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Simultaneous Inferences for Ratio Parameters Using Multiple Contrasts Test

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Book cover Modeling Dose-Response Microarray Data in Early Drug Development Experiments Using R

Part of the book series: Use R! ((USE R))

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Abstract

In Chap. 16, we wish to search for genes for which the mean gene-expression increases by 100 ×δ% from the control for at least one (perhaps the highest) dose, where δ is a relative biological ratio of interest. Genes can be tested for a pre-specified δ and can be ranked based on the significance of the ratio test. Genes found significant with a large δ are of higher interest to the biologists. We discuss the ratio test statistic and the link between Williams- and Marcus-type multiple contrasts tests (MCTs) and the corresponding ratio testing procedures

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References

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Author information

Authors and Affiliations

  1. Veterinary Medicine Research and Development, Pfizer Animal Health, Zaventem, Belgium

    Dan Lin

  2. Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Center for Statistics (CenStat), Hasselt University, Diepenbeek, Belgium

    Ziv Shkedy & Tomasz Burzykowski

  3. Department of Mathematics and Statistics, South Dakota State University, Brookings, SD, USA

    Gemechis D. Djira

  4. Institute of Biostatistics, Leibniz University Hannover, Hannover, Germany

    Ludwig A. Hothorn

Authors
  1. Dan Lin
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  2. Gemechis D. Djira
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  3. Ziv Shkedy
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  4. Tomasz Burzykowski
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  5. Ludwig A. Hothorn
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Corresponding author

Correspondence to Dan Lin .

Editor information

Editors and Affiliations

  1. , VMRD, Pfizer Animal Health, Hoge Wei 1, Zaventem, 1930, Belgium

    Dan Lin

  2. Center for Statistics, Hasselt University, Agoralaan 1, Diepenbeek, 3590, Belgium

    Ziv Shkedy

  3. , Department of Statistics and, School of Mathematical Sciences, Ramat Aviv, Tel Aviv, 69978, Israel

    Daniel Yekutieli

  4. Johnson & Johnson, Route 202 1000, Raritan, 08869, New Jersey, USA

    Dhammika Amaratunga

  5. , Biostatistics and Programming Center of, Janssen Pharmaceutica, Turnhoutseweg 30, Beerse, 2340, Belgium

    Luc Bijnens

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© 2012 Springer-Verlag Berlin Heidelberg

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Lin, D., Djira, G.D., Shkedy, Z., Burzykowski, T., Hothorn, L.A. (2012). Simultaneous Inferences for Ratio Parameters Using Multiple Contrasts Test. In: Lin, D., Shkedy, Z., Yekutieli, D., Amaratunga, D., Bijnens, L. (eds) Modeling Dose-Response Microarray Data in Early Drug Development Experiments Using R. Use R!. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24007-2_16

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