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University · Sampling

Sample Misstatement Projection Calculator.

Enter the population, paste the sample items with their book and audited values, and set tolerable misstatement. The tool projects the errors in the sample to the whole population by two common methods, adds any misstatement already found elsewhere, and shows how that compares with your tolerable misstatement.

Population, sample and tolerable misstatement

Paste from Excel or CSV. Overstatement is book value above audited value. Understatement shows as a negative error.

Population value should exclude any items you tested in full. Enter tolerable misstatement from your own materiality work. Remove from the sample any error you have judged an anomaly, and say so in your working paper.

Projected misstatement
Sample items10
Items with an error3
Book value of the sample13,82,000.00
Share of population value in the sample11.1%
Net error in the sample (book less audited)26,000.00
Ratio method: projected misstatement2,35,166.43
Plus misstatement found outside the sample2,35,166.43
Room left under tolerable misstatement2,64,833.57
Average difference method: projected misstatement10,40,000.00
Plus misstatement found outside the sample10,40,000.00
Exceeds tolerable misstatement by5,40,000.00
Rows that could not be read0
ItemBookAuditedError
D-1033,10,000.002,95,000.0015,000.00
D-10672,000.0076,000.00-4,000.00
D-1092,65,000.002,50,000.0015,000.00

The projected figure is a point estimate. Sampling risk means the true misstatement can be higher or lower. When the projection is close to tolerable misstatement, consider extending the sample or asking for correction. Your sampling method and the current standards decide the conclusion.

Errors in a sample speak for the whole population.

A sample is tested to learn about everything that was not tested. If the sample shows an error rate, the same rate probably applies to the rest, and the projected figure is your best estimate of the misstatement in the population. Compare it, together with misstatements found elsewhere, to tolerable misstatement. Then decide whether to accept, extend the sample or ask management to correct.

Audit sampling calculatorUncorrected misstatements worksheet

How the projection works

Each sample item has an error, which is its book value less its audited value. The errors are added up for the sample.

The ratio method divides the net error by the book value of the sample and multiplies by the population value. The average difference method divides the net error by the number of sample items and multiplies by the number of items in the population.

Misstatement you found outside the sample is added to each projection. The total is compared with your tolerable misstatement to show the room left or the excess.

Worked example — ten debtors tested

Ten items with a book value of 13,82,000 show a net error of 26,000 in a population of 1,25,00,000 with 400 items.

Inputs
Net error in sample26,000
Sample book value13,82,000
Population value1,25,00,000
Output
Ratio methodAbout 2,35,200
Average difference method10,40,000
The methods can differ a lot when item sizes vary. The ratio method suits errors that grow with the size of the item. Choose the method that fits the population and say why.

Common mistakes

Netting overstatements against understatements without a thought
Look at both directions separately as well, since tolerable misstatement may apply to each.
Projecting a true one-off
An error you can show is isolated may be treated as an anomaly. Document why, and do not use it as a way to remove inconvenient errors.
Using a sample that was not representative
Projection assumes the sample reflects the population. A judgemental selection of large items does not.

Frequently asked questions

What columns does the pasted data need?+
A header row, then item, book value and audited value.
Does it handle monetary unit sampling?+
No. It covers ratio and average difference projections on a sample of items. Use your sampling method for other approaches.
Is my data uploaded?+
No. Everything is processed in your browser.

Authoritative sources

ICAI — SA 530, Audit Sampling — Projecting misstatements and evaluating results. Check the current text.
Always confirm against the latest version of the source. Regulations evolve and amendments are common.
Related calculators
Audit sampling calculator →Uncorrected misstatements worksheet →Audit sample selector →
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Last reviewed: 2026-10-17 · For informational purposes only — not professional advice.