Communality and Uniqueness

Problem

Return [communality, uniqueness] = [sum of squared loadings, 1 - sum of squared loadings] for a variable's factor loadings. Return [0.0, 1.0] for empty input.

Hint

Communality is the variance a variable shares with the factors.

Test cases

case 1

in: [[0.8,0.5]]

expected: [0.8900000000000001,0.10999999999999988]

case 2

in: [[1,0]]

expected: [1,0]

case 3

in: [[0,0]]

expected: [0,1]

case 4

in: [[]]

expected: [0,1]

case 5

in: [[0.6,0.6,0.6]]

expected: [1.08,-0.08000000000000007]

Starter codePython

def communality_uniqueness(loadings):
    # Your code here
    pass

5 test cases · run your code against them in the editor