MATH / STATISTICAL INFERENCE

Chi Square Goodness of Fit Calculator

Calculate a three-category chi-square goodness-of-fit statistic. Review the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

01 Calculated in this tab
02 Values stay in this browser tab
03 Use boundary

Use boundary

Calculation path

Calculate a three-category chi-square goodness-of-fit statistic. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

chi^2=sum((O-E)^2/E)

What you provide

First observed count, using the same scenario as the other inputs
First expected count, using the same scenario as the other inputs
Second observed count, using the same scenario as the other inputs
Second expected count, using the same scenario as the other inputs
Third observed count, using the same scenario as the other inputs
Third expected count, using the same scenario as the other inputs

What you receive

Chi-square statistic from the stated equation
A symbolic formula plus substituted working with your values
Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Use one consistent dataset or scale and verify statistical or geometric assumptions before interpretation.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

OpenStax Introductory Statistics 2e

Chi Square Goodness of Fit Calculator

Calculation path

What you provide

What you receive

Choose the maximum decimal places shown. This does not increase source accuracy.

Reviewed reference factors

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