Chi-Square Goodness-of-Fit Test Calculator
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Compute Pearson chi-square statistic (χ²), degrees of freedom, and p-value comparing observed vs expected frequencies.
Category Counts (Comma or Space Separated)
Chi-Square Statistic (χ²)
1.800
Degrees of Freedom (k - 1) = 3
p-value:
0.6149
Significance (α=0.05):
Fail to Reject H₀
⚡
Direct In-Browser Handoff
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Helpful Examples
Fair Die 60 Rolls Test
Testing if a six-sided die is balanced
Observed: 7, 12, 10, 8, 15, 8 | Expected: 10, 10, 10, 10, 10, 10How to Use the Chi-Square Goodness-of-Fit Test Calculator
Inferential categorical test comparing observed count frequencies against hypothesized theoretical distributions or expected proportions. Calculates Pearson's chi-square test statistic χ² = Σ [(O - E)² / E], degrees of freedom (k - 1), critical threshold values at α = 0.05 and α = 0.01, and exact p-value significance.
Privacy & Data Processing Notice
No user data leaves your browser. Computation is executed entirely on your device. We do not store, view, or transmit your inputs over our network. Your computation remains on your personal machine.
Frequently Asked Questions
What is the minimum recommended expected frequency per cell?
A widely accepted rule of thumb is that every expected frequency E_i should be at least 5 for the chi-square approximation to remain accurate.
How are degrees of freedom calculated for goodness-of-fit?
df = k - 1, where k is the total number of distinct categories.
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