Chi-Square Statistic Rechner — Formel

How to Calculate the Chi-Square Statistic

Formula

chi-square = Sum of [(Oi - Ei)^2 / Ei]

For each category, compute the squared difference between observed (O) and expected (E) frequencies, divided by the expected frequency. Sum these components. Larger values indicate greater discrepancy between observed and expected. Degrees of freedom = number of categories - 1.

Lösungsbeispiel

Three categories with observed frequencies 30, 20, 50 and expected 25, 25, 50.

  1. Component 1: (30-25)^2/25 = 25/25 = 1.0
  2. Component 2: (20-25)^2/25 = 25/25 = 1.0
  3. Component 3: (50-50)^2/50 = 0/50 = 0.0
  4. Chi-square = 1.0 + 1.0 + 0.0 = 2.0
  5. df = 3 - 1 = 2