Chi-Square Calculator

Your details

The frequencies you actually measured. Separate values with commas, spaces or new lines.
The frequencies predicted by your null hypothesis. Each must be greater than zero.
The threshold probability for rejecting the null hypothesis. 0.05 (5%) is the most common choice in research.
Chi-square (χ²)Not significant - fail to reject H0
3.0002
p-value0.3916
Critical value7.8147
Degrees of freedom3
Cramer's V (effect size)0.0535
Total sample size (n)349
Categories (k)4
0.3916 p-value
Highly significant<0.001Very significant0.001-0.01Significant0.01-0.05Marginal0.05-0.1Not significant0.1+

χ² = 3.0002, p = 0.3916, df = 3

  • The p-value (0.3916) is above α = 0.05, so the data are consistent with the null hypothesis.
  • Cramer's V = 0.0535, indicating a negligible effect size (V < 0.1 negligible, 0.1-0.3 small, 0.3-0.5 medium, > 0.5 large).
  • Inspect the per-category breakdown below to see which groups contribute most to the statistic.

Next stepYour data fit the expected distribution. Check the effect size and consider whether your sample is large enough to detect a real difference.

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