Preface |
|
ix | |
1 The Power of Statistical Tests |
|
1 | |
|
The Structure of Statistical Tests |
|
|
2 | |
|
The Mechanics of Power Analysis |
|
|
9 | |
|
Statistical Power of Research in the Social and Behavioral Sciences |
|
|
17 | |
|
|
19 | |
|
Hypothesis Tests Versus Confidence Intervals |
|
|
23 | |
|
|
24 | |
2 A Simple and General Model for Power Analysis |
|
25 | |
|
The General Linear Model, the F Statistic, and Effect Size |
|
|
27 | |
|
The F Distribution and Power |
|
|
29 | |
|
Using the Noncentral F Distribution to Assess Power |
|
|
32 | |
|
Translating Common Statistics and ES Measures Into F |
|
|
33 | |
|
Defining Large, Medium, and Small Effects |
|
|
38 | |
|
Nonparametric and Robust Statistics |
|
|
39 | |
|
|
40 | |
|
Analytic and Tabular Methods of Power Analysis |
|
|
41 | |
|
Using the One-Stop F Table |
|
|
42 | |
|
The One-Stop F Calculator |
|
|
45 | |
|
|
47 | |
3 Power Analyses for Minimum-Effect Tests |
|
49 | |
|
Implications of Believing That the Null Hypothesis Is Almost Always Wrong |
|
|
53 | |
|
Minimum-Effect Tests as Alternatives to Traditional Null Hypothesis Tests |
|
|
56 | |
|
Testing the Hypothesis That Treatment Effects Are Negligible |
|
|
59 | |
|
Using the One-Stop Tables to Assess Power to Test Minimum-Effect Hypotheses |
|
|
64 | |
|
Using the One-Stop F Calculator for Minimum-Effect Tests |
|
|
67 | |
|
|
68 | |
4 Using Power Analyses |
|
71 | |
|
Estimating the Effect Size |
|
|
72 | |
|
Four Applications of Statistical Power Analysis |
|
|
77 | |
|
|
78 | |
|
|
79 | |
|
Determining the Sensitivity of Studies |
|
|
81 | |
|
Determining Appropriate Decision Criteria |
|
|
82 | |
|
|
87 | |
5 Correlation and Regression |
|
89 | |
|
The Perils of Working With Large Samples |
|
|
90 | |
|
|
92 | |
|
Power in Testing for Moderators |
|
|
96 | |
|
Why Are Most Moderator Effects Small? |
|
|
97 | |
|
Implications of Low Power in Tests for Moderators |
|
|
99 | |
|
|
100 | |
6 t-Tests and the Analysis of Variance |
|
101 | |
|
|
101 | |
|
Independent Groups t-Test |
|
|
103 | |
|
Traditional Versus Minimum-Effect Tests |
|
|
105 | |
|
One-Tailed Versus Two-Tailed Tests |
|
|
107 | |
|
Repeated Measures or Dependent t-Test |
|
|
108 | |
|
|
110 | |
|
|
113 | |
|
|
116 | |
7 Multifactor ANOVA Designs |
|
117 | |
|
The Factorial Analysis of Variance |
|
|
118 | |
|
|
124 | |
|
Fixed, Mixed, and Random Models |
|
|
126 | |
|
Randomized Block ANOVA: An Introduction to Repeated-Measures Designs |
|
|
128 | |
|
Independent Groups Versus Repeated Measures |
|
|
129 | |
|
Complexities in Estimating Power in Repeated-Measures Designs |
|
|
134 | |
|
|
135 | |
8 Split-Plot Factorial and Multivariate Analyses |
|
137 | |
|
Split-Plot Factorial ANOVA |
|
|
137 | |
|
Power for Within-Subject Versus Between-Subject Factors |
|
|
140 | |
|
Split-Plot Designs With Multiple Repeated-Measures Factors |
|
|
141 | |
|
The Multivariate Analysis of Variance |
|
|
141 | |
|
|
144 | |
9 The Implications of Power Analyses |
|
145 | |
|
Tests of the Traditional Null Hypothesis |
|
|
146 | |
|
Tests of Minimum-Effect Hypotheses |
|
|
147 | |
|
Power Analysis: Benefits, Costs, and Implications for Hypothesis Testing |
|
|
151 | |
|
Direct Benefits of Power Analysis |
|
|
151 | |
|
Indirect Benefits of Power Analysis |
|
|
153 | |
|
Costs Associated With Power Analysis |
|
|
154 | |
|
Implications of Power Analysis: Can Power Be Too High? |
|
|
155 | |
|
|
157 | |
References |
|
159 | |
Appendices |
|
163 | |
Author Index |
|
209 | |
Subject Index |
|
211 | |