The test statistic used in the Kolmogorov-Smirnov one-sample test is ________.
A) K = Max ∣ Oi,Ai∣
B) K = Min ∣ Oi ,Ai ∣
C) K = Max ∣Ai - Oi ∣
D) K = Min ∣Ai - Oi ∣

Question

Quizplus · Accepted Answer

The Kolmogorov-Smirnov test compares the cumulative distribution function (cdf) of the sample with the cdf of the population. The test statistic K is the maximum difference between the two cdfs, which is calculated as the maximum absolute difference between the observed cumulative probabilities (Oi) and the theoretical cumulative probabilities (Ai) for each value in the sample. Therefore, the correct formula for K is K = Max ∣Ai - Oi ∣.

The Test Statistic Used in the Kolmogorov-Smirnov One-Sample Test Is