Enter the number of black individuals in each area, the total number of black individuals, the number of white individuals in each area, and the total number of white individuals into the calculator to determine the Duncan Index of Dissimilarity.
Duncan Index Of Dissimilarity Formula
The following formula is used to calculate the Duncan Index of Dissimilarity.
D = 0.5 * Σ |(Bi / B) - (Wi / W)|
Variables:
- D is the Duncan Index of Dissimilarity
- Bi is the number of black individuals in each area
- B is the total number of black individuals in the total area
- Wi is the number of white individuals in each area
- W is the total number of white individuals in the total area
To calculate the Duncan Index of Dissimilarity, for each area, divide the number of black individuals by the total number of black individuals, and subtract the number of white individuals divided by the total number of white individuals. Take the absolute value of this difference. Sum these values for all areas, and then multiply by 0.5. This will give the Duncan Index of Dissimilarity, which measures the racial segregation between black and white individuals across different areas.
What is a Duncan Index Of Dissimilarity?
The Duncan Index of Dissimilarity is a statistical measure used in social sciences to quantify the degree of segregation between two groups. It calculates the percentage of one group that would have to change their geographic location in order for the two groups to be distributed evenly across a specified area. The index ranges from 0 (complete integration) to 100 (complete segregation). It was developed by American sociologist Otis Dudley Duncan.
How to Calculate Duncan Index Of Dissimilarity?
The following steps outline how to calculate the Duncan Index of Dissimilarity.
- First, determine the number of black individuals in each area (Bi).
- Next, determine the total number of black individuals in the total area (B).
- Next, determine the number of white individuals in each area (Wi).
- Finally, determine the total number of white individuals in the total area (W).
- After gathering the necessary variables, use the formula D = 0.5 * Σ |(Bi / B) - (Wi / W)| to calculate the Duncan Index of Dissimilarity.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Bi (number of black individuals in each area) = 120, 80, 150, 90
B (total number of black individuals in the total area) = 440
Wi (number of white individuals in each area) = 80, 100, 70, 120
W (total number of white individuals in the total area) = 370
