Paired Differences t Statistic

Problem

For paired data, t = mean(d) / (s_d / sqrt(n)) where s_d is the sample standard deviation of the differences with n - 1 in the denominator.

Given the differences, return t. Assume n >= 2.

Hint

Treat the paired differences as a single one-sample problem.

case 1

in: [[1,2,3]]

expected: 3.464101615137755

case 2

in: [[1,-1,1,-1]]

expected: 0

case 3

in: [[0.5,1,1.5]]

expected: 3.464101615137755

Starter codePython

def paired_differences_t_statistic(differences):
    # Your code here
    pass

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