.9 ^ 2 ) at 3.5 mo Total = ( 0, 5.8 ^ 2 ) at 11.5 mo  Use Worst Case!

11. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Visible Standard Manufacturing Variance An even closer look …

12. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Visible Standard Manufacturing Variance Random Variable R R = (M, V, S, K, … ) R = (M, V) R = (M(t), V(t)) R = (a + b*t, c + d*t) Total for Visible Standard: Total = ( 0.0 + 0.0 * t, 6.5 + 2.4 * t )  Before Total = ( 0.0 – 0.3 * t, 6.5 + 2.2 * t )  Now

13. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Visible Standard Bias ( 2.0 + 0.0 * t, 6.5 + 2.4 * t ) ( 0.0 - 0.3 * t, 6.5 + 2.2 * t )( 0.0 - 0.3 * t, 6.5 + 0.0 * t ) Total = Definition: The difference between the expected value of a standard and the expected value of the calibration procedure

14. Using Manufacturers’ Specifications NCSLI 2006 6 th to 10 th August 2006 Conclusion R = ( a + b * t, c + d * t ) Setting Product Specification Identifying Manufacturing Control Parameters Detection of Non-compliant Product Adjustment Strategies Impact of uncorrected product bias in Standards