Chi-Square Goodness of Fit
Calculate Chi-Square Goodness of Fit instantly with the exact formula and a worked example.
Chi-Square Goodness of Fit
Observed O₁
Expected E₁
Observed O₂
Expected E₂
Observed O₃
Expected E₃
Observed O₄
Expected E₄
Observed O₅
Expected E₅
χ² value
2.9
At α = 0.05
Not significant
p-value
0.5747
Degrees of freedom
4
Critical χ² (α = 0.05)
9.488
More about: Chi-Square Goodness of Fit
What it calculates
The “Chi-Square Goodness of Fit” calculator computes χ² value from 10 parameters: observed o₁, expected e₁, observed o₂, expected e₂, observed o₃, expected e₃, observed o₄, expected e₄, observed o₅, expected e₅.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters Observed O₁ = 18, Expected E₁ = 20, Observed O₂ = 22, Expected E₂ = 20, Observed O₃ = 20, Expected E₃ = 20, Observed O₄ = 25, Expected E₄ = 20, Observed O₅ = 15, Expected E₅ = 20 the result is 2.9 (Categories with E = 0 are ignored; leave unused rows at zero).
How to use
- Enter observed o₁, expected e₁, observed o₂, expected e₂, observed o₃, expected e₃, observed o₄, expected e₄, observed o₅ and expected e₅ — each field above is adjustable with a slider.
- χ² value is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Chi-Square Goodness of Fit calculated?
The Chi-Square Goodness of Fit calculator computes χ² value from observed o₁, expected e₁, observed o₂, expected e₂, observed o₃, expected e₃, observed o₄, expected e₄, observed o₅, expected e₅. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Chi-Square Goodness of Fit calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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