Computational Mathmatics

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Two-Sample Multivariate Test of Homogeneity Using Weighted Nearest Neighbours
(2012) Areej Ali Said Barakat; Dr. Mohammad Najib Ass'ad
In this research we proposed a two-sample test related to that proposed by Schilling and Barakat tests , by taking into account all the points and their positions according to the nearest to the nearest technique starting from the point which represents the median . Schilling did not do that ,since he just applied his test by using the first nearest neighbour , two nearest neighbours, or first three nearest neighbours and we also took the nearest to the nearest point to the median which Barakat did not do since he took all the nearest neighbours to the starting point. That’s to say in our proposed test we will give more weight to the most nearest neighbour to the starting point which is the median than the remaining nearest neighbours and so on. We proposed a test statistic and proved that its distribution is normal. We construct a MATLAB computer program to compute our test statistic.