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Baseline sample size — Finite-Population Sample Size Calculator

Finite-Population Sample Size: Calculate baseline sample size from Corrected sample size, Population size. Check the formula, input units and worked result on this page.

Enter your values

Formula symbol: n. Enter a numeric value. Use a whole number. Must be greater than zero.
Formula symbol: population. Enter a numeric value. Use a whole number. Must be greater than zero.

Use a decimal point, without thousands separators.

This is a without-replacement simple-random-sampling planning relation; population size is not inferred from observed data. Count solutions round up and can differ slightly from exact equality.
Example result
Baseline sample size
53

The initial result uses the example values. Enter your own values and calculate again.

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How it works

A large-population baseline sample size is related to a known finite population through an algebraic correction. This form solves for baseline sample size; enter the known quantities in Corrected sample size, Population size.

Inputs and units
Baseline sample size — Finite-Population Sample Size Calculator · Inputs and units
InputExample valueWhat to enter
Corrected sample size50Formula symbol: n. Enter a numeric value. Use a whole number. Must be greater than zero.
Population size1,000Formula symbol: population. Enter a numeric value. Use a whole number. Must be greater than zero.
baseline = max(0, ceil(((n * (population - 1)) / (population - n))))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Corrected sample size
50
Population size
1,000

Complete example results

Baseline sample size
53

Reading the result

The result solves for baseline sample size from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the baseline sample size result?

This is a without-replacement simple-random-sampling planning relation; population size is not inferred from observed data. Count solutions round up and can differ slightly from exact equality.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: itl.nist.gov

Methods & accuracy

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