Statistics
Chi-Square Statistic - Statistics
Learn the chi-square statistic with examples, step-by-step guide, and calculator tools. Test for categorical data
The chi-square statistic is a fundamental concept in statistics. Test for categorical data. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\chi^2 = \sum \frac{(O - E)^2}{E}\]
Variables
χ²
Chi-square statistic
O
Observed frequency
E
Expected frequency
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → χ² = (10-8)²/8 + (6-8)²/8 = 0.5 + 0.5 = 1
Example 2
Example 2: 1
Frequently Asked Questions
What is the chi-square statistic?
Test for categorical data
How do I calculate chi-square statistic?
Use the formula: \chi^2 = \sum \frac{(O - E)^2}{E}. Follow the steps provided above.
What tools can help with chi-square statistic?
We provide online calculators: statistics-calculator