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Chi-Square Goodness-of-Fit Statistic

Compute Σ(observed−expected)²/expected from [observed,expected] count pairs.

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Chi Squared Goodness-of-Fit Statistic online

Compute Σ(observed−expected)²/expected from [observed,expected] count pairs. Use this for the specific transformation described above. Start with the fixed sample and compare its result before replacing it with your own representative input.

How to use it

Paste JSON matching the structure in the example. Choose Calculate. Review the output, then copy or download it.

Worked examples

Use this for the specific transformation described above. Start with the fixed sample and compare its result before replacing it with your own representative input.

Reproducible worked example

Settings: No additional settings.

Input:

[[10,12],[20,18],[30,30]]

With the input and settings above, the tool produces:

Output:

{
  "chiSquare": 0.5555555555555556,
  "categories": 3,
  "nominalDegreesOfFreedom": 2
}

For this input, “chiSquare” is 0.5555555555555556; “categories” is 3; “nominalDegreesOfFreedom” is 2. These are the named fields in the example output.

Limitations and common mistakes

Statistic only; no p-value or decision is supplied. Degrees of freedom can decrease when parameters are estimated; expected-count assumptions must be reviewed.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.

Frequently asked questions

What format should I enter?

Paste JSON matching the structure in the example. The worked example shows the supported structure and actual output.

How can I calculate Σ(observed−expected)²/expected from [observed,expected] count pairs online?

Paste JSON matching the structure in the example. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.