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A modified runs test for symmetry
Authors:J Corzo  G Babativa
Institution:1. Departament of Statistics , National University of Colombia , Bogotá jacorzos@bt.unal.edu.co jgbabativam@bt.unal.edu.co;3. Departament of Statistics , Santo Tomás University , Colombia , Bogotá
Abstract:We propose a modification of a Modarres–Gastwirth test for the hypothesis of symmetry about a known center. By means of a Monte Carlo Study we show that the modified test overtakes the original Modarres–Gastwirth test for a wide spectrum of asymmetrical alternatives coming from the lambda family and for all assayed sample sizes. We also show that our test is the best runs test among the runs tests we have compared.
Keywords:runs test  test of symmetry  generalized lambda family  power
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