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Erschienen in:
Recipes for a Good Statistical Analysis Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

8. Fitting Regression Models

verfasst von : Stefano Andreon, Brian Weaver

Erschienen in: Bayesian Methods for the Physical Sciences

Verlag: Springer International Publishing

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Abstract

In this chapter we introduce regression models, i.e., how to fit (regress) one, or more quantities, against each other through a functional relationship and estimate any unknown parameters that dictate this relationship. Questions of interest include: how to deal with samples affected by selection effects? How does a rich data structure influence the fitted parameters? And what about non-linear multiple-predictor fits, upper/lower limits, measurement errors of different amplitudes and an intrinsic variety in the studied populations, or an extra source of variability? A number of examples illustrate how to answer these questions and how to predict the value of an unavailable quantity by exploiting the existence of a trend with another, available, quantity.

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Vorheriges Kapitel Non-random Data Collection
Nächstes Kapitel Model Checking and Sensitivity Analysis
Fußnoten
1
Part of the material of this section has been drawn from Andreon and Hurn (2013).
 
2
This example draws material from (the end-course assessment relation of) Andrea Benaglia.
 
4
This section draws material from Andreon and Bergé (2012).
 
5
There is only a 10 % probability that in a 5-parameter fit, all fitted values are found within 1 σ from the input values and 50 % that they are all within 1.5 σ.
 
6
Part of the material of this section has been drawn from Andreon and Hurn (2010).
 
7
This section has been drawn from Andreon (2012b).
 
9
The material of this section has been drawn from Andreon (2012a).
 
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Metadaten
Titel
Fitting Regression Models
verfasst von
Stefano Andreon
Brian Weaver
Copyright-Jahr
2015
Buch
Bayesian Methods for the Physical Sciences

Print ISBN: 978-3-319-15286-8

Electronic ISBN: 978-3-319-15287-5

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-15287-5_8