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On Residual Analysis in the GMANOVA-MANOVA Model

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Trends in Mathematical, Information and Data Sciences

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 445))

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Abstract

In this article, the GMANOVA-MANOVA model is considered. Two different matrix residuals are established. The interpretation of the residuals is discussed and several properties are verified. A data set illustrates how the residuals can be used.

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References

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Acknowledgements

The research of Béatrice Byukusenge has been supported by the sub-program of Applied Mathematics and Statistics under the Sida-funded bilateral program, The University of Rwanda-Sweden Programme for Research, Higher Education and Institutional Advancement. Dietrich von Rosen is supported by the Swedish Research Council (2017-03003).

Author information

Authors and Affiliations

  1. Department of Mathematics, Linköping University, Linköping, Sweden

    Béatrice Byukusenge, Dietrich von Rosen & Martin Singull

  2. Department of Mathematics, University of Rwanda, Kigali, Rwanda

    Béatrice Byukusenge

  3. Energy and Technology, Swedish University of Agricultural Sciences, Uppsala, Sweden

    Dietrich von Rosen

Authors
  1. Béatrice Byukusenge
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  2. Dietrich von Rosen
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  3. Martin Singull
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Corresponding author

Correspondence to Béatrice Byukusenge .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

    Narayanaswamy Balakrishnan

  2. Department of Statistics and OR and TM, University of Oviedo, Oviedo, Asturias, Spain

    María Ángeles Gil

  3. Department of Financial and Actuarial Economics & Statistics, Complutense University of Madrid, Madrid, Spain

    Nirian Martín

  4. Department of Statistics, Mathematics and Informatics, Miguel Hernández University of Elche, Elche, Spain

    Domingo Morales

  5. Department of Statistics and Operational Research, Complutense University of Madrid, Madrid, Spain

    María del Carmen Pardo

Appendix

Appendix

See Tables 1 and 2.

Table 1 Repeated measurements for individuals in Group 1, i.e., treated with azathioprine alone, together with the covariates ‘Previously treated’ and ‘Age’
Full size table
Table 2 Repeated measurements for individuals in Group 2, i.e., treated with azathioprine and methylprenisommne, together with the covariates ‘Previously treated’ and ‘Age’
Full size table

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Byukusenge, B., von Rosen, D., Singull, M. (2023). On Residual Analysis in the GMANOVA-MANOVA Model. In: Balakrishnan, N., Gil, M.Á., Martín, N., Morales, D., Pardo, M.d.C. (eds) Trends in Mathematical, Information and Data Sciences. Studies in Systems, Decision and Control, vol 445. Springer, Cham. https://doi.org/10.1007/978-3-031-04137-2_24

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  • DOI: https://doi.org/10.1007/978-3-031-04137-2_24

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  • Print ISBN: 978-3-031-04136-5

  • Online ISBN: 978-3-031-04137-2

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