Enter the Chi-square statistic and total number of observations into the calculator to determine the Contingency Coefficient. This calculator can also evaluate any of the variables given the others are known.

## Contingency Coefficient Formula

The following formula is used to calculate the Contingency Coefficient.

C = sqrt((Chi^2) / (n + (Chi^2)))

Variables:

• C is the Contingency Coefficient
• Chi is the Chi-square statistic
• n is the total number of observations

To calculate the Contingency Coefficient, square the Chi-square statistic. Divide this result by the sum of the total number of observations and the squared Chi-square statistic. Finally, take the square root of the quotient to get the Contingency Coefficient.

## What is a Contingency Coefficient?

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.

## How to Calculate Contingency Coefficient?

The following steps outline how to calculate the Contingency Coefficient.

1. First, determine the value of the Chi-square statistic (Chi).
2. Next, determine the total number of observations (n).
3. Next, gather the formula from above = C = sqrt((Chi^2) / (n + (Chi^2))).
4. Finally, calculate the Contingency Coefficient.
5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Chi-square statistic (Chi) = 25

Total number of observations (n) = 100