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xv | |
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xix | |
Preface to Second Edition |
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xxiii | |
Preface to First Edition |
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xxvii | |
Acknowledgments |
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xxxiii | |
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Part I: Introduction to Meta-Analysis |
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1 | (72) |
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Integrating Research Findings Across Studies |
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3 | (30) |
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General Problem and an Example |
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3 | (5) |
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A Typical Interpretation of the Example Data |
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4 | (3) |
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Conclusions of the Review |
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7 | (1) |
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Critique of the Sample Review |
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7 | (1) |
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Problems With Statistical Significance Tests |
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8 | (3) |
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Is Statistical Power the Solution? |
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11 | (2) |
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13 | (2) |
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15 | (2) |
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Role of Meta-Analysis in the Behavioral and Social Sciences |
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17 | (5) |
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The Myth of the Perfect Study |
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17 | (1) |
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18 | (4) |
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Role of Meta-Analysis in Theory Development |
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22 | (2) |
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Increasing Use of Meta-Analysis |
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24 | (1) |
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Meta-Analysis in Industrial-Organizational Psychology |
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24 | (2) |
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Wider Impact of Meta-Analysis on Psychology |
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26 | (2) |
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Impact of Meta-Analysis Outside Psychology |
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28 | (1) |
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28 | (1) |
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Impact in Other Disciplines |
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29 | (1) |
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Meta-Analysis and Social Policy |
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29 | (1) |
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Meta-Analysis and Theories of Data |
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30 | (2) |
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32 | (1) |
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Study Artifacts and Their Impact on Study Outcomes |
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33 | (40) |
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34 | (23) |
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34 | (1) |
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34 | (2) |
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36 | (1) |
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Range Variation in the Independent Variable |
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37 | (2) |
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Attrition Artifacts: Range Variation on the Dependent Variable |
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39 | (2) |
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Imperfect Construct Validity in the Independent Variable |
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41 | (10) |
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Imperfect Construct Validity in the Dependent Variable |
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51 | (2) |
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Computational and Other Errors in the Data |
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53 | (1) |
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Extraneous Factors Introduced by Study Procedure |
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54 | (1) |
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Bias in the Sample Correlation |
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55 | (2) |
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Sampling Error, Statistical Power, and the Interpretation of Research Findings |
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57 | (8) |
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An Illustration of Statistical Power |
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57 | (2) |
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A More Detailed Examination of Statistical Power |
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59 | (6) |
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65 | (1) |
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Undercorrection for Artifacts in the Corrected Standard Deviation |
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66 | (2) |
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Coding Study Characteristics and Capitalization on Sampling Error in Moderator Analysis |
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68 | (3) |
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71 | (2) |
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Part II: Meta-Analysis of Correlations |
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73 | (168) |
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Meta-Analysis of Correlations Corrected Individually for Artifacts |
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75 | (62) |
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Introduction and Overview |
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75 | (6) |
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Bare-Bones Meta-Analysis: Correcting for Sampling Error Only |
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81 | (14) |
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Estimation of Sampling Error |
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81 | (2) |
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Correcting the Variance for Sampling Error and a Worked Example |
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83 | (7) |
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Moderator Variables Analyzed by Grouping the Data and a Worked Example |
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90 | (2) |
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Correcting Feature Correlations for Sampling Error and a Worked Example |
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92 | (3) |
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Artifacts Other Than Sampling Error |
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95 | (23) |
