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Nonparametric Location Tests Based on the Empirical Distribution

✍ Scribed by Doz. Dr. Juerg Huesler; Prof. Dr. Hans Riedwyl


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
427 KB
Volume
30
Category
Article
ISSN
0323-3847

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✦ Synopsis


We present a unified approach to the nonparametric cornparison of locations in the one-and two sample case using the empirical distribution functions. This approach reveals how to define a simple test statistic for this comparison in the case of large sample sizes which is equivalent to the known Wilwxon-Mann-Whitney statistics and is bawd on the grouping of the data. I n the particular case of equal group sizes we find an extremely simple form for this location test.


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The binomial teat ie applied for the problem of W i n g a hypothesie b d on a ample of independent, but non-identially distributed random variables. The nsed beeio ides h that each random variable indicates the presence of the hypotheah. Hence each random variable h transformed such that the binomia