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Metrology Concepts:

What does less than 4:1 TUR (Test Uncertainty Ration) Mean?


The calibration that Transcat performed on your instrument followed ISO-17025 accredited practices. Within this calibration, there may have been one or more measurements that resulted in a Test Uncertainty Ratio (TUR) of less than 4:1. TUR is the ratio between your instrument’s allowed tolerance and the calibrating lab’s measurement uncertainty. While Transcat attempts to maintain a TUR of 4:1 or better for each measurement made on your instrument, there are times when this is simply not feasible. This may leave you with the question, “Does a TUR that is less than 4:1 have an impact on my quality system?” This paper should help to make that decision easier for you to answer; or at least will get you on your way to a better understanding of what this means.

Following the requirements of ISO-17025, Transcat calibration technicians calculated the uncertainty of each measurement that was taken on your instrument and then determined the TUR for each reading. The uncertainty reported by a calibration laboratory represents the variation that occurs within that lab’s controlled measurement process. This uncertainty includes multiple components: the estimated drift of the lab standard over its calibration interval, the uncertainty of the calibration performed on the lab standard when it was calibrated and environmental effects, among other things. These values may change within an expected range over time, but usually, much less than your instrument changes over time. The exact amount of drift in these values is determined each time the lab standard is recalibrated.

Even though a 4:1 TUR (or better) is considered ideal, the most important point to consider is that, even at 4:1 or 10:1, there is an “indeterminate zone” that still may influence your quality decision for In-Tolerance vs. Out-Of-Tolerance situations. This “indeterminate zone” is the area where the actual reading, plus/minus the uncertainty, may cause the statement of compliance to be misleading. If any of your instrument’s readings lie within this zone, you should understand how Transcat handles this and you should decide rule in your quality system outlining what to do in this scenario.

The greater the TUR, the smaller the indeterminate zone. Likewise, the smaller the TUR, the larger the zone. Sometimes small TURs cannot be avoided, either because of the limits of technology or because of the cost to achieve better TURs. This means that sooner or later you’ll run into this indeterminate decision situation. If your instrument’s reading lies within this zone or beyond, you need to decide on whether the value of the instrument (as it had been used over its past calibration cycle) adversely affected the product or process in which it was used to make qualifying measurements.

Transcat’s decision rules are as follows:

  1. Regardless of the uncertainty, we will report compliance based on the actual reading.
  2. Whenever the reading lies within the indeterminate zone or is out of tolerance, we will adjust the instrument (when possible) to return its value as close to nominal as is possible.
  3. We will include the uncertainty of the measurement and the calculated TUR for any reading in which the TUR is less than 4:1.
  4. For any reading in which the TUR is less than or equal to 1:1, we require our customer’s approval to proceed.

We follow this set of decision rules because the clear majority of our customers rely upon a statement of compliance to tell them when it is time to perform an impact evaluation wherever the instrument had been used over its last calibration interval. Transcat will make a statement of compliance (In-Tol or OOT) for measurements where the TUR is less than 4:1, but only to the point that we reach a 1:1 TUR. When the TUR reaches or drops below a 1:1 ratio, there is simply insufficient evidence for us to clearly state whether your instrument meets its tolerance limits. Therefore, we do not include a statement of compliance when any reading must be performed at a TUR less than or equal to 1:1.

For more details on this subject, or to gain a better understanding of the indeterminate zone, please read our white papers, which can be found on our website.

Frequently Asked Questions (FAQs)

Question: What is the difference between TAR and TUR?

TAR (Test Accuracy Ratio) and TUR (Test Uncertainty Ratio) are both test ratios that are intended to indicate whether the calibration process was good enough to be able to make a statement of compliance about your test instrument. TAR is the ratio of your instrument’s accuracy against the accuracy of the standard that is used to report the error of your instrument. TUR is the ratio of your instrument’s accuracy against the laboratory’s measurement uncertainty. Uncertainty estimates are required under ISO-17025 accreditation practices for a lab to become accredited. TUR is, therefore, a more correct ratio indicator of the calibration process.

Question: Does TUR make my instrument OOT when TAR would not have?

No, TAR vs. TUR has no effect on whether an instrument is

In unavoidable situations that cause a TUR that is less than 4:1, a calibration laboratory should report their measurement uncertainty for the measurement. Using the uncertainty, the allowed tolerance of your instrument, and your instrument’s reported reading, you can determine whether the reading lies within the indeterminate zone:

a. If it does not lie within the indeterminate or OOT zone, then you can rest assured that the lower TUR had no effect on the process in which your test instrument was used to make qualifying measurements.

b. If it does reside within the indeterminate or OOT zone, then you should treat the measurement as if it were reported OOT and perform an evaluation of the processes in which the instrument was used.