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Beyond Regression: The Need for Predictive Models

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/9780199534661.003.0018
Subject:
Political Science, Comparative Politics, Political Economy

Society needs more from social sciences than they have delivered, and this book offers openings. To the society at large, quantitative social scientists presently seem no better at prediction than ... More


Simulation-based Econometric Methods

Christian Gouriéroux and Alain Monfort

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198774754
eISBN:
9780191596339
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198774753.001.0001
Subject:
Economics and Finance, Econometrics

This book deals with a new generation of econometric methods leading to criterion functions without simple analytical expression. The difficulty often comes from the presence of integrals of large ... More


LEAST SQUARES INVERSE EIGENVALUE PROBLEMS

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0006
Subject:
Mathematics, Applied Mathematics

Every inverse eigenvalue problem has a natural generalization to a least squares formulation, which sometimes does carry significant purposes in applications. The least squares approximation can be ... More


On the application of the method of least squares to some cases, in which a combination of certain types of inhomogeneous random sources of errors gives these a ‘systematic’ character

T. N. Thiele

in Thiele: Pioneer in Statistics

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509721
eISBN:
9780191709197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509721.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter presents Thiele's first paper on the method of least squares. This paper was so far ahead of its time that only a few appreciated the results. Thiele's recursive algorithm developed in ... More


Why We Should Shift to Symmetric 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/9780199534661.003.0012
Subject:
Political Science, Comparative Politics, Political Economy

When data are scattered, Ordinary Least-Squares (OLS) regression produces two quite distinct regression lines – one for y versus x and another for x versus y – and both may differ appreciably from ... More


Projection Procrustes problems

J. C. Gower and G. B. Dijksterhuis

in Procrustes Problems

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198510581
eISBN:
9780191708961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198510581.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter considers projection Procrustes where T is an orthonormal matrix P, which has an interpretation of rotating an orthogonal projection of the P 1-dimensional ... More


Unification and the Moon‐Test: Critical Assessment

William L. Harper

in Isaac Newton's Scientific Method: Turning Data into Evidence about Gravity and Cosmology

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199570409
eISBN:
9780191728679
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570409.003.0006
Subject:
Philosophy, History of Philosophy, Philosophy of Science

Part I argues that the precision of Newton’s moon-test calculation goes beyond what modern least squares assessment can support from his cited data and that his data afford no support for his ... More


Methodologies for root selection

Christopher G. Small and Jinfang Wang

in Numerical Methods for Nonlinear Estimating Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506881
eISBN:
9780191709258
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506881.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter studies the specific problem of selecting a root of an estimating equation with more than one root, for instance, using methods by removing the irregularity of the estimating function or ... More


Statistical Protocols

Partha P. Mitra and Hemant Bokil

in Observed Brain Dynamics

Published in print:
2007
Published Online:
May 2009
ISBN:
9780195178081
eISBN:
9780199864829
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178081.003.0006
Subject:
Neuroscience, Techniques, Molecular and Cellular Systems

This chapter provides a mini-review of classical and modern statistical methods for data analysis. Topics covered include method of least squares, data visualization, point estimation, interval ... More


Links with other methods

J. C. Gower and G. B. Dijksterhuis

in Procrustes Problems

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198510581
eISBN:
9780191708961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198510581.003.0013
Subject:
Mathematics, Probability / Statistics

The multi-set Procrustes problem may be viewed as a part of the family of three-mode multidimensional scaling methods. This chapter discusses links with other three-mode methods, especially PINDIS, ... More


Analysis of variance framework

J. C. Gower and G. B. Dijksterhuis

in Procrustes Problems

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198510581
eISBN:
9780191708961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198510581.003.0010
Subject:
Mathematics, Probability / Statistics

This chapter continues the discussion of the multi-set problem, presenting several forms of analysis of variance which have only a rudimentary form for the two sets Procrustes problem but which give ... More


Estimation

Qin Duo

in The Formation of Econometrics: A Historical Perspective

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198292876
eISBN:
9780191596803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198292872.003.0004
Subject:
Economics and Finance, History of Economic Thought, Econometrics

Narrates the process of how estimation was formalized. Estimation can be seen as the genesis of econometrics, since finding estimates for coefficients of economically meaningful relationships has ... More


PRO-SUBJECTIVE APPROACH LOSES AS SAMPLING THEORY GAINS GROUND

Shoutir Kishore Chatterjee

in Statistical Thought: A Perspective and History

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525318
eISBN:
9780191711657
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525318.003.0008
Subject:
Mathematics, Probability / Statistics

In the first half of the 19th century, Laplace, Gauss, and a number of other contributors enriched statistical thought. The quest for a suitable model for the distribution of observational errors led ... More


The early history of cumulants and the Gram–Charlier series 79

A. Hald

in Thiele: Pioneer in Statistics

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509721
eISBN:
9780191709197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509721.003.0007
Subject:
Mathematics, Probability / Statistics

This chapter presents a reprint of part of Hald (2000a), containing a detailed discussion of Thiele's halfinvariants and their use in series expansions. Section 2 describes how Poisson, Bessel, and ... More


Least-squares fitting of parameters

Peter Main

in Crystal Structure Analysis: Principles and Practice

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199219469
eISBN:
9780191722516
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219469.003.0012
Subject:
Physics, Crystallography: Physics

In crystallography, numerical parameters for the structure are derived from experimental data. This chapter discusses how the data and parameters are related, and introduces data fitting procedures ... More


Refinement

Dennis Sherwood and Jon Cooper

in Crystals, X-rays and Proteins: Comprehensive Protein Crystallography

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199559046
eISBN:
9780191595028
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199559046.003.0015
Subject:
Physics, Crystallography: Physics

This chapter begins by emphasizing that the initial electron density for a protein will be significantly affected by errors in the experimental phases and, subsequently, additional errors of ... More


Simulated Maximum Likelihood, Pseudo‐Maximum Likelihood, and Nonlinear Least Squares Methods

Christian Gouriéroux and Alain Monfort

in Simulation-based Econometric Methods

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198774754
eISBN:
9780191596339
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774753.003.0003
Subject:
Economics and Finance, Econometrics

The simulated analogues to Maximum Likelihood, Pseudo‐Maximum Likelihood, and Non‐Linear Least Squares Methods are presented. Their asymptotic properties and bias corrections are given under various ... More


Interpreting Linear Models

David F. Hendry

in Dynamic Econometrics

Published in print:
1995
Published Online:
November 2003
ISBN:
9780198283164
eISBN:
9780191596384
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198283164.003.0006
Subject:
Economics and Finance, Econometrics

Regression, linear least‐squares approximation, contingent plan, and behavioural model are distinguished as four interpretations that ‘look alike’ yet have different properties. Models of ... More


Econometric Tools and Techniques

David F. Hendry

in Dynamic Econometrics

Published in print:
1995
Published Online:
November 2003
ISBN:
9780198283164
eISBN:
9780191596384
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198283164.003.0003
Subject:
Economics and Finance, Econometrics

Least squares and recursive methods for estimating the values of unknown parameters and the logic of testing in empirical modelling, are discussed. The tools needed for investigating the properties ... More


Doing Data Analysis with the Multilevel Model for Change

Judith D. Singer and John B. Willett

in Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence

Published in print:
2003
Published Online:
September 2009
ISBN:
9780195152968
eISBN:
9780199864980
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195152968.003.0004
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter delves deeper into the specification, estimation, and interpretation of the multilevel model for change. Following introduction of a new data set, it presents a composite formulation of ... More


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