Chi-Square Test Calculator
Calculate chi-square test statistic
About this calculator
The Chi-Square Test Calculator determines whether there's a statistically significant relationship between categorical variables by comparing observed and expected frequencies. This statistical tool is essential for researchers, students, and analysts conducting goodness-of-fit tests or tests of independence. It calculates the chi-square statistic, degrees of freedom, and p-value, helping you determine if your data supports or rejects your null hypothesis with confidence.
How to use
Input your observed frequencies and expected frequencies into the corresponding fields. The calculator will automatically compute the chi-square statistic using the formula Σ[(O-E)²/E]. Review the results including the test statistic, degrees of freedom, and p-value to determine statistical significance at your chosen alpha level.
Frequently asked questions
What is a chi-square test used for?
Chi-square tests determine if there's a significant association between categorical variables or if observed data fits an expected distribution pattern.
What p-value indicates statistical significance?
Typically, p-values less than 0.05 indicate statistical significance, though this depends on your chosen significance level (alpha).
What are the assumptions for chi-square tests?
Data must be categorical, observations independent, and expected frequencies should be at least 5 in each cell for reliable results.