Chi Square Calculator
Calculate the chi-square statistic for observed and expected values using a goodness-of-fit style setup.
Enter lists separated by commas, spaces, or line breaks.
χ² = Σ((O − E)² / E)
| Metric | Value |
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Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
This tool compares observed counts to expected counts and sums the contribution from each category.
Degrees of freedom for a simple goodness-of-fit setup are often:
df = categories − 1
Examples
- Observed: 18, 22, 20, 25
- Expected: 21.25, 21.25, 21.25, 21.25
- Each category contributes (O − E)² / E
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
FAQ
- What does this chi-square calculator compute?
It computes the chi-square statistic from observed and expected category values using the goodness-of-fit formula.
- What is the chi-square formula?
Chi-square = Σ((observed − expected)² / expected).
- Why must expected values be greater than 0?
Because the formula divides by expected values, so expected values must be positive.
- Are calculations stored?
No. Everything runs locally in your browser.