Redundancy Index

Problem

Return the redundancy index rc^2 * mean(squared_loadings), the share of one variable set's variance explained by the other set's canonical variate. Return 0.0 for empty loadings.

Hint

Redundancy is the intersection of shared variance with the variance actually extracted.

Test cases

case 1

in: [0.8,[0.7,0.6,0.5]]

expected: 0.38400000000000006

case 2

in: [0.5,[1]]

expected: 0.25

case 3

in: [0.9,[0.9,0.8]]

expected: 0.6885000000000001

case 4

in: [0,[0.5,0.5]]

expected: 0

case 5

in: [0.6,[]]

expected: 0

Starter codePython

def redundancy_index(rc, squared_loadings):
    # Your code here
    pass

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