Testing for Equivalence of Means under Heteroskedasticity by an Approximate Solution of a Partial Differential Equation of Infinite Order

DOI10.1111/j.1467-9469.2010.00704.xzbMath1246.62020OpenAlexW1891083890WikidataQ115259517 ScholiaQ115259517MaRDI QIDQ2911657

Martin Bachmaier

Publication date: 1 September 2012

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9469.2010.00704.x

zbMATH Keywords

partial differential equationsBehrens-Fisher problemequivalence testsheterogeneous variances

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) PDEs in connection with statistics (35Q62)

Cites Work

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• A note on unbiased testing for the equivalence problem -- another Christmas tree
• An unbiased test for the bioequivalence problem
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• Testing statistical hypotheses, Wiley, New York 1959: The story of a book
• On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex half plane.
• Multiparameter Hypothesis Testing and Acceptance Sampling
• Size and Power of Tests for Equality of Means of Two Normal Populations with Unequal Variances
• An extension of Welch's approximate t-solution to comparative bioequivalence trials
• THE SIGNIFICANCE OF THE DIFFERENCE BETWEEN TWO MEANS WHEN THE POPULATION VARIANCES ARE UNEQUAL
• AN EXAMINATION AND FURTHER DEVELOPMENT OF A FORMULA ARISING IN THE PROBLEM OF COMPARING TWO MEAN VALUES

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