Skip to main content

Chi-Square Test Calculator

Math Calculators

2x2 table · p-value · Yates correction

Quick Answer

Chi-Square Test Calculator: 2x2 table · p-value · Yates correction. Chi-Square Test Calculator uses standard math formulas to compute accurate results instantly.

Scenario：有效/无效 × 试验组/对照组

χ² (df=1)
11.5942
p = 0.0007
χ²11.5942
p-value0.0007
Critical (α=0.05)3.841
Critical (α=0.01)6.635
p < 0.01: highly significant — reject independence

Expected frequencies

CellObserved OExpected E(O−E)²/E
a6654.002.6667
b3446.003.1304
c4254.002.6667
d5846.003.1304
The chi-square test of independence checks whether two categorical variables are related. H₀: the two variables are independent. χ² ≥ 3.841 (α=0.05) or p < 0.05 → reject H₀. Yates correction is recommended for 2×2 tables with small samples.

Calculation steps

  1. 1Row totals: 100, 100; column totals: 108, 92; grand total n = 200
  2. 2Expected: E₁=54.00, E₂=46.00, E₃=54.00, E₄=46.00
  3. 3χ² = Σ(O−E)²/E = 11.5942
  4. 4df = (2−1)(2−1) = 1, p = 6.616e-4

Was this tool helpful?

How to Use

  1. Enter values or expressions: type directly into the Chi-Square Test Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Chi-Square Test Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: 2x2 table · p-value · Yates correction.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Chi-Square Test Calculator formula

Chi-Square Test Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Chi-Square Test Calculator?
Open the page and fill in the input fields — results update automatically. 2x2 table · p-value · Yates correction.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

Related Tools

Related Guides

Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Chi-Square Test Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/chi-square

Results provided by this tool are for reference only and do not constitute professional advice.