ABSTRACT
The natural extension of the two-sample problem is the k-sample problem, where observations are taken under a variety of different and independent conditions. Assume that we have k independent sets of observations, one from each of k continuous cdf’s F 1(x), F 2(x), …, F k (x), where the ith random sample is of size n i , i = 1, 2, …, k and there are a total of Σ i = 1 k n i = N https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315110479/e7c29fd7-a190-4d6c-a6a1-ecc3d4c4b563/content/TNF-CH010_eqn_0001.tif"/> observations. Note we are again assuming that independence extends across samples in addition to within samples. The extension of the two-sample problem to the k-sample problem is that all k samples are drawn from identical populations given by the null hypothesis: H 0 : F 1 ( x ) = F 2 ( x ) = ⋯ = F k ( x ) for all x https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315110479/e7c29fd7-a190-4d6c-a6a1-ecc3d4c4b563/content/TNF-CH010_eqn_0002.tif"/>
