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Confidence Intervals

Confidence Intervals

November 2002 | 104 pages | SAGE Publications, Inc
Using lots of easy to understand examples from different disciplines, the author introduces the basis of the confidence interval framework and provides the criteria for `best' confidence intervals, along with the trade-offs between confidence and precision.

The book covers such pertinent topics as: the transformation principle whereby a confidence interval for a parameter may be used to construct an interval for any monotonic transformation of that parameter; confidence intervals on distributions whose shape changes with the value of the parameter being estimated; and, the relationship between confidence interval and significance testing frameworks, particularly regarding power.

Ch 1 Introduction and Overview
Ch 2 Confidence Statements and Interval Estimates
Why Confidence Intervals?  
Ch 3 Central Confidence Intervals
Central and Standardizable versus Noncentral Distributions  
Confidence Intervals Using the Central t and Normal Distributions  
Confidence Intervals Using the Central Chi-Square and F Distributions  
Transformation Principle  
Ch 4 Noncentral Confidence Intervals for Standardized Effect Sizes
Noncentral Distributions  
Computing Noncentral Confidence Intervals  
Ch 5 Applications in Anova and Regression
Fixed-Effects ANOVA  
Random-Effects ANOVA  
A Priori and Post-Hoc Contrasts  
Regression: Multiple, Partial, and Semi-Partial Correlations  
Effect-Size Statistics for MANOVA and Setwise Regression  
Confidence Interval for a Regression Coefficient  
Goodness of Fit Indices in Structural Equations Models  
Ch 6 Applications in Categorical Data Analysis
Odds Ratio, Difference between Proportions and Relative Risk  
Chi-Square Confidence Intervals for One Variable  
Two-Way Contingency Tables  
Effects in Log-Linear and Logistic Regression Models  
Ch 7 Significance Tests and Power Analysis
Significance Tests and Model Comparison  
Power and Precision  
Designing Studies Using Power Analysis and Confidence Intervals  
Confidence Intervals for Power  
Concluding Remarks
About the Author

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Michael Smithson

Michael Smithson is a Professor in the Research School of Psychology at The Australian National University in Canberra, and received his PhD from the University of Oregon. He is the author of Confidence Intervals (2003), Statistics with Confidence (2000), Ignorance and Uncertainty (1989), and Fuzzy Set Analysis for the Behavioral and Social Sciences (1987), co-author of Fuzzy Set Theory: Applications in the Social Sciences (2006) and Generalized Linear Models for Categorical and Limited Dependent Variables (2014), and co-editor of Uncertainty and Risk: Multidisciplinary Perspectives (2008) and Resolving Social Dilemmas: Dynamic, Structural... More About Author

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ISBN: 9780761924999

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