Chi-Square Calculator

Enter observed and expected frequencies to compute the chi-square statistic.

Chi-Square Statistic (χ²)
0
Degrees of Freedom
0
Significance (p < 0.05)
Critical Value (p=0.05)
Critical Value (p=0.01)

Component Breakdown

Chi-Square Goodness of Fit Test

χ² = Σ (Oi - Ei)² / Ei

How to Interpret

  • If χ² > critical value, reject the null hypothesis
  • Higher χ² means greater deviation from expected
  • Degrees of freedom = number of categories - 1

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