Paired t-Statistic

Problem

Return the paired t-statistic mean(d) / (sd(d)/sqrt(n)) for differences d_i = x_i - y_i, using the sample standard deviation. Return 0.0 when n < 2, the lengths differ, or the differences are constant.

Hint

Reduce the paired data to a single list of differences and run a one-sample t-test.

Test cases

case 1

in: [[1,2,3],[0,1,2]]

expected: 0

case 2

in: [[5,7,9],[2,3,4]]

expected: 6.92820323027551

case 3

in: [[10,12,14,16],[8,11,12,15]]

expected: 5.196152422706632

case 4

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

expected: 0

case 5

in: [[3],[1]]

expected: 0

Starter codePython

def paired_t_statistic(x, y):
    # Your code here
    pass

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