Use this page to find Chi-Square critical values and calculate p-values for statistical analysis. Whether you are conducting a goodness-of-fit test, testing for independence, or interpreting Chi-Square statistics, the tools and tables here provide accurate and easy-to-use solutions.
Explore the dynamically generated Chi-Square table for different significance levels (α), use the Chi-Square Critical Value Calculator to compute critical thresholds, or calculate p-values based on your Chi-Square test results. Simply input the necessary parameters, and let the calculators do the rest!
Scroll down to view the Chi-Square tables for various significance levels. This table covers a wide range of degrees of freedom for statistical tests.
Chi-Square Critical Value Calculator
Chi-Square p-Value Calculator
Chi-Square Table
How to Use the Chi-Square Tables
Chi-Square tables are used to determine the critical value for the Chi-Square distribution, which is commonly used in hypothesis testing, such as goodness-of-fit tests, independence tests, and variance analysis. Follow these steps to interpret the Chi-Square tables:
- Select the Significance Level (α): Identify the significance level for your test. Common values are 0.01, 0.05, or 0.1, and corresponding tables are available on this page.
- Find the Degrees of Freedom: Determine the degrees of freedom for your test. This depends on:
- Goodness-of-fit test: The number of categories minus one.
- Independence test: (Number of rows – 1) × (Number of columns – 1) in a contingency table.
- Locate the Critical Value: In the Chi-Square table:
- Find the row corresponding to your degrees of freedom (df).
- Find the column corresponding to your chosen significance level (α).
- The intersection of the row and column gives the critical Chi-Square value for your test.
Use this critical value to compare against your calculated Chi-Square statistic:
- If the calculated Chi-Square value is greater than the critical Chi-Square value, reject the null hypothesis.
- If the calculated Chi-Square value is less than or equal to the critical Chi-Square value, fail to reject the null hypothesis.
For quick calculations, use the Chi-Square Critical Value Calculator on this page.
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Suf is a senior advisor in data science with deep expertise in Natural Language Processing, Complex Networks, and Anomaly Detection. Formerly a postdoctoral research fellow, he applied advanced physics techniques to tackle real-world, data-heavy industry challenges. Before that, he was a particle physicist at the ATLAS Experiment of the Large Hadron Collider. Now, he’s focused on bringing more fun and curiosity to the world of science and research online.