To calculate the Contingency Coefficient:
\[ C = \sqrt{\frac{\chi^2}{n + \chi^2}} \]
Where:
A Contingency Coefficient is a statistical measure used to determine the degree of association or dependency between two categorical variables. It ranges from 0 to 1, where 0 indicates no association and 1 indicates a strong association. This coefficient is based on the Chi-square statistic and is used in contingency table analysis, which is a type of non-parametric method used in statistics.
Let's assume the following values:
Step 1: Calculate the denominator:
\[ n + \chi^2 = 50 + 10 = 60 \]
Step 2: Divide the Chi-square statistic by the denominator:
\[ \frac{\chi^2}{n + \chi^2} = \frac{10}{60} \approx 0.1667 \]
Step 3: Take the square root of the quotient to get the Contingency Coefficient:
\[ C = \sqrt{0.1667} \approx 0.4082 \]
