Enter the population of group A in area i, the total population of group A, the population of group B in area i, and the total population of group B into the calculator to determine the Dissimilarity Index.

## Dissimilarity Index Formula

The following formula is used to calculate the Dissimilarity Index.

DI = 0.5 * Σ |(Ai / A) - (Bi / B)|

Variables:

- DI is the Dissimilarity Index
- Ai is the population of group A in area i
- A is the total population of group A
- Bi is the population of group B in area i
- B is the total population of group B

## What is a Dissimilarity Index?

A Dissimilarity Index is a statistical measure used to represent the distribution of two different groups across a certain area, often used in the study of geographical patterns of racial segregation. It quantifies the degree to which the two groups are evenly spread among subareas of a larger area. The index ranges from 0 to 1, where 0 indicates perfect integration and 1 indicates complete segregation.

## How to Calculate Dissimilarity Index?

The following steps outline how to calculate the Dissimilarity Index.

- First, determine the population of group A in each area (Ai).
- Next, determine the total population of group A (A).
- Next, determine the population of group B in each area (Bi).
- Next, determine the total population of group B (B).
- Next, calculate the difference between the proportion of group A in each area and the proportion of group B in each area.
- Next, take the absolute value of each difference.
- Next, sum up all the absolute differences.
- Next, multiply the sum by 0.5.
- Finally, calculate the Dissimilarity Index (DI).
- 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.

population of group A in area 1 (Ai) = 100

population of group A in area 2 (Ai) = 150

total population of group A (A) = 500

population of group B in area 1 (Bi) = 200

population of group B in area 2 (Bi) = 100

total population of group B (B) = 400