Abstract
It is shown in this paper that the tail probability of the usual Student’s t statistic under the assumption that the sample arises from a symmetrically truncated normal population, is greater than the corresponding tail probability of the usual t-distribution under normality assumptions for the population for sufficiently large values of t.
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References
Efron, B. (1969), “Student’s t-test under symmetry conditions”.Journal of the American Statistical Association,64, 1278–1302.
Hotelling, H. (1961), “The behavior of some standard tests under non-standard conditions”.Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability 1, 319–360.
Mukherjee, G. K. (1971), “On Student’s t-test based on truncated normal distribution”. Ph.D. thesis, The University of Western Ontario.
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© 1987 D. Reidel Publishing Company
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Ali, M.M. (1987). A Bound for the Tail Area of the t Distribution for Samples from a Symmetrically Truncated Normal Population. In: MacNeill, I.B., Umphrey, G.J., Safiul Haq, M., Harper, W.L., Provost, S.B. (eds) Advances in the Statistical Sciences: Foundations of Statistical Inference. The University of Western Ontario Series in Philosophy of Science, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4788-7_16
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DOI: https://doi.org/10.1007/978-94-009-4788-7_16
Publisher Name: Springer, Dordrecht
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