Analytical measurement range, measuring interval and reportable range The lowest concentration you can quantify, the range you can measure directly, and the range you can report after dilution are three different limits, each with its own study. Collapse them into one “range” and you report results the method never validated.

Every quantitative assay carries a hierarchy of limits. The terms are often used loosely, so a validated range on one document can mean something different on the next. Three limits do the real work. They stack from the bottom up.

A logarithmic concentration axis with the limit of quantitation marked on it at 0.5. Above the axis, an analytical measuring interval spans 0.5 to 100 measured directly, abutted by a 1:10 dilution segment from 100 to 1000; a span across both marks the clinically reportable range. Readings of 0.3, 45 and 140 are marked on the axis with the action each requires.
Three limits, stacked. LoQ sits on the concentration axis, where quantitation begins. The analytical measuring interval is what the method measures directly; only the segment beyond it needs the validated dilution. The two together make the clinically reportable range.

The bottom: limit of quantitation

The limit of quantitation (LoQ) is the lowest concentration the method measures with stated precision and bias. It is not the lowest concentration you can distinguish from zero. That is the limit of detection. The LoQ is the lowest concentration you can measure well enough to report a number. It is established from a detection-capability study (EP17). It anchors the bottom of everything above it. No reportable interval can begin below the concentration at which the method stops being trustworthy.

The middle: the analytical measuring interval

The analytical measuring interval (AMI) is the span over which the method measures the analyte directly, with no dilution or concentration, and still meets its allowable error across the whole span. It goes by several names. Analytical measurement range (AMR) is the term the CAP checklists use, analytical measuring range is a common variant, and “the linear range” is loose shorthand for the same thing. They all mean the interval the method may report without dilution.

Its lower bound is the LoQ, or the lowest concentration that remains on the linear relationship. Its upper bound is the highest concentration where the response stays linear and accurate. You establish it from a linearity study (EP06-Ed2). Fit the response across a set of levels. Test departure from linearity against an allowable nonlinearity limit. The AMI is the interval where the method passes.

A linearity difference plot showing each dilution's deviation from the best-fit line against an allowable nonlinearity band, with a table of nonlinearity and 95% confidence intervals per level.
Establishing the measuring interval by linearity (IgM, dataset from CLSI EP06-A Appendix C). The interval where each level’s deviation stays inside the allowable nonlinearity band is the span the method may report directly.

The top and beyond: the clinically reportable range

The clinically reportable range (CRR) is the AMI extended by validated sample handling. Dilution reaches higher concentrations. Concentration occasionally reaches lower ones. A result above the AMI is not reported as measured. It is diluted by a validated factor, re-measured inside the AMI, and multiplied back up. The CRR is only as trustworthy as the dilution protocol behind it. An assay is not reportable to 1000 simply because someone divided by ten, unless a recovery study showed that the 1:10 dilution recovers the analyte accurately.

Measurement range, reportable range, reference interval

Three ranges appear on the same report and mean quite different things. Two describe the method. One describes the patients.

Range What it describes Where it comes from
Analytical measurement range (AMR, or measuring interval) What the method measures directly, without dilution A linearity study (EP06)
Clinically reportable range (CRR) The AMR extended by a validated dilution A recovery study on the dilution factor
Reference interval (the “normal range”) The results a healthy reference population gives A reference interval study on real subjects (EP28)

The first two are properties of the instrument and the assay. They say nothing at all about health. The reference interval is a property of the population, and it usually sits well inside the AMR. A potassium result of 6.8 mmol/L is comfortably inside the measurement range and comfortably outside the reference interval, which is exactly why the two must never be conflated on a report. See choosing a reference interval method for how the third one is established.

A worked case

Suppose a detection-capability study puts the LoQ at 0.5 µg/L, and a linearity study shows the response stays linear and within the allowable nonlinearity band from 0.5 up to 100 µg/L. The AMI is 0.5–100. A recovery study then validates a 1:10 dilution, extending the CRR to 1000 µg/L.

Now the reporting rules follow directly: a sample reading 45 is reported as measured; a sample reading 140 is above the AMI and must be diluted and re-measured, not reported directly; a sample reading 0.3 is below the LoQ and is reported as “< 0.5”, never as 0.3.

Reporting and record-keeping

State all three limits, not one range. Record the LoQ and the study that set it. Record the AMI and the linearity evidence for it. Record the CRR together with the dilution factor and the recovery data that justify it. A result reported outside the AMI without a validated dilution behind it is the kind of finding an inspection will raise.

Downloads

Download the CLSI EP06-A example workbook (.xlsx) — a linearity evaluation with polynomial fits and an allowable-nonlinearity band used to establish the measuring interval, ready to open in the Analyse-it trial.

Common mistakes

Reporting below the LoQ. A number the method cannot quantify reliably should be reported as below the limit, not as its face value. Suppressing the LoQ censoring rule puts unreliable low results into the record.

Calling the measurement range the reportable range. The AMR is what you measure directly. The CRR extends it only where a dilution has been validated. They are not the same span and should not share a number.

Diluting without a recovery study. A dilution factor is an assumption until recovery data confirm the analyte comes back accurately at that dilution. Validate the factor before you rely on it.

Verifying the interval once. The AMI is established at bring-up, but under the CAP checklists it is re-verified on a recurring cycle. See CAP accreditation and AMR verification.

Letting the AMI start below the LoQ. The measuring interval cannot begin at a concentration the method cannot quantify. The LoQ is the floor.

Establish a measuring interval with Analyse-it

Analyse-it sets both ends of the interval from your own data, inside Excel:

  • Linearity fitted across the range and judged against an allowable nonlinearity band (EP06-Ed2), which sets the upper limit
  • The limit of quantitation from a precision profile or a detection-capability study (EP17-A2), which sets the lower one
  • Deviation from linearity reported at each level, rather than a single verdict for the whole range

Every feature from all five editions for 15 days, with no sign-up and no licence key. Linearity and detection capability are in the Method Validation and Ultimate editions, from US$ 475 a year. Validated against NIST and CLSI reference datasets. See LoB, LoD and LoQ explained for the lower limits.