Chi Test Calculator

Perform a chi-square test of independence or goodness-of-fit. Enter observed and expected frequencies to compute the chi-square statistic, degrees of freedom, and p-value.

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Chi Test Calculator Guide

This calculator performs a chi-square test for goodness-of-fit or independence. Follow these steps:

  1. Enter Observed Frequencies: Type the observed counts separated by commas (e.g., 20, 30, 25). At least two values are required.
  2. Enter Expected Frequencies: Type the expected counts separated by commas (e.g., 25, 25, 25). Must have the same number of values as observed.
  3. Select Test Type: Choose Goodness-of-Fit to compare observed vs. your expected values, or Independence to assume equal expected frequencies (calculated automatically).
  4. Click Calculate: The results show the chi-square statistic (χ²), degrees of freedom (df), and p-value. A p-value below 0.05 typically indicates a significant difference.

Note: Expected values must be positive. The formula used is χ² = Σ((O-E)²/E).

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Frequently Asked Questions

A chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in one or more categories.

If the p-value is less than your significance level (e.g., 0.05), you reject the null hypothesis, indicating a significant difference.

χ² = Σ((O-E)²/E), where O is observed frequency and E is expected frequency.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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