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Error of Measurement and Correction for Attenuation |
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95 | (8) |
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Restriction or Enhancement of Range |
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103 | (9) |
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Dichotomization of Independent and Dependent Variables |
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112 | (3) |
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Imperfect Construct Validity in Independent and Dependent Variables |
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115 | (2) |
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117 | (1) |
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117 | (1) |
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118 | (1) |
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Multiple Simultaneous Artifacts |
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118 | (2) |
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Meta-Analysis of Individually Corrected Correlations |
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120 | (7) |
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Individual Study Computations |
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121 | (1) |
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122 | (3) |
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Final Meta-Analysis Estimation |
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125 | (2) |
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A Worked Example: Indirect Range Restriction |
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127 | (5) |
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Summary of Meta-Analysis Correcting Each Correlation Individually |
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132 | (2) |
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Exercise 1: Bare-Bones Meta-Analysis: Correcting for Sampling Error Only |
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134 | (1) |
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Exercise 2: Meta-Analysis Correcting Each Correlation Individually |
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135 | (2) |
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Meta-Analysis of Correlations Using Artifact Distributions |
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137 | (52) |
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Full Artifact Distribution Meta-Analysis |
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138 | (31) |
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140 | (2) |
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The Standard Deviation of Correlations |
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142 | (8) |
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A Worked Example: Error of Measurement |
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150 | (3) |
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A Worked Example: Unreliability and Direct Range Restriction |
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153 | (1) |
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A Worked Example: Personnel Selection With Fixed Test (Direct Range Restriction) |
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154 | (4) |
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Personnel Selection With Varying Tests |
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158 | (1) |
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Personnel Selection: Findings and Formulas in the Literature |
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159 | (7) |
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A Worked Example: Indirect Range Restriction (Interactive Method) |
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166 | (2) |
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Refinements to Increase Accuracy of the SDp Estimate |
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168 | (1) |
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Accuracy of Corrections for Artifacts |
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169 | (4) |
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Mixed Meta-Analysis: Partial Artifact Information in Individual Studies |
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173 | (7) |
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An Example: Dichotomization of Both Variables |
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175 | (5) |
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Summary of Artifact Distribution Meta-Analysis of Correlations |
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180 | (3) |
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Phase 1: Cumulating Artifact Information |
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181 | (1) |
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Phase 2a: Correcting the Mean Correlation |
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181 | (1) |
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Phase 2b: Correcting the Standard Deviation of Correlations |
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181 | (2) |
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Exercise: Artifact Distribution Meta-Analysis |
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183 | (6) |
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Technical Questions in Meta-Analysis of Correlations |
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189 | (52) |
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r Versus r2: Which Should Be Used? |
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189 | (3) |
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r Versus Regression Slopes and Intercepts in Meta-Analysis |
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192 | (3) |
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192 | (1) |
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192 | (1) |
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Comparability of Units Across Studies |
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193 | (1) |
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Comparability of Findings Across Meta-Analyses |
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194 | (1) |
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Intrinsic Interpretability |
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194 | (1) |
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Technical Factors That Cause Overestimation of SDp |
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195 | (6) |
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Presence of Non-Pearson rs |
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195 | (1) |
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Presence of Outliers and Other Data Errors |
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196 | (1) |
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Use of r Instead of r in the Sampling Error Formula |
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197 | (1) |
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Undercorrection for Sampling Error Variance in the Presence of Range Restriction |
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198 | (1) |
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Nonlinearity in the Range Correction |
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198 | (2) |
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Other Factors Causing Overestimation of SDp |
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200 | (1) |
