## 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

## 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

## 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

## 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

## Regression and optimization

*Thomas P. Trappenberg*

### in Fundamentals of Machine Learning

- Published in print:
- 2019
- Published Online:
- January 2020
- ISBN:
- 9780198828044
- eISBN:
- 9780191883873
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198828044.003.0005
- Subject:
- Neuroscience, Behavioral Neuroscience

This chapter returns to the more theoretical embedding of machine learning in regression. Prior chapters have shown that writing machine learning programs is easy using high-level computer languages ... 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