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Important Applications of the Behrens-Fisher Statistic and the False Discovery Rate

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-3-030-99888-2

ISBN: 978-3-030-99887-5

Publisher: Springer International Publishing - Springer Journals

Apr 18, 2022

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The Behrens-Fisher Statistic

A. Desai, T.

Pages: 1 –2

[In this brief chapter, we introduce the Behrens-Fisher statistic for testing equality of means, and demonstrate that it is asymptotically standard normal.]
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One-Way ANOVA with Possible Heteroscedasticity of Variances and Non-Normality of Errors

A. Desai, T.

Pages: 3 –13

[In this chapter, we start out by positing the Behrens-Fisher statistic as the statistic of choice for testing equality of two means. After, numerically showing that the CLT applies to this statistic, we consider the problem of testing equality of more than two means. The FDR (the false discovery...
Available

One-Way MANOVA with Possible Heteroscedasticity and Non-Normality of Errors

A. Desai, T.

Pages: 15 –49

[In this chapter, we show how the Behrens-Fisher statistic can be used in conjunction with the FDR to test one-way MANOVA in the possible presence of heteroscedasticity or non-normality of errors. We numerically compare our approach to the classical Wilks’ lambda statistic and also to a robust...
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Statistical Analysis of s × r Tables When the Column Variable Is Ordinal

A. Desai, T.

Pages: 51 –82

[In this chapter, we propose the Behrens-Fisher statistic as an intuitive alternative to the Cochran-Mantel-Haenszel statistic for analyzing s × r contingency tables when the column variable is ordinal. We compare and contrast our method with the Cochran-Mantel-Haenszel methodology using...
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Concluding Remarks

A. Desai, T.

Pages: 83 –83

[In this chapter, we conclude this brief book with some concluding remarks.]

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Important Applications of the Behrens-Fisher Statistic and the False Discovery Rate

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