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Fixed- and Random-Effects Models in Meta-Analysis |
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201 | (4) |
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Accuracy of Different Random-Effects Models |
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203 | (2) |
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Credibility Versus Confidence Intervals in Meta-Analysis |
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205 | (1) |
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Computing Confidence Intervals in Meta-Analysis |
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206 | (1) |
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Range Restriction in Meta-Analysis: New Technical Analysis |
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207 | (1) |
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Domains With No Range Restriction |
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208 | (5) |
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209 | (1) |
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Systematic Error of Measurement |
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210 | (1) |
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Artificial Dichotomization |
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210 | (1) |
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211 | (1) |
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Meta-Analysis for Simple Artifacts |
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211 | (2) |
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213 | (11) |
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Range Restriction as a Single Artifact |
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213 | (2) |
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Correction for Direct Range Restriction |
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215 | (1) |
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Meta-Analysis for Range Restriction as a Single Artifact |
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215 | (1) |
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Two Populations in Direct Range Restriction |
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216 | (1) |
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Error of Measurement in the Independent Variable in Direct Range Restriction |
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216 | (3) |
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Error of Measurement in the Dependent Variable in Direct Range Restriction |
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219 | (2) |
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Error of Measurement in Both Variables: Direct Range Restriction |
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221 | (1) |
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Meta-Analysis in Direct Range Restriction: Previous Work |
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221 | (1) |
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Educational and Employment Selection |
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222 | (1) |
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Meta-Analysis Correcting Correlations Individually: Direct Range Restriction |
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223 | (1) |
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Artifact Distribution Meta-Analysis: Direct Range Restriction |
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224 | (1) |
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Indirect Range Restriction |
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224 | (16) |
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A Causal Model for Indirect Range Restriction |
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226 | (2) |
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228 | (1) |
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Range Restriction on Other Variables in Indirect Range Restriction |
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228 | (1) |
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Estimation in Indirect Range Restriction |
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229 | (1) |
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The Correlation Between S and T in Indirect Range Restriction |
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230 | (1) |
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The Attenuation Model in Indirect Range Restriction |
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231 | (1) |
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Predictor Measurement Error in Indirect Range Restriction |
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232 | (1) |
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Meta-Analysis Correcting Each Correlation Individually: Indirect Range Restriction |
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233 | (1) |
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Artifact Distribution Meta-Analysis for Indirect Range Restriction |
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233 | (7) |
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Criticisms of Meta-Analysis Procedures for Correlations |
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240 | (1) |
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Part III: Meta-Analysis of Experimental Effects and Other Dichotomous Comparisons |
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241 | (150) |
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Treatment Effects: Experimental Artifacts and Their Impact |
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243 | (30) |
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Quantification of the Treatment Effect: The d Statistic and the Point Biserial Correlation |
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244 | (3) |
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Sampling Error in d Values: Illustrations |
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247 | (5) |
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248 | (2) |
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250 | (1) |
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251 | (1) |
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Error of Measurement in the Dependent Variable |
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252 | (4) |
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Error of Measurement in the Treatment Variable |
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256 | (4) |
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Variation Across Studies in Treatment Strength |
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260 | (1) |
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Range Variation on the Dependent Variable |
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261 | (1) |
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Dichotomization of the Dependent Variable |
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262 | (2) |
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Imperfect Construct Validity in the Dependent Variable |
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264 | (2) |
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Imperfect Construct Validity in the Treatment Variable |
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266 | (1) |
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Bias in the Effect Size (d Statistic) |
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266 | (2) |
