Mantel-Haenszel Odds Ratio

Problem

Return the Mantel-Haenszel pooled odds ratio sum(a_i*d_i/n_i)/sum(b_i*c_i/n_i) over a list of 2x2 tables. Return 0.0 when a table has no observations or the denominator sum is zero.

Hint

MH pooling weights each stratum's cross-product by its sample size.

Test cases

case 1

in: [[[[10,20],[30,40]],[[5,15],[10,30]]]]

expected: 0.7647058823529411

case 2

in: [[[[20,80],[10,90]],[[30,70],[15,85]]]]

expected: 2.3513513513513513

case 3

in: [[[[10,10],[10,10]]]]

expected: 1

case 4

in: [[]]

expected: 0

case 5

in: [[[[5,0],[0,5]]]]

expected: 0

Starter codePython

def mh_odds_ratio(tables):
    # Your code here
    pass

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