Factor Score

Problem

Return the regression factor score sum(l_i*z_i)/sum(l_i^2) for standardized variable scores and loadings. Return 0.0 for mismatched or empty input or a zero sum of squared loadings.

Hint

The regression method weights each standardized score by its loading.

Test cases

case 1

in: [[1,2],[1,1]]

expected: 1.5

case 2

in: [[2,-1],[0.8,0.6]]

expected: 1

case 3

in: [[1,1,1],[0.5,0.5,0.5]]

expected: 2

case 4

in: [[1,2],[0,0]]

expected: 0

case 5

in: [[5],[2]]

expected: 2.5

Starter codePython

def factor_score(z_scores, loadings):
    # Your code here
    pass

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