Lesson 6 of 6 · Calibration and measurement limits
Know what the number can support
8 minute lesson · 3 checks along the way
Your goal for this lessonUse calibration, uncertainty and detection limits to judge a measurement claim.
In this lesson 4 sections · 3 checks
Using archive links & definitions
Words with a dotted underline open a short definition right here in the lesson.
Read & understand
A calibration connects response to quantity
establishes a relationship between an instrument’s output and reference values under documented conditions. It can include offsets, sensitivity and nonlinear behavior. It is not a promise that a device stays perfect forever. Temperature changes, aging and a new operating mode can alter the response.
A check against a reference helps reveal whether a change belongs to the target or the instrument. Repeated measurements of the same target alone may not reveal a shared . Keep reference measurements and their own uncertainties in the evidence chain.
Check 1 of 3
10 pointsUse the reading above. You can try again without losing points.
Read & understand
Precision and accuracy ask different questions
concerns how closely repeated results agree under specified conditions. Accuracy concerns closeness to the relevant true or reference value. A device can give tightly grouped measurements that are consistently offset. Averaging can reduce some random variation, but does not automatically remove a common bias.
Uncertainty communicates the range or distribution of values reasonably supported by the measurement and model, with its meaning stated. Extra decimal places do not create new knowledge. A reported uncertainty needs a method and context, not merely a plus-or-minus symbol copied from another instrument.
Read & understand
Work a simple offset correction
In a fictional linear instrument, a zero-input reference produces 8 counts and the sensitivity is 4 counts per unit. A target reading of 48 counts gives (48 − 8) ÷ 4 = 10 units. Dividing by sensitivity before accounting for the offset would report the wrong result. These exact numbers illustrate the arithmetic, not a real calibration certificate.
If the reference drifts to 12 counts, the old correction becomes inappropriate unless the drift is investigated and accounted for. A stable-looking target can appear to change when the instrument changes. Reference observations help distinguish these possibilities but still have finite precision.
Subtract the offset, then apply sensitivity
Original teaching diagram. Fictional linear calibration. RECORDED AND REFERENCE. Target: 48 counts. Zero input: 8 counts. Net signal: 40 counts. CONVERT THE NET SIGNAL. 40 / 4 counts per unit. = 10 units. Validity needs calibration. These exact teaching numbers omit real calibration uncertainty; they do not establish it.
Open full-size diagram in a new tab: Subtract the offset, then apply sensitivityCheck 2 of 3
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Read & understand
Report limits as limits
A nondetection means that a signal was not established under the observation’s sensitivity and decision criteria. It does not generally establish that the physical quantity is exactly zero. Similarly, an over-range value tells you that the instrument’s calibrated range was exceeded, not how far beyond it the target lies.
A useful report gives the quantity, calibration, time, relevant conditions, uncertainty and flags. Then it states the claim those measurements support. This final step links all the instrument lessons: choosing a sensor is choosing both an opportunity to measure and a set of limits you must carry into the conclusion.
Check 3 of 3
10 pointsUse the reading above. You can try again without losing points.
Put it together
Your lesson progress
Each check connects to a part of the story. Complete all 3 to earn your 25-point lesson bonus.
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