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2015 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Thomas W. Yee

Erschienen in: Vector Generalized Linear and Additive Models

Verlag: Springer New York

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Abstract

This chapter gives a short survey of the whole statistical framework behind this book: VGLMs, VGAMs, RR-VGLMs, QRR-VGLMs, etc. Six regression models are used to illustrate them collectively and motivate some crucial concepts, e.g., constraint matrices, latent variables and the xij argument. Some elements of the S language are briefly summarized, especially those related to regression modelling as a whole.

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Literatur
Zurück zum Zitat Anderson, J. A. 1984. Regression and ordered categorical variables. Journal of the Royal Statistical Society, Series B 46(1):1–30. With discussion. Anderson, J. A. 1984. Regression and ordered categorical variables. Journal of the Royal Statistical Society, Series B 46(1):1–30. With discussion.
Zurück zum Zitat Anderson, T. W. 1951. Estimating linear restrictions on regression coefficients for multivariate normal distributions. Annals of Mathematical Statistics 22(3):327–351.MATHMathSciNetCrossRef Anderson, T. W. 1951. Estimating linear restrictions on regression coefficients for multivariate normal distributions. Annals of Mathematical Statistics 22(3):327–351.MATHMathSciNetCrossRef
Zurück zum Zitat Chambers, J. M. 1998. Programming with Data: A Guide to the S Language. New York: Springer.MATHCrossRef Chambers, J. M. 1998. Programming with Data: A Guide to the S Language. New York: Springer.MATHCrossRef
Zurück zum Zitat Chambers, J. M. 2008. Software for Data Analysis: Programming with R. Statistics and Computing. New York: Springer. Chambers, J. M. 2008. Software for Data Analysis: Programming with R. Statistics and Computing. New York: Springer.
Zurück zum Zitat Chambers, J. M. and T. J. Hastie (Eds.) 1991. Statistical Models in S. Pacific Grove: Wadsworth/Brooks Cole. Chambers, J. M. and T. J. Hastie (Eds.) 1991. Statistical Models in S. Pacific Grove: Wadsworth/Brooks Cole.
Zurück zum Zitat de Vries, A. and J. Meys 2012. R for Dummies. Chichester: Wiley. de Vries, A. and J. Meys 2012. R for Dummies. Chichester: Wiley.
Zurück zum Zitat Goodman, L. A. 1981. Association models and canonical correlation in the analysis of cross-classifications having ordered categories. Journal of the American Statistical Association 76(374):320–334.MathSciNet Goodman, L. A. 1981. Association models and canonical correlation in the analysis of cross-classifications having ordered categories. Journal of the American Statistical Association 76(374):320–334.MathSciNet
Zurück zum Zitat Hastie, T. J. and R. J. Tibshirani 1990. Generalized Additive Models. London: Chapman & Hall.MATH Hastie, T. J. and R. J. Tibshirani 1990. Generalized Additive Models. London: Chapman & Hall.MATH
Zurück zum Zitat Huber, P. J. 2011. Data Analysis: What Can Be Learned From the Past 50 Years. Hoboken, NJ, USA: Wiley.CrossRef Huber, P. J. 2011. Data Analysis: What Can Be Learned From the Past 50 Years. Hoboken, NJ, USA: Wiley.CrossRef
Zurück zum Zitat Ihaka, R. and R. Gentleman 1996. R: A language for data analysis and graphics. Journal of Computational and Graphical Statistics 5(3):299–314. Ihaka, R. and R. Gentleman 1996. R: A language for data analysis and graphics. Journal of Computational and Graphical Statistics 5(3):299–314.
Zurück zum Zitat Imai, K., G. King, and O. Lau 2008. Toward a common framework for statistical analysis and development. Journal of Computational and Graphical Statistics 17(4):892–913.MathSciNetCrossRef Imai, K., G. King, and O. Lau 2008. Toward a common framework for statistical analysis and development. Journal of Computational and Graphical Statistics 17(4):892–913.MathSciNetCrossRef
