χ²
Chi-Square Calculator
Compute Pearson χ² statistic for goodness-of-fit or contingency table independence. Includes degrees of freedom and p-value.
MATHCompute Pearson χ² statistic for goodness-of-fit or contingency table independence. Includes degrees of freedom and p-value.
Detailed instructions, formula notes, and US-context guidance shown in the calculator above.
Disclaimer: Estimate only. Consult a qualified professional for decisions with major financial, legal, or health consequences.
Chi-Square Calculator
Pearson χ² goodness-of-fit test. χ² = Σ(observed − expected)² / expected. Compare against critical value or use the p-value at α = 0.05.
Chi-Square Statistic
χ² = 13.8800
Degrees of freedom5
p-value1.643e-2
Decision at α = 0.05Reject H₀ (significant)
Wilson-Hilferty approximation. Expected frequencies should all be ≥5 for valid χ² test; otherwise use Fisher exact.
Frequently Asked Questions
What is the Chi-Square Calculator for?
Compute Pearson χ² statistic for goodness-of-fit or contingency table independence. Includes degrees of freedom and p-value.
How do I use the Chi-Square Calculator?
Detailed instructions, formula notes, and US-context guidance shown in the calculator above.
How accurate are my chi-square results?
Estimate only. Consult a qualified professional for decisions with major financial, legal, or health consequences.
Is the Chi-Square Calculator free to use?
Yes - every calculator on WhichCalc is completely free with no signup, no usage limits, and no tracking on the calculation itself. Results display instantly in your browser and your inputs are never sent to a server. Bookmark the page if you use this calculator regularly.