Confidence intervals / Michael Smithson.

Format:

Book

Author/Creator:

Smithson, Michael.

Series:

Quantitative applications in the social sciences ; no. 07-140.

Sage university papers. Quantitative applications in the social sciences ; no. 07/140

Language:

English

Subjects (All):

Social sciences--Statistical methods.

Social sciences.

Confidence intervals.

Social sciences--Mathematics.

Intervalos de confianza.

Local Subjects:

Intervalos de confianza.

Physical Description:

vi, 93 pages : illustrations ; 22 cm.

Place of Publication:

Thousand Oaks, Calif. : Sage Publications, [2003]

Summary:

Smithson first introduces the basis of the confidence interval framework and then provides the criteria for "best" confidence intervals, along with the tradeoffs between confidence and precision. Next, using a reader-friendly style with lots of worked out examples from various disciplines, he 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.

Contents:

2. Confidence Statements and Interval Estimates 3

Decisions and Criteria for Confidence Intervals 9

Why Confidence Intervals? 12

3. Central Confidence Intervals 18

Central and Standardizable Versus Noncentral Distributions 18

Confidence Intervals Using the Central t and Normal Distributions 19

Confidence Intervals Using the Central Chi-Square and F Distributions 24

The Transformation Principle 27

4. Noncentral Confidence Intervals for Standardized Effect Sizes 32

Noncentral Distributions 32

Computing Noncentral Confidence Intervals 34

5. Applications in ANOVA and Regression 41

Fixed-Effects Versus Random-Effects Models 42

Fixed-Effects ANOVA 43

Random-Effects ANOVA 46

A Priori and Post Hoc Contrasts 48

Regression: Multiple, Partial, and Semi-Partial Correlations 52

Effect-Size Statistics for MANOVA and Setwise Regression 59

Confidence Interval for a Regression Coefficient 61

Goodness-of-Fit Indices in Structural Equations Model 64

6. Applications in Categorical Data Analysis 66

Odds Ratio, Difference Between Proportions, and Relative Risk 66

Chi-Square Confidence Intervals for One Variable 69

Two-Way Contingency Tables 72

Effects in Log-Linear and Logistic Regression Models 73

7. Significance Tests and Power Analysis 77

Significance Tests and Model Comparison 77

Power and Precision 79

Designing Studies Using Power Analysis and Confidence Intervals 81

Confidence Intervals for Power 86.

Notes:

Includes bibliographical references (90-92).

ISBN:

076192499X

9780761924999

OCLC:

50042712

Online:

Publisher description