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Recording, Computational, and Transcriptional Errors |
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268 | (1) |
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Multiple Artifacts and Corrections |
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269 | (4) |
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Meta-Analysis Methods for d Values |
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273 | (62) |
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Effect Size Indexes: d and r |
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275 | (7) |
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Maximum Value of Point Biserial r |
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276 | (1) |
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The Effect Size (d Statistic) |
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277 | (2) |
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Correction of the Point Biserial r for Unequal Sample Sizes |
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279 | (1) |
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Examples of the Convertibility of r and d |
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280 | (2) |
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Problems of Artificial Dichotomization |
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282 | (1) |
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An Alternative to d: Glass's d |
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282 | (1) |
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Sampling Error in the d Statistic |
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283 | (3) |
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283 | (3) |
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The Confidence Interval for δ |
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286 | (1) |
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Cumulation and Correction of the Variance for Sampling Error |
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286 | (6) |
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287 | (2) |
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A Worked Numerical Example |
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289 | (2) |
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Another Example: Leadership Training by Experts |
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291 | (1) |
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Analysis of Moderator Variables |
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292 | (9) |
|
Using Study Domain Subsets |
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293 | (1) |
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Using Study Characteristic Correlations |
|
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294 | (1) |
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A Worked Example: Training by Experts Versus Training by Managers |
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295 | (3) |
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Another Worked Example: Amount of Training |
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298 | (3) |
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The Correlational Moderator Analysis |
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301 | (1) |
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Correcting d-Value Statistics for Measurement Error in the Dependent Variable |
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301 | (12) |
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Meta-Analysis of d Values Corrected Individually and a Worked Example |
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305 | (3) |
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Artifact Distribution Meta-Analysis and a Worked Example |
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308 | (5) |
|
Measurement Error in the Independent Variable in Experiments |
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313 | (2) |
|
Other Artifacts and Their Effects |
|
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315 | (1) |
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Correcting for Multiple Artifacts |
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316 | (12) |
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Attenuation Effect of Multiple Artifacts and Correction for the Same |
|
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317 | (2) |
|
Disattenuation and Sampling Error: The Confidence Interval |
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319 | (1) |
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A Formula for Meta-Analysis With Multiple Artifacts |
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320 | (8) |
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Summary of Meta-Analysis of d Values |
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328 | (3) |
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Exercise: Meta-Analysis of d Values |
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331 | (4) |
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Technical Questions in Meta-Analysis of d Values |
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335 | (56) |
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Alternative Experimental Designs |
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335 | (2) |
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Within-Subjects Experimental Designs |
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337 | (33) |
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The Potentially Perfect Power of the Pre-Post Design |
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338 | (1) |
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Deficiencies of the Between-Subjects Design |
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339 | (5) |
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Error of Measurement and the Within-Subjects Design |
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344 | (5) |
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The Treatment by Subjects Interaction |
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349 | (7) |
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356 | (14) |
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Meta-Analysis and the Within-Subjects Design |
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370 | (4) |
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370 | (1) |
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The Treatment by Subjects Interaction |
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371 | (3) |
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Statistical Power in the Two Designs |
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374 | (8) |
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Designs Matched for Number of Subjects |
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375 | (3) |
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Designs Matched for Number of Measurements or Scores |
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378 | (4) |
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Threats to Internal and External Validity |
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382 | (5) |
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383 | (1) |
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384 | (1) |
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384 | (1) |
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384 | (1) |
