Abstract
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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References
Herrendörfer, G. (ed.) Probleme der angewandten Statistik. Heft 4. Robustheit I. AdL der DDR. Forschungszentrum für Tierproduktion Dummerstorf-Rostock 1980.
Johnson, N. J. Modified t Tests and Confidence Intervalls for Asymmetrical populations. JASA 73 (1978) 536–544.
Rasch, D., Teuscher. F. Das System der gestutzten Normalverteilungen. 7. Sitzungsbericht der Interessengemeinschaft Mathema-tische Statistik MG DDR, Berlin 1982, 51–60.
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© 1984 Academy of Agricultural Sciences of the GDR, Research Centre of Animal Production, Dummerstorf-Rostock, DDR 2551 Dummerstorf.
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Teuscher, F. (1984). Simulation Studies on Robustness of the t- and u-Test against Truncation of the Normal Distribution. In: Rasch, D., Tiku, M.L. (eds) Robustness of Statistical Methods and Nonparametric Statistics. Theory and Decision Library, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6528-7_33
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DOI: https://doi.org/10.1007/978-94-009-6528-7_33
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