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Regression and Model Fitting

Andrew J. Connolly, Jacob T. VanderPlas, Alexander Gray, Andrew J. Connolly, Jacob T. VanderPlas, and Alexander Gray

in Statistics, Data Mining, and Machine Learning in Astronomy: A Practical Python Guide for the Analysis of Survey Data

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691151687
eISBN:
9781400848911
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691151687.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Regression is a special case of the general model fitting and selection procedures discussed in chapters 4 and 5. It can be defined as the relation between a dependent variable, y, and a set of ... More


Recommendations for Better Regression

Rein Taagepera

in Making Social Sciences More Scientific: The Need for Predictive Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199534661
eISBN:
9780191715921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534661.003.0015
Subject:
Political Science, Comparative Politics, Political Economy

Take seriously the introductory advice by most introductory texts of statistics: graph the data and look at the graph so as to make sure linear regression makes sense from a statistical viewpoint. ... More


Identifying factors associated with the spatial distribution of disease

Dirk U. Pfeiffer, Timothy P. Robinson, Mark Stevenson, Kim B. Stevens, David J. Rogers, and Archie C. A. Clements

in Spatial Analysis in Epidemiology

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198509882
eISBN:
9780191709128
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509882.003.0007
Subject:
Biology, Disease Ecology / Epidemiology

This chapter presents analytical techniques of regression and discrimination as a means of quantifying the effect of a set of explanatory variables on the spatial distribution of a particular ... More


Forbidden Areas and Anchor Points

Rein Taagepera

in Making Social Sciences More Scientific: The Need for Predictive Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199534661
eISBN:
9780191715921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534661.003.0008
Subject:
Political Science, Comparative Politics, Political Economy

The outcomes of sociopolitical processes often depend on the factor in shortest supply; this makes multiplication of factors superior to their addition. Naïve linear regression may not detect all ... More


Linear Structural Equation Models

Steffen Kühnel

in Research Strategies in the Social Sciences: A Guide to New Approaches

Published in print:
1998
Published Online:
November 2003
ISBN:
9780198292371
eISBN:
9780191600159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198292376.003.0004
Subject:
Political Science, Reference

Extending the regression model to path analysis, in which all the variables are randomly distributed and treating the variances and co‐variances as exogenous variables. The worked example ... More


Regression and Least Squares

Gidon Eshel

in Spatiotemporal Data Analysis

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691128917
eISBN:
9781400840632
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691128917.003.0009
Subject:
Environmental Science, Environmental Studies

This chapter focuses on linear regression, the process of identifying the unique model that best explains a set of observed data among a specified class of general models. Regression thus occupies a ... More


The Use of Linear Regression in Labour Economics

Stephen Bazen

in Econometric Methods for Labour Economics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199576791
eISBN:
9780191731136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199576791.003.0002
Subject:
Economics and Finance, Econometrics

While econometric techniques have become increasingly sophisticated, regression analysis in one form or another continues to be a major tool in empirical studies. Linear regression is also important ... More


Bivariate and Multivariate Linear Regression Analysis

Karen A. Randolph and Laura L. Myers

in Basic Statistics in Multivariate Analysis

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199764044
eISBN:
9780199332533
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199764044.003.0005
Subject:
Social Work, Research and Evaluation

Chapter 5 provides a description of bivariate and multiple linear regression analysis. The chapter begins with a description of the basic statistics that are important in linear regression analysis ... More


Why Stevens' Law is a power law

Donald Laming

in The Measurement of Sensation

Published in print:
1997
Published Online:
January 2008
ISBN:
9780198523420
eISBN:
9780191712425
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198523420.003.0011
Subject:
Psychology, Cognitive Neuroscience

This chapter explains why Stevens' Power Law is a power law, rather than some other kind of relation. If the stimulus values are chosen in a geometric series and participants are induced to judge ... More


Models with Nonscalar Covariance Matrix of Errors

Aman Ullah

in Finite Sample Econometrics

Published in print:
2004
Published Online:
August 2004
ISBN:
9780198774471
eISBN:
9780191601347
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774478.003.0005
Subject:
Economics and Finance, Econometrics

This chapter examines regression models with nonscalar covariance matrix of errors. This includes the estimators and test statistics in the context of linear regression with heteroskedasticity and ... More


