ABSTRACT
Suppose that two independent samples of sizes m and n are drawn from two continuous populations so that we have a total of N = m + n observations. We want to test the null hypothesis of identical distributions. The location alternative is that the populations have the same form but a different measure of central tendency. This can be expressed in symbols as follows: H 0 : F Y ( x ) = F X ( x ) for all x H L : F Y ( x ) = F X ( x − θ ) for all x and some θ ≠ 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315110479/e7c29fd7-a190-4d6c-a6a1-ecc3d4c4b563/content/TNF-CH008_eqn_0001.tif"/>
