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What can a dilution check tell me about the reportable range?

A dilution check tests whether the method can recover the original concentration after a specimen is diluted and the result is corrected for the dilution factor. A reading inside the measuring interval is only the starting point.

Worked example at a glance

160 units

Assigned value for the specimen

156 units

Corrected result at ×2

132 units

Corrected result at ×4

Separate the measuring interval from the extension

Suppose a fictional method has an analytical measuring interval of 2–100 units for specimens measured without an extra dilution. A specimen gives a result above 100 units. The laboratory wants to know whether a specified dilution can bring the measured portion within the interval and still give a reliable estimate of the concentration in the original specimen. An extended measuring interval depends on evidence about the procedure used for that extra step. [1]

Multiplying the upper limit by a proposed dilution factor gives a theoretical maximum. In this example, a twofold dilution and a 100-unit upper limit give 200 units. The calculation does not establish the upper end of a usable extended interval. That depends on the applicable instructions, the specimen matrix, the dilution procedure and evidence at the concentrations concerned. [1]

Follow one specimen through two dilutions

In this illustration the same specimen has a value of 160 units assigned independently using a suitable comparison procedure. The laboratory prepares two dilutions with the specified diluent. The twofold dilution contains one part specimen and one part diluent. The fourfold dilution contains one part specimen and three parts diluent. Both diluted readings fall inside 2–100 units.

FactorDilutedCorrected
×278 units156 units
97.5% recovery
×433 units132 units
82.5% recovery
Measured and corrected results are in arbitrary units. Recovery is calculated against the independently assigned value of 160 units.

Multiply each diluted reading by the dilution factor to express the result on the original specimen scale. For the twofold dilution, 78 × 2 gives 156 units. Recovery is the corrected result divided by the assigned value, expressed as a percentage. Here, 156 ÷ 160 gives 97.5%. At fourfold dilution, 33 × 4 gives 132 units, or 82.5% recovery.

Check whether the displayed result is already corrected for dilution. Some workflows apply the factor automatically. Keep the diluted reading, dilution factor and corrected result clearly labelled so the factor is applied only once.

Check recovery as well as the instrument reading

The laboratory has set a fictional recovery criterion of 90–110% for the example. The result at twofold dilution meets this criterion for this specimen. The result at fourfold dilution is below it, although the diluted reading of 33 units is comfortably within the analytical measuring interval.

The independently assigned concentration is 160 units. The twofold dilution gives a corrected result of 156 units, or 97.5% recovery. The fourfold dilution gives 132 units, or 82.5%, below the fictional 90 to 110% interval.
Corrected results for the same specimen. The shaded band is the fictional 90–110% recovery criterion around the assigned value of 160 units. Open the figure full size.

The difference could reflect the preparation, the interaction between the specimen and diluent or another part of the measurement procedure. One comparison establishes the discrepancy in this example and does not identify the cause. The independently assigned value also matters. If the expected value comes only from another unverified dilution of the same specimen, the comparison tests consistency between dilutions rather than recovery against an independent value. [1]

Define the scope of what the check supports

The result at twofold dilution gives one piece of evidence at about 160 units under the stated conditions. An extended interval needs evidence across the concentrations and dilution factors the laboratory intends to use. It also needs an appropriate decision criterion and a clearly specified procedure. A linearity study within the undiluted interval addresses a different question from recovery after dilution above it. [1] [2]

Example wordingAt 160 units, the twofold dilution gave 97.5% recovery under the conditions tested. The fourfold dilution gave 82.5%, below the illustrative criterion. This single specimen provides evidence at one concentration and does not establish the upper limit of an extended measuring interval.

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Sources and related reading

Read what a verification study can tell you · Read about fitness for purpose in analytical performance specifications

By Stephen MacDonald · Suggest a correction · Back to Find a guide