# Testing the equality of distributions of random vectors with categorical components

##### Citations

229 citations

### Cites methods from "Testing the equality of distributio..."

...A general non-parametric procedure for comparing vectors with categorical components was used to detect differences between the two haplotype distributions (36)....

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188 citations

### Cites methods from "Testing the equality of distributio..."

...It was a two-stage method that separated the splitting-variable selection (using the statistic test of Nettleton and Banerjee170) and the splitting-point selection (that generates binary partitions of data) steps....

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...It was a two-stage method that separated the splitting-variable selection (using the statistic test of Nettleton and Banerjee [144]) and the splittingpoint selection (that generates binary partitions of data) steps....

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25 citations

21 citations

### Cites background or methods from "Testing the equality of distributio..."

...Recently, Nettleton and Banerjee (2001) proposed a method for testing the equality of distributions of random vectors with categorical components, which is a specialization of the methods of Friedman and Rafsky (1979, 1983)....

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...According to the results of Nettleton and Banerjee (2001), the conditional expectation and variance of T are E(T | ex; ey) = ey [ 1 − 2ex nt(nt − 1) ] ; (1) Var(T | ex; Cx; ey; Cy) = 2exeynt(nt − 1) [ 1 − 2exey nt(nt − 1) ] + 4 nt(nt − 1)(nt − 2) × [ CxCy + {ex(ex − 1) − 2Cx}{ey(ey − 1) − 2Cy} nt −…...

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...Nettleton and Banerjee (2001) proposed the test statistic T for testing the equality of several distributions....

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...…= the number of elements in Nt ; Cy = the number of edge pairs consisting of elements in Nt that share a common Y: Under H0 : FtL = FtR with some regularity conditions, S = T − E(T | ex; ey)√ Var(T |ex; Cx; ey; Cy) (3) has an asymptotic N(0; 1) distribution (see Nettleton and Banerjee, 2001)....

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19 citations

### Cites methods from "Testing the equality of distributio..."

...The first one is the test proposed by Nettleton and Banerjee (2001) (NB hereafter), which applied the testing procedure of Friedman and Rafsky (1979) to compare distributions of random vectors with categorical components....

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##### References

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