calqulio.
◎ English · Global

Corrected sample size — Finite-Population Sample Size Calculator

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

Enter your values

Formula symbol: population. Enter a numeric value. Use a whole number. Must be greater than zero.
Formula symbol: baseline. 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
Corrected sample size
91

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

Edit inputs

How it works

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

Inputs and units
Corrected sample size — Finite-Population Sample Size Calculator · Inputs and units
InputExample valueWhat to enter
Population size1,000Formula symbol: population. Enter a numeric value. Use a whole number. Must be greater than zero.
Baseline sample size100Formula symbol: baseline. Enter a numeric value. Use a whole number. Must be greater than zero.
n = max(0, ceil(((population * baseline) / ((population + baseline) - 1))))

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.

Population size
1,000
Baseline sample size
100

Complete example results

Corrected sample size
91

Reading the result

The result solves for corrected 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 corrected 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

What would you like to calculate?

Browse all calculators

Graphing calculator ↗