## 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