Skip to main content
Erschienen in:
Buchtitelbild

2017 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : David J. Olive

Erschienen in: Linear Regression

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This chapter provides a preview of the book but is presented in a rather abstract setting and will be easier to follow after reading the rest of the book. The reader may omit this chapter on first reading and refer back to it as necessary. Chapters 2 to 9 consider multiple linear regression and experimental design models fit with least squares. Chapter 1 is useful for extending several techniques, such as response plots and plots for response transformations used in those chapters, to alternative fitting methods and to alternative regression models. Chapter 13 illustrates some of these extensions for the generalized linear model (GLM) and the generalized additive model (GAM).

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Aldrin, M., Bϕlviken, E., & Schweder, T. (1993). Projection pursuit regression for moderate non-linearities. Computational Statistics & Data Analysis, 16, 379–403. Aldrin, M., Bϕlviken, E., & Schweder, T. (1993). Projection pursuit regression for moderate non-linearities. Computational Statistics & Data Analysis, 16, 379–403.
Zurück zum Zitat Beaton, A. E., Martin, M. O., Mullis, I. V. S., Gonzales, E. J., Smith, T. A., & Kelly, D. L. (1996). Science Achievement in the Middle School Years: IEA’s Third International Mathematics and Science Study. Chestnut Hill, MA: TIMSS International Study Center. Beaton, A. E., Martin, M. O., Mullis, I. V. S., Gonzales, E. J., Smith, T. A., & Kelly, D. L. (1996). Science Achievement in the Middle School Years: IEA’s Third International Mathematics and Science Study. Chestnut Hill, MA: TIMSS International Study Center.
Zurück zum Zitat Box, G. E. P. (1979). Robustness in the strategy of scientific model building. In R. Launer & G. Wilkinson (Eds.), Robustness in statistics (pp. 201–235). New York, NY: Academic Press.CrossRef Box, G. E. P. (1979). Robustness in the strategy of scientific model building. In R. Launer & G. Wilkinson (Eds.), Robustness in statistics (pp. 201–235). New York, NY: Academic Press.CrossRef
Zurück zum Zitat Brillinger, D. R. (1983). A generalized linear model with “Gaussian” regressor variables. In P. J. Bickel, K. A. Doksum, & J. L. Hodges (Eds.), A Festschrift for Erich L. Lehmann (pp. 97–114). Pacific Grove, CA: Wadsworth. Brillinger, D. R. (1983). A generalized linear model with “Gaussian” regressor variables. In P. J. Bickel, K. A. Doksum, & J. L. Hodges (Eds.), A Festschrift for Erich L. Lehmann (pp. 97–114). Pacific Grove, CA: Wadsworth.
Zurück zum Zitat Chang, J., & Olive, D. J. (2010). OLS for 1D regression models. Communications in statistics: Theory and methods, 39, 1869–1882.MathSciNetCrossRefMATH Chang, J., & Olive, D. J. (2010). OLS for 1D regression models. Communications in statistics: Theory and methods, 39, 1869–1882.MathSciNetCrossRefMATH
Zurück zum Zitat Collett, D. (1999). Modelling binary data (1st ed.). Boca Raton, FL: Chapman & Hall/CRC.MATH Collett, D. (1999). Modelling binary data (1st ed.). Boca Raton, FL: Chapman & Hall/CRC.MATH
Zurück zum Zitat Cook, R. D. (1998). Regression graphics: Ideas for studying regression through graphics. New York, NY: Wiley.CrossRefMATH Cook, R. D. (1998). Regression graphics: Ideas for studying regression through graphics. New York, NY: Wiley.CrossRefMATH
Zurück zum Zitat Cook, R. D., & Weisberg, S. (1999a). Applied regression including computing and graphics. New York, NY: Wiley. Cook, R. D., & Weisberg, S. (1999a). Applied regression including computing and graphics. New York, NY: Wiley.
Zurück zum Zitat Daniel, C., & Wood, F. S. (1980). Fitting equations to data (2nd ed.). New York, NY: Wiley.MATH Daniel, C., & Wood, F. S. (1980). Fitting equations to data (2nd ed.). New York, NY: Wiley.MATH
Zurück zum Zitat Furnival, G., & Wilson, R. (1974). Regression by leaps and bounds. Technometrics, 16, 499–511.CrossRefMATH Furnival, G., & Wilson, R. (1974). Regression by leaps and bounds. Technometrics, 16, 499–511.CrossRefMATH
Zurück zum Zitat James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). An introduction to statistical learning with applications in R. New York, NY: Springer.CrossRefMATH James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). An introduction to statistical learning with applications in R. New York, NY: Springer.CrossRefMATH
Zurück zum Zitat Jones, H. L. (1946). Linear regression functions with neglected variables. Journal of the American Statistical Association, 41, 356–369.MathSciNetCrossRefMATH Jones, H. L. (1946). Linear regression functions with neglected variables. Journal of the American Statistical Association, 41, 356–369.MathSciNetCrossRefMATH
Zurück zum Zitat Mallows, C. (1973). Some comments on C p . Technometrics, 15, 661–676.MATH Mallows, C. (1973). Some comments on C p . Technometrics, 15, 661–676.MATH
Zurück zum Zitat Olive, D. J. (2013b). Plots for generalized additive models. Communications in Statistics: Theory and Methods, 42, 2610–2628. Olive, D. J. (2013b). Plots for generalized additive models. Communications in Statistics: Theory and Methods, 42, 2610–2628.
Zurück zum Zitat Olive, D. J., & Hawkins, D. M. (2005). Variable selection for 1D regression models. Technometrics, 47, 43–50.MathSciNetCrossRef Olive, D. J., & Hawkins, D. M. (2005). Variable selection for 1D regression models. Technometrics, 47, 43–50.MathSciNetCrossRef
Zurück zum Zitat Severini, T. A. (1998). Some properties of inferences in misspecified linear models. Statistics & Probability Letters, 40, 149–153.MathSciNetCrossRefMATH Severini, T. A. (1998). Some properties of inferences in misspecified linear models. Statistics & Probability Letters, 40, 149–153.MathSciNetCrossRefMATH
Metadaten
Titel
Introduction
verfasst von
David J. Olive
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-55252-1_1