Chi-Square Calculator
Independence • Goodness-of-fit • Critical χ² • Ajax loading • Hard reset
Settings
α
α is optional. Used for critical χ² (right-tail) and decision.
Quick summary
Pick a mode and enter values.
Rows
Cols
Enter counts table (observed). We compute expected counts and χ².
Observed counts
Tip: you can paste a row like: 10 12 8 into a row’s first cell.
Results
χ² statistic
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Degrees of freedom (df)
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p-value (right tail)
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p = P(Χ² ≥ χ²_obs)
Critical χ² (α)
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Right-tail: P(Χ² ≥ χ²_crit)=α
Decision
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Reject H₀ if p ≤ α (α default 0.05).
Total N
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Updating…
Action
Hard reset: cancels pending updates and clears everything on the first click.