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xiii | |
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xv | |
Acknowledgements |
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xix | |
Preface |
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xxi | |
Web site |
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xxix | |
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How A Meta-Analysis Works |
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3 | (6) |
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3 | (1) |
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3 | (2) |
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5 | (1) |
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Heterogeneity of effect sizes |
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6 | (1) |
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7 | (2) |
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Why Perform a Meta-Analysis |
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9 | (8) |
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9 | (1) |
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The streptokinase meta-analysis |
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10 | (1) |
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11 | (1) |
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Clinical importance of the effect |
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12 | (1) |
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12 | (2) |
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14 | (3) |
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PART 2: EFFECT SIZE AND PRECISION |
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17 | (4) |
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Treatment effects and effect sizes |
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17 | (1) |
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18 | (1) |
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Outline of effect size computations |
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19 | (2) |
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Effect Sizes Based on Means |
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21 | (12) |
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21 | (1) |
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Raw (unstandardized) mean difference D |
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21 | (4) |
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Standardized mean difference, d and g |
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25 | (5) |
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30 | (2) |
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32 | (1) |
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Effect Sizes Based on Binary Data (2*2 Tables) |
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33 | (8) |
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33 | (1) |
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34 | (2) |
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36 | (1) |
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37 | (1) |
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Choosing an effect size index |
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38 | (1) |
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39 | (2) |
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Effect Sizes Based on Correlations |
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41 | (4) |
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41 | (1) |
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41 | (2) |
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43 | (1) |
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43 | (2) |
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Converting Among Effect Sizes |
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45 | (6) |
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45 | (2) |
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Converting from the log odds ratio to d |
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47 | (1) |
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Converting from d to the log odds ratio |
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47 | (1) |
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48 | (1) |
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48 | (1) |
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49 | (2) |
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Factors That Affect Precision |
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51 | (6) |
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51 | (1) |
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Factors that affect precision |
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52 | (1) |
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52 | (1) |
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53 | (2) |
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55 | (2) |
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57 | (4) |
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PART 3: FIXED-EFFECT VERSUS RANDOM-EFFECTS MODELS |
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61 | (1) |
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61 | (1) |
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62 | (5) |
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63 | (1) |
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63 | (1) |
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63 | (1) |
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63 | (2) |
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Performing a fixed-effect meta-analysis |
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65 | (2) |
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67 | (10) |
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69 | (1) |
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69 | (1) |
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69 | (1) |
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70 | (2) |
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Performing a random-effects meta-analysis |
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72 | (2) |
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74 | (3) |
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Fixed-Effect Versus Random-Effects Models |
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77 | (10) |
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77 | (1) |
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Definition of a summary effect |
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77 | (1) |
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Estimating the summary effect |
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78 | (1) |
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Extreme effect size in a large study or a small study |
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79 | (1) |
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80 | (3) |
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83 | (1) |
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Which model should we use? |
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83 | (1) |
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Model should not be based on the test for heterogeneity |
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84 | (1) |
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85 | (1) |
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85 | (2) |
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87 | (18) |
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87 | (1) |
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Worked example for continuous data (Part 1) |
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87 | (5) |
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Worked example for binary data (Part 1) |
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92 | (5) |
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Worked example for correlational data (Part 1) |
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97 | (5) |
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102 | (3) |
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105 | (2) |
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105 | (1) |
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106 | (1) |
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106 | (1) |
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Identifying and Quantifying Heterogeneity |
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107 | (20) |
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107 | (1) |
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Isolating the variation in true effects |
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107 | (2) |
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109 | (5) |
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114 | (3) |
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117 | (2) |
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Comparing the measures of heterogeneity |
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119 | (3) |
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Confidence intervals for T2 |
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122 | (2) |
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Confidence intervals (or uncertainty intervals) for I2 |
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124 | (1) |
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125 | (2) |
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127 | (8) |
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127 | (1) |
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Prediction intervals in primary studies |
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127 | (2) |
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Prediction intervals in meta-analysis |
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129 | (2) |
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Confidence intervals and prediction intervals |
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131 | (1) |
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Comparing the confidence interval with the prediction interval |
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132 | (1) |
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133 | (2) |
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135 | (14) |
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135 | (1) |
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Worked example for continuous data (Part 2) |
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135 | (4) |
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Worked example for binary data (Part 2) |
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139 | (4) |
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Worked example for correlational data (Part 2) |
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143 | (4) |
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147 | (2) |
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149 | (38) |
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149 | (2) |
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Fixed-effect model within subgroups |
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151 | (10) |
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161 | (3) |
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Random effect with separate estimates of T2 |
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164 | (7) |
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Random effect with pooled estimate of T2 |
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171 | (8) |
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The proportion of variance explained |
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179 | (4) |
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183 | (1) |
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Obtaining an overall effect in the presence of subgroups |
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184 | (2) |
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186 | (1) |
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187 | (18) |
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187 | (1) |
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188 | (5) |
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Fixed or random effects for unexplained heterogeneity |
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193 | (3) |
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196 | (7) |
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203 | (2) |
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Notes on Subgroup Analyses and Meta-Regression |
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205 | (10) |
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205 | (1) |
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205 | (3) |
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208 | (1) |
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209 | (1) |
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Analyses of subgroups and regression analyses are observational |
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209 | (1) |
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Statistical power for subgroup analyses and meta-regression |
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210 | (1) |
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211 | (4) |
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PART 5: COMPLEX DATA STRUCTURES |
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215 | (2) |
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Independent Subgroups Within a Study |
