Given independent multivariate random samples x1, x2, ..., xnand y1, y2….yn from distributions F and G, a test is desired for Ho: F = G against general alternatives. Consider the k (n + n2) possible ways of choosing one observation from the combined samples and then one of its k nearest neighbors, and let Sk be the proportion of these choices in which the point and neighbor are in the came sample. SCHILLING (1986) proposed Sk as a test statistic, but did not indicate how to determine k. BARAKAT, QUADE, and SALAMA (1996) proposed a test statistic W=1 kSk, which is equivalent to a sum of N Wilkoxon rank sums. The limiting distribution of the test was not found yet. We suggest as a test statistic TM=ΣΣ h(m,j), Where h (m,j) = I{Jth nearest neighbor of the median m is a y}.
Barakat, A. (2000). Two-Sample Nonparametric Test of Homogeneity. The Egyptian Statistical Journal, 44(2), 250-262. doi: 10.21608/esju.2000.313838
MLA
Ali S. Barakat. "Two-Sample Nonparametric Test of Homogeneity", The Egyptian Statistical Journal, 44, 2, 2000, 250-262. doi: 10.21608/esju.2000.313838
HARVARD
Barakat, A. (2000). 'Two-Sample Nonparametric Test of Homogeneity', The Egyptian Statistical Journal, 44(2), pp. 250-262. doi: 10.21608/esju.2000.313838
VANCOUVER
Barakat, A. Two-Sample Nonparametric Test of Homogeneity. The Egyptian Statistical Journal, 2000; 44(2): 250-262. doi: 10.21608/esju.2000.313838
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