Bayesian Inference in Dynamic Econometric Models

Luc Bauwens, Michel Lubrano, and Jean-François Richard

Published in print:
2000
Published Online:
September 2011
ISBN:
9780198773122
eISBN:
9780191695315
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198773122.001.0001
Subject:
Economics and Finance, Econometrics

This book contains an up-to-date coverage of the last twenty years of advances in Bayesian inference in econometrics, with an emphasis on dynamic models. It shows how to treat Bayesian inference in ... More


Introduction

Stephen Bazen

in Econometric Methods for Labour Economics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199576791
eISBN:
9780191731136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199576791.003.0001
Subject:
Economics and Finance, Econometrics

This introductory chapter sets out the purpose of the book, which is to provide a practical guide to understanding and applying the standard econometric tools that are used in labour economics. ... More


A Local Linear Estimation Procedure for Functional Multilevel Modeling

Runze Li, Tammy L. Root, and Saul Shiffman

in Models for Intensive Longitudinal Data

Published in print:
2006
Published Online:
March 2012
ISBN:
9780195173444
eISBN:
9780199847051
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195173444.003.0003
Subject:
Psychology, Social Psychology

Linear mixed models, also termed hierarchical linear models (HLM), have been particularly useful for researchers analyzing longitudinal data, but they are not appropriate for all types of ... More


Regression

Peter Miksza and Kenneth Elpus

in Design and Analysis for Quantitative Research in Music Education

Published in print:
2018
Published Online:
March 2018
ISBN:
9780199391905
eISBN:
9780199391943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199391905.003.0010
Subject:
Music, Theory, Analysis, Composition, Performing Practice/Studies

This chapter presents the logic and technique of analyzing data using simple linear regression and multiple linear regression. Regression is a remarkably versatile statistical procedure that can be ... More


Extracting brain connectivity

Christian Büchel and Karl Friston

in Functional Magnetic Resonance Imaging: An Introduction to Methods

Published in print:
2001
Published Online:
March 2012
ISBN:
9780192630711
eISBN:
9780191724770
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780192630711.003.0016
Subject:
Neuroscience, Techniques

This chapter shows that new methods for measuring effective connectivity allow us to characterize the interactions between brain regions which underlie the complex interactions among different ... More


Basic Statistics in Multivariate Analysis

Karen A. Randolph and Laura L. Myers

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199764044
eISBN:
9780199332533
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199764044.001.0001
Subject:
Social Work, Research and Evaluation

The complexity of social problems necessitates that social work researchers utilize multivariate statistical methods in their investigations. Having a thorough understanding of basic statistics can ... More


Further Regression Issues in Labour Economics

Stephen Bazen

in Econometric Methods for Labour Economics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199576791
eISBN:
9780191731136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199576791.003.0003
Subject:
Economics and Finance, Econometrics

This chapter discusses the four aspects of regression analysis as used in labour economics. Decomposing differences between groups — males and females, for example — is one of the key uses of ... More


Multiple Regression

M. Hashem Pesaran

in Time Series and Panel Data Econometrics

Published in print:
2015
Published Online:
March 2016
ISBN:
9780198736912
eISBN:
9780191800504
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198736912.003.0002
Subject:
Economics and Finance, Econometrics

This chapter extends the bivariate regression model discussed in Chapter 1 to the case where more than one variable is available to explain/predict y, the dependent variable. The topic is known as ... More


Linear Regression

Andy Hector

in The New Statistics with R: An Introduction for Biologists

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198729051
eISBN:
9780191795855
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198729051.003.0004
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

This chapter extends the use of linear models to relationships with continuous explanatory variables, in other words, linear regression. The goal of the worked example (on wood hardness data) given ... More


Linear regression and correlation

Andrew Gelman and Deborah Nolan

in Teaching Statistics: A Bag of Tricks

Published in print:
2017
Published Online:
September 2017
ISBN:
9780198785699
eISBN:
9780191827518
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198785699.003.0005
Subject:
Mathematics, Educational Mathematics

This chapter addresses the descriptive treatment of linear regression with a single predictor: straight-line fitting, interpretation of the regression line and standard deviation, the confusing ... More


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