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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


Determining Sample Size: Balancing Power, Precision, and Practicality

Patrick Dattalo

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195315493
eISBN:
9780199865475
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195315493.001.0001
Subject:
Social Work, Research and Evaluation

Sample size determination is an important and often difficult step in planning an empirical study. From a statistical perspective, sample size depends on the following factors: type of analysis to be ... More


Random Error

David A. Savitz

in Interpreting Epidemiologic Evidence: Strategies for Study Design & Analysis

Published in print:
2003
Published Online:
September 2009
ISBN:
9780195108408
eISBN:
9780199865765
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195108408.003.0010
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter discusses random error. Topics covered include taking a sequential approach to considering random and systematic error, special considerations in evaluating random error in observational ... More


Statistics used in observational studies

Will G. Hopkins

in Sports Injury Research

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199561629
eISBN:
9780191722479
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199561629.003.06
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

A variety of ways to express the incidence and prevalence of sports injury exists, of which the number of injuries per 1,000 hours of play is the most commonly used. There is no clear answer as to ... More


Sampling and Measurement

Peter Lyons and Howard J. Doueck

in The Dissertation: From Beginning to End

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195373912
eISBN:
9780199865604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195373912.003.0005
Subject:
Social Work, Research and Evaluation

This chapter examines participant selection, sampling design, sample size and sampling error; as well as the importance of statistical power, effect size, confidence levels, and confidence intervals. ... More


Basic statistical methods

Jos Twisk

in Sports Injury Research

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199561629
eISBN:
9780191722479
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199561629.003.03
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

Before one can understand and apply the statistical methods that are being used most commonly in sports injury research, an introduction on general statistical principles is needed. This chapter ... More


Confidence Intervals: Measures of Precision

Patrick Dattalo

in Determining Sample Size: Balancing Power, Precision, and Practicality

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195315493
eISBN:
9780199865475
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195315493.003.0003
Subject:
Social Work, Research and Evaluation

This chapter provides a brief description of the rationale and limitations of CIs; presents important issues related to calculating CIs for both commonly used and emerging statistical procedures in ... More


Confidence Intervals and Hypothesis Tests

in Introductory Econometrics: Intuition, Proof, and Practice

Published in print:
2011
Published Online:
June 2013
ISBN:
9780804772624
eISBN:
9780804777209
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804772624.003.0006
Subject:
Economics and Finance, Econometrics

This chapter discusses confidence intervals and hypothesis tests. Confidence intervals provide ranges that contain the parameters with prespecified degrees of certainty. Hypothesis tests evaluate ... More


Inference in Ordinary Least Squares

in Introductory Econometrics: Intuition, Proof, and Practice

Published in print:
2011
Published Online:
June 2013
ISBN:
9780804772624
eISBN:
9780804777209
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804772624.003.0007
Subject:
Economics and Finance, Econometrics

This chapter discusses how to accurately estimate the values of β and α from b and a. Regression produces an estimate of the standard deviation of εi. This, in turn, serves as the basis for estimates ... More


Statistical treatment

Thomas D. Wickens

in Elementary Signal Detection Theory

Published in print:
2001
Published Online:
April 2010
ISBN:
9780195092509
eISBN:
9780199893812
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195092509.003.0011
Subject:
Psychology, Cognitive Psychology

This chapter collects several issues concerned with the statistical treatment of signal-detection data: variability of the parameter estimates (confidence intervals and hypothesis tests), measuring ... More


Rates and Other Measures

J. H. Abramson and Z. H. Abramson

in Making Sense of Data: A Self-Instruction Manual on the Interpretation of Epidemiological Data

Published in print:
2001
Published Online:
September 2009
ISBN:
9780195145250
eISBN:
9780199864775
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195145250.003.0002
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

The exercises in this section deal with various kinds of rates, and other simple summary measures used in epidemiological studies. The main topics include how the measures are calculated, the ... More


Confidence Intervals

Dale W. Jorgenson, Richard J. Goettle, Mun S. Ho, and Peter J. Wilcoxen

in Double Dividend: Environmental Taxes and Fiscal Reform in the United States

Published in print:
2014
Published Online:
September 2014
ISBN:
9780262027090
eISBN:
9780262318563
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262027090.003.0009
Subject:
Economics and Finance, Development, Growth, and Environmental

This chapter describes a method for constructing confidence intervals for general equilibrium model results using the covariance matrices routinely computed in the course of estimating the model's ... More


Summary and Conclusions

Patrick Dattalo

in Strategies to Approximate Random Sampling and Assignment

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195378351
eISBN:
9780199864645
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195378351.003.0006
Subject:
Social Work, Research and Evaluation

In this chapter, specific recommendations made in chapters one through five are summarized. In conclusion, it is argued that, more generally, and in the longer term, alternatives and supplements to ... More


Effect Size Metrics and Pooling Methods

Julia H. Littell, Jacqueline Corcoran, and Vijayan Pillai

in Systematic Reviews and Meta-Analysis

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195326543
eISBN:
9780199864959
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195326543.003.0005
Subject:
Social Work, Research and Evaluation

This chapter covers the meanings and measures of effect size (ES), focusing on common effect size measures. Confidence intervals are used to capture the precision of ES estimates. Corrections for ... More


Regression with a Dichotomous Dependent Variable Regression with a Dichotomous Dependent Variable

John G. Orme and Terri Combs-Orme

in Multiple Regression with Discrete Dependent Variables

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195329452
eISBN:
9780199864812
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195329452.003.0002
Subject:
Social Work, Research and Evaluation

This chapter describes the use of binary logistic regression (also known simply as logistic or logit regression), a versatile and popular method for modeling relationships between a dichotomous ... More


General Requirements for Casimir Force Measurements

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0018
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Given that the Casimir force is very small and has a strong dependence on the separation distance and on the geometrical and material properties of the boundary surfaces, the measurement of this ... More


Local Regression and Likelihood

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/9780195178081.003.0013
Subject:
Neuroscience, Techniques, Molecular and Cellular Systems

Local regression and likelihood methods are nonparametric approaches for fitting regression functions and probability distributions to data. This chapter discusses the basic ideas behind these ... More


One-Sample and Difference-of-Means Tests

Quan Li

in Using R for Data Analysis in Social Sciences: A Research Project-Oriented Approach

Published in print:
2018
Published Online:
March 2019
ISBN:
9780190656218
eISBN:
9780190656256
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190656218.003.0003
Subject:
Political Science, Political Theory

This chapter demonstrates the types of questions one could ask about a continuous random variable of interest and answer using statistical inference. It provides conceptual preparation for ... More


Basic Terms and Concepts

Patrick Dattalo

in Determining Sample Size: Balancing Power, Precision, and Practicality

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195315493
eISBN:
9780199865475
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195315493.003.0001
Subject:
Social Work, Research and Evaluation

This chapter defines important terms and concepts. It a familiarity with issues related to the appropriate application of each statistical procedure in terms of assumptions and purpose. The chapter ... More


Inductive Entailment

Jon Williamson

in Lectures on Inductive Logic

Published in print:
2017
Published Online:
March 2017
ISBN:
9780199666478
eISBN:
9780191749292
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666478.003.0007
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

Chapter 7 explains how objective Bayesian inductive logic captures inductive entailment. This is done by means of an extended example. The ability of the logic to capture inductive entailment is ... More


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