Chapter 10 Other Tests

In this chapter we present a well-known test for the problem if two independent samples are drawn from the same population or not. The test is based on very few assumptions, for example, it is not necessary to specify the distributions beyond the fact that they are continuous distributions.

10.1 Two-sample tests

10.1.1 Kolmogorov–Smirnov two-sample test (Smirnov test)

Description:	Tests if two independent samples are sampled from the same distribution.
Assumptions:	Data are at least measured on an ordinal scale. The random variables $c10-math-0001$ and $c10-math-0002$ are independent with continuous distribution functions $c10-math-0003$ and $c10-math-0004$ . Samples $c10-math-0005$ and $c10-math-0006$ are independently drawn from the two populations.
Hypotheses:	(A) $c10-math-0007$ vs for at least one
(B) vs with for at least one
(C) vs with for at ...