Statistics calculator
Chi-Square Calculator for Test Statistics
Calculate a simple chi-square statistic from observed and expected counts.
Formulachi-square = sum((observed - expected)^2 / expected)
Formula
Chi-square statistic
Use a chi-square table or p-value tool for formal hypothesis testing.
chi-square = sum((observed - expected)^2 / expected)
Compare observed category counts with expected counts.
FAQ6 common questions for this calculator.
FAQs
What counts should I enter?+
Enter observed category counts and the expected counts for the same categories.
Why must expected counts be positive?+
Expected count is in the denominator, so it cannot be zero.
How does the Chi-Square Calculator calculate the result?+
For the Chi-Square Calculator, it uses the Chi-square statistic: chi-square = sum((observed - expected)^2 / expected). Compare observed category counts with expected counts.
What information do I need to use the Chi-Square Calculator?+
For the Chi-Square Calculator, enter observed and expected counts. Keep the units consistent with the calculator fields and compare your setup with the worked example on the page.
How accurate is the Chi-Square Calculator?+
Chi-Square Calculator calculates the selected statistic from the sample values provided. It uses the Chi-square statistic, but missing data, outliers, sample bias, and distribution assumptions can affect what the result means.
What should I check before using the Chi-Square Calculator result?+
For the Chi-Square Calculator, check observed and expected counts, sample definition, missing values, outliers, and rounding precision. A statistic can be numerically correct but still describe a weak sample.
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How to use the Chi-Square Calculator
Calculate a simple chi-square statistic from observed and expected counts. The page also explains the chi-square statistic and shows a practical example: Compare observed category counts with expected counts.
- 1
Enter your details
Enter observed and expected counts, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the chi-square statistic: chi-square = sum((observed - expected)^2 / expected).
- 3
Compare scenarios
Change one or more inputs to see how they affect the chi-Square Calculator result before you use the estimate.