Calculate Blau's Index for Education in an Ego Network

To calculate Blau's index with respect to Education, we need to first calculate the variance of Education within the ego network and the overall population.

For the ego network:

• Mean Education = (3+3+2)/3 = 2.67
• Variance of Education = [(3-2.67)^2 + (3-2.67)^2 + (2-2.67)^2]/3 = 0.44

For the overall population:

• Mean Education = (3+3+2+4+2+1+3+2+2+3)/10 = 2.4
• Variance of Education = [(3-2.4)^2 + (3-2.4)^2 + (2-2.4)^2 + (4-2.4)^2 + (2-2.4)^2 + (1-2.4)^2 + (3-2.4)^2 + (2-2.4)^2 + (2-2.4)^2 + (3-2.4)^2]/10 = 0.73

Blau's index is then calculated as:

(0.73 - 0.44)/0.73 = 0.4

Rounded to 2 decimal places, the Blau's index with respect to Education is 0.40.