Series Editor's Introduction |
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xi | |
Preface |
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xiii | |
About the Author |
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xv | |
Acknowledgments |
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xvii | |
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1 The What, Why, and When of Power Analysis |
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1 | (9) |
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What is Statistical Power? |
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1 | (2) |
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Why Should Power Be a Consideration When Planning Studies? |
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3 | (3) |
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When Should You Perform a Power Analysis? |
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6 | (1) |
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7 | (1) |
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What Do You Need to Know to Perform a Power Analysis? |
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8 | (1) |
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The Structure of the Volume |
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9 | (1) |
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9 | (1) |
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2 Statistical Distributions |
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10 | (8) |
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Normally Distributed Random Variables |
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10 | (2) |
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12 | (3) |
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15 | (1) |
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15 | (1) |
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16 | (1) |
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17 | (1) |
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3 General Topics in Hypothesis Testing and Power Analysis When the Population Standard Deviation is Known: The Case of Two Group Means |
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18 | (18) |
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The Difference in Means as a Normally Distributed Random Variable When the Population Standard Deviation is Known |
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18 | (1) |
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Hypothesis Testing With the Difference Between Two Group Means When the Population Standard Deviation is Known |
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19 | (5) |
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Power Analysis for Testing the Difference Between Two Group Means When the Population Standard Deviation is Known |
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24 | (4) |
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28 | (1) |
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29 | (1) |
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30 | (4) |
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34 | (1) |
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35 | (1) |
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4 The Difference Between Two Groups in Simple Random Samples Where the Population Standard Deviation Must Be Estimated |
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36 | (18) |
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37 | (1) |
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Testing the Difference Between Group Means With Samples |
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38 | (8) |
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Power Analysis for Samples Without Covariates |
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46 | (6) |
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52 | (2) |
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5 Using Covariates When Testing the Difference in Sample Group Means for Balanced Designs |
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54 | (17) |
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55 | (1) |
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Tests Employing a Covariate (ANCOVA) With Balanced Samples |
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56 | (5) |
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Power Analysis With a Covariate Correlated With the Treatment Indicator |
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61 | (6) |
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Power Analysis With a Covariate Uncorrelated to the Treatment Indicator |
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67 | (3) |
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70 | (1) |
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6 Multilevel Models I: Testing the Difference in Group Means in Two-Level Cluster Randomized Trials |
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71 | (18) |
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71 | (1) |
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Understanding the Single Level Test as an ANOVA |
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72 | (4) |
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The Hierarchical Mixed Model for Cluster Randomized Trials |
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76 | (4) |
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Power Parameters for Cluster Randomized Trials |
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80 | (2) |
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Example Analysis of a Cluster Randomized Trial |
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82 | (3) |
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Power Analyses for Cluster Randomized Trials |
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85 | (3) |
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88 | (1) |
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7 Multilevel Models II: Testing the Difference in Group Means in Two-Level Multisite Randomized Trials |
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89 | (10) |
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Power Parameters for Multisite Randomized Trials |
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92 | (2) |
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Example Analysis of a Multisite Randomized Trial |
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94 | (1) |
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Power Analyses for Multisite Randomized Trails |
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95 | (3) |
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98 | (1) |
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99 | (10) |
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Power Analyses Are Arguments |
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99 | (3) |
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Strategies for Using the Literature to Make Reasonable Assumptions |
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102 | (6) |
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108 | (1) |
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109 | (6) |
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109 | (1) |
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110 | (4) |
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114 | (1) |
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10 Conclusions, Further Reading, and Regression |
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115 | (8) |
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The Case Study of Comparing Two Groups |
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115 | (1) |
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116 | (2) |
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118 | (4) |
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122 | (1) |
Appendix |
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123 | (4) |
References |
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127 | (4) |
Index |
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131 | |