Zurück zum Zitat Izenman, A. J. 1975. Reduced-rank regression for the multivariate linear model. Journal of Multivariate Analysis 5(2):248–264.MATHMathSciNetCrossRef Izenman, A. J. 1975. Reduced-rank regression for the multivariate linear model. Journal of Multivariate Analysis 5(2):248–264.MATHMathSciNetCrossRef
Zurück zum Zitat James, G., D. Witten, T. Hastie, and R. Tibshirani 2013. An Introduction to Statistical Learning with Applications in R. New York, USA: Springer.MATHCrossRef James, G., D. Witten, T. Hastie, and R. Tibshirani 2013. An Introduction to Statistical Learning with Applications in R. New York, USA: Springer.MATHCrossRef
Zurück zum Zitat Keogh, R. H. and D. R. Cox 2014. Case-Control Studies. New York, USA: Cambridge University Press.MATHCrossRef Keogh, R. H. and D. R. Cox 2014. Case-Control Studies. New York, USA: Cambridge University Press.MATHCrossRef
Zurück zum Zitat McCullagh, P. and J. A. Nelder 1989. Generalized Linear Models (Second ed.). London: Chapman & Hall. McCullagh, P. and J. A. Nelder 1989. Generalized Linear Models (Second ed.). London: Chapman & Hall.
Zurück zum Zitat Nelder, J. A. and R. W. M. Wedderburn 1972. Generalized linear models. Journal of the Royal Statistical Society, Series A 135(3):370–384.CrossRef Nelder, J. A. and R. W. M. Wedderburn 1972. Generalized linear models. Journal of the Royal Statistical Society, Series A 135(3):370–384.CrossRef
Zurück zum Zitat Page, L. A., S. Hajat, and R. S. Kovats 2007. Relationship between daily suicide counts and temperature in England and Wales. British Journal of Psychiatry 191(2):106–112.CrossRef Page, L. A., S. Hajat, and R. S. Kovats 2007. Relationship between daily suicide counts and temperature in England and Wales. British Journal of Psychiatry 191(2):106–112.CrossRef
Zurück zum Zitat Tibshirani, R. 1996. Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society, Series B 58(1):267–288.MATHMathSciNet Tibshirani, R. 1996. Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society, Series B 58(1):267–288.MATHMathSciNet
Zurück zum Zitat Tutz, G. 2012. Regression for Categorical Data. Cambridge: Cambridge University Press. Tutz, G. 2012. Regression for Categorical Data. Cambridge: Cambridge University Press.
Zurück zum Zitat Wilkinson, G. N. and C. E. Rogers 1973. Symbolic description of factorial models for analysis of variance. Journal of the Royal Statistical Society, Series C 22(3):392–399. Wilkinson, G. N. and C. E. Rogers 1973. Symbolic description of factorial models for analysis of variance. Journal of the Royal Statistical Society, Series C 22(3):392–399.
Zurück zum Zitat Yee, T. W. 2004a. A new technique for maximum-likelihood canonical Gaussian ordination. Ecological Monographs 74(4):685–701.MathSciNetCrossRef Yee, T. W. 2004a. A new technique for maximum-likelihood canonical Gaussian ordination. Ecological Monographs 74(4):685–701.MathSciNetCrossRef
Zurück zum Zitat Yee, T. W. 2006. Constrained additive ordination. Ecology 87(1):203–213.CrossRef Yee, T. W. 2006. Constrained additive ordination. Ecology 87(1):203–213.CrossRef
Zurück zum Zitat Yee, T. W. and A. F. Hadi 2014. Row-column interaction models, with an R implementation. Computational Statistics 29(6):1427–1445.MATHMathSciNetCrossRef Yee, T. W. and A. F. Hadi 2014. Row-column interaction models, with an R implementation. Computational Statistics 29(6):1427–1445.MATHMathSciNetCrossRef
Zurück zum Zitat Yee, T. W. and C. J. Wild 1996. Vector generalized additive models. Journal of the Royal Statistical Society, Series B 58(3):481–493.MATHMathSciNet Yee, T. W. and C. J. Wild 1996. Vector generalized additive models. Journal of the Royal Statistical Society, Series B 58(3):481–493.MATHMathSciNet
Zurück zum Zitat Zuur, A. F., E. N. Ieno, and E. H. Meesters 2009. A Beginner’s Guide to R. New York, USA: Springer.MATHCrossRef Zuur, A. F., E. N. Ieno, and E. H. Meesters 2009. A Beginner’s Guide to R. New York, USA: Springer.MATHCrossRef
Metadaten
Titel
Introduction
verfasst von
Thomas W. Yee
Copyright-Jahr
2015
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4939-2818-7_1