Simulation Studies on Robustness of the t- and u-Test against Truncation of the Normal Distribution

  • Friedrich Teuscher
Part of the Theory and Decision Library book series (TDLB, volume 1)


The aim of this simulation-study was to determine the influence of the truncation of a normal-distributed random variable (in practice occuring e. g. by selection) on the power functions of three tests, the t-test, the u-test and a modified Johnson-test. Particularly we were interested in finding sample sizes ensuring a good behaviour of the tests. More precisely, we looked for an no so that a test is “ε-robust” for n> n* (Herrendorfer, G., (ed.) (1980)).


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  1. Herrendörfer, G. (ed.) Probleme der angewandten Statistik. Heft 4. Robustheit I. AdL der DDR. Forschungszentrum für Tierproduktion Dummerstorf-Rostock 1980.Google Scholar
  2. Johnson, N. J. Modified t Tests and Confidence Intervalls for Asymmetrical populations. JASA 73 (1978) 536–544.zbMATHGoogle Scholar
  3. Rasch, D., Teuscher. F. Das System der gestutzten Normalverteilungen. 7. Sitzungsbericht der Interessengemeinschaft Mathema-tische Statistik MG DDR, Berlin 1982, 51–60.Google Scholar

Copyright information

© Academy of Agricultural Sciences of the GDR, Research Centre of Animal Production, Dummerstorf-Rostock, DDR 2551 Dummerstorf. 1984

Authors and Affiliations

  • Friedrich Teuscher
    • 1
  1. 1.Academy of Agricultural Sciences of the GDRResearch Centre of Animal ProductionDummerstorf-RostockGermany

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