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385 | (1) |
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386 | (1) |
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Interaction Between Testing and Treatment |
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387 | (1) |
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Interaction Between Selection and Treatment |
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387 | (1) |
|
Bias in Observed d Values |
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387 | (1) |
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Use of Multiple Regression in Moderator Analysis of d Values |
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388 | (3) |
|
Part IV: General Issues in Meta-Analysis |
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|
391 | (126) |
|
General Technical Issues in Meta-Analysis |
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393 | (36) |
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Fixed-Effects Versus Random-Effects Models in Meta-Analysis |
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393 | (6) |
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Second-Order Sampling Error: General Principles |
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399 | (2) |
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Detecting Moderators Not Hypothesized a Priori |
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401 | (5) |
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Second-Order Meta-Analyses |
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406 | (2) |
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Large-N Studies and Meta-Analysis |
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408 | (3) |
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Second-Order Sampling Error: Technical Treatment |
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411 | (12) |
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415 | (2) |
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417 | (1) |
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418 | (2) |
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The Leadership Training by Experts Example |
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420 | (1) |
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The Skills Training Moderator Example |
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|
421 | (2) |
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The Detection of Moderator Variables: Summary |
|
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423 | (1) |
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Hierarchical Analysis of Moderator Variables |
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|
424 | (3) |
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Exercise: Second-Order Meta-Analysis |
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427 | (2) |
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Cumulation of Findings Within Studies |
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429 | (16) |
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429 | (1) |
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430 | (2) |
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Conceptual Replication and Confirmatory Factor Analysis |
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432 | (3) |
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Conceptual Replication: An Alternative Approach |
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435 | (4) |
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439 | (3) |
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Subgroups and Loss of Power |
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440 | (1) |
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Subgroups and Capitalization on Chance |
|
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440 | (1) |
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Subgroups and Suppression of Data |
|
|
441 | (1) |
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Subgroups and the Bias of Disaggregation |
|
|
441 | (1) |
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Conclusion: Use Total Group Correlations |
|
|
442 | (1) |
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|
442 | (3) |
|
Methods of Integrating Findings Across Studies and Related Software |
|
|
445 | (22) |
|
The Traditional Narrative Procedure |
|
|
445 | (1) |
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The Traditional Voting Method |
|
|
446 | (1) |
|
Cumulation of p Values Across Studies |
|
|
447 | (2) |
|
Statistically Correct Vote-Counting Procedures |
|
|
449 | (4) |
|
Vote-Counting Methods Yielding Only Significance Levels |
|
|
449 | (1) |
|
Vote-Counting Methods Yielding Estimates of Effect Sizes |
|
|
450 | (3) |
|
Meta-Analysis of Research Studies |
|
|
453 | (10) |
|
Descriptive Meta-Analysis Methods: Glassian and Related Methods |
|
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454 | (4) |
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Meta-Analysis Methods Focusing Only on Sampling Error: Hedges's Methods, Rosenthal's Methods, and Bare-Bones Methods |
|
|
458 | (3) |
|
Psychometric Meta-Analysis: Correction for Multiple Artifacts |
|
|
461 | (2) |
|
Unresolved Problems in Meta-Analysis |
|
|
463 | (1) |
|
Summary of Methods of Integrating Studies |
|
|
463 | (1) |
|
Computer Programs for Meta-Analysis |
|
|
464 | (3) |
|
Locating, Evaluating, Selecting, and Coding Studies |
|
|
467 | (26) |
|
Conducting a Thorough Literature Search |
|
|
467 | (1) |
|
What to Do About Studies With Methodological Weaknesses |
|
|
468 | (2) |
|
Coding Studies in Meta-Analysis |
|
|
470 | (1) |
|
What to Include in the Meta-Analysis Report |
|
|
471 | (2) |
|
Information Needed in Reports of Primary Studies |
|
|
473 | (6) |
|
|
473 | (1) |
|
|
474 | (1) |
|
Studies Using Multiple Regression |
|
|
475 | (1) |
|
Studies Using Factor Analysis |
|
|
476 | (1) |
|
Studies Using Canonical Correlation |
|
|
476 | (1) |
|
Studies Using Multivariate Analysis of Variance (MANOVA) |
|
|
477 | (1) |
|
General Comments on Reporting in Primary Studies |
|
|
477 | (2) |
|
Appendix: Coding Sheet for Validity Studies |
|
|
479 | (14) |
|
Availability and Source Bias in Meta-Analysis |
|
|
493 | (18) |
|
Some Evidence on Publication Bias |
|
|
494 | (1) |
|
Effects of Methodological Quality on Mean Effect Sizes From Different Sources |
|
|
495 | (1) |
|
Multiple Hypotheses and Other Considerations in Availability Bias |
|
|
496 | (2) |
|
Methods for Detecting Availability Bias |
|
|
498 | (5) |
|
File Drawer Analysis Based on p Values |
|
|
499 | (1) |
|
File Drawer Analysis Based on Effect Size |
|
|
500 | (1) |
|
A Graphic Method for Detecting Availability Bias: The Funnel Plot |
|
|
501 | (2) |
|
Methods for Correcting for Availability Bias |
|
|
503 | (8) |
|
The Original Hedges-Olkin (1985) Method |
|
|
504 | (1) |
|
The Iyengar-Greenhouse (1988) Method |
|
|
505 | (1) |
|
The Begg-Mazumdar (1994) Method |
|
|
505 | (1) |
|
Further Work by Hedges and Associates |
|
|
506 | (2) |
|
The Duval-Tweedie (2000) Trim-and-Fill Method |
|
|
508 | (1) |
|
Summary of Methods for Correcting Availability Bias |
|
|
509 | (2) |
|
Summary of Psychometric Meta-Analysis |
|
|
511 | (6) |
|
Meta-Analysis Methods and Theories of Data |
|
|
511 | (1) |
|
What Is the Ultimate Purpose of Meta-Analysis? |
|
|
512 | (1) |
|
Psychometric Meta-Analysis: Summary Overview |
|
|
513 | (4) |
Appendix: Windows-Based Meta-Analysis Software Package |
|
517 | (10) |
References |
|
527 | (36) |
Name Index |
|
563 | (6) |
Subject Index |
|
569 | (12) |
About the Authors |
|
581 | |