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217 | (8) |
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217 | (1) |
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Combining across subgroups |
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218 | (4) |
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222 | (1) |
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223 | (2) |
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Multiple Outcomes or Time-Points Within a Study |
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225 | (14) |
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225 | (1) |
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Combining across outcomes or time-points |
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226 | (7) |
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Comparing outcomes or time-points within a study |
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233 | (5) |
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238 | (1) |
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Multiple Comparisons Within a Study |
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239 | (4) |
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239 | (1) |
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Combining across multiple comparisons within a study |
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239 | (1) |
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Differences between treatments |
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240 | (1) |
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241 | (2) |
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Notes on Complex Data Structures |
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243 | (6) |
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243 | (1) |
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243 | (1) |
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244 | (5) |
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249 | (2) |
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Vote Counting - A New Name For an Old Problem |
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251 | (6) |
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251 | (1) |
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Why vote counting is wrong |
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252 | (1) |
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Vote counting is a pervasive problem |
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253 | (2) |
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255 | (2) |
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Power Analysis for Meta-Analysis |
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257 | (20) |
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257 | (1) |
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257 | (4) |
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261 | (1) |
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When to use power analysis |
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262 | (1) |
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Planning for precision rather than for power |
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263 | (1) |
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Power analysis in primary studies |
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263 | (4) |
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Power analysis for meta-analysis |
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267 | (5) |
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Power analysis for a test of homogeneity |
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272 | (3) |
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275 | (2) |
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277 | (18) |
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277 | (1) |
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The problem of missing studies |
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277 | (3) |
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Methods for addressing bias |
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280 | (1) |
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281 | (1) |
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281 | (1) |
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Getting a sense of the data |
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281 | (2) |
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Is there evidence of any bias? |
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283 | (1) |
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Is the entire effect an artifact of bias? |
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284 | (2) |
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How much of an impact might the bias have? |
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286 | (3) |
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Summary of the findings for the illustrative example |
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289 | (1) |
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290 | (1) |
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291 | (1) |
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291 | (1) |
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291 | (4) |
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PART 7: ISSUES RELATED TO EFFECT SIZE |
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295 | (2) |
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Effect sizes Rather than p-Values |
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297 | (6) |
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297 | (1) |
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Relationship between p-values and effect sizes |
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297 | (2) |
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The distinction is important |
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299 | (1) |
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The p-value is often misinterpreted |
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300 | (1) |
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Narrative reviews vs. meta-analyses |
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301 | (1) |
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302 | (1) |
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303 | (8) |
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303 | (1) |
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Circumcision and risk of HIV infection |
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303 | (2) |
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An example of the paradox |
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305 | (3) |
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308 | (3) |
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Generality of the Basic Inverse-variance Method |
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311 | (12) |
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311 | (1) |
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312 | (3) |
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Other methods for estimating effect sizes |
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315 | (1) |
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Individual participant data meta-analyses |
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316 | (2) |
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318 | (1) |
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319 | (4) |
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323 | (2) |
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Meta-Analysis Methods Based on Direction and p-Values |
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325 | (6) |
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325 | (1) |
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325 | (1) |
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325 | (1) |
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326 | (4) |
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330 | (1) |
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Further Methods for Dichotomous Data |
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331 | (10) |
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331 | (1) |
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331 | (5) |
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One-step (Peto) formula for odds ratio |
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336 | (3) |
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339 | (2) |
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Psychometric Meta-Analysis |
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341 | (14) |
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341 | (1) |
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The attenuating effects of artifacts |
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342 | (2) |
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344 | (2) |
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Example of psychometric meta-analysis |
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346 | (2) |
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Comparison of artifact correction with meta-regression |
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348 | (1) |
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Sources of information about artifact values |
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349 | (1) |
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How heterogeneity is assessed |
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349 | (1) |
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Reporting in psychometric meta-analysis |
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350 | (1) |
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351 | (1) |
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351 | (4) |
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PART 9: META-ANALYSIS IN CONTEXT |
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355 | (2) |
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When Does it Make Sense to Perform a Meta-Analysis? |
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357 | (8) |
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357 | (1) |
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Are the studies similar enough to combine? |
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358 | (1) |
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Can I combine studies with different designs? |
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359 | (4) |
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How many studies are enough to carry out a meta-analysis? |
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363 | (1) |
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364 | (1) |
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Reporting The Results of a Meta-Analysis |
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365 | (6) |
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365 | (1) |
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366 | (1) |
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366 | (2) |
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368 | (1) |
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369 | (2) |
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371 | (6) |
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371 | (2) |
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Why perform a cumulative meta-analysis? |
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373 | (3) |
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376 | (1) |
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Criticisms of Meta-Analysis |
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377 | (14) |
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377 | (1) |
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One number cannot summarize a research field |
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378 | (1) |
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The file drawer problem invalidates meta-analysis |
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378 | (1) |
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Mixing apples and oranges |
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379 | (1) |
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380 | (1) |
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Impotant studies are ignored |
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381 | (1) |
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Meta-analysis can disagree with randomized trials |
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381 | (3) |
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Meta-analysis are performed poorly |
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384 | (1) |
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Is a narrative review better? |
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385 | (1) |
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386 | (1) |
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386 | (5) |
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PART 10: RESOURCES AND SOFTWARE |
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391 | (14) |
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391 | (1) |
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392 | (1) |
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Three examples of meta-analysis software |
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393 | (2) |
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Comprehensive Meta-Analysis (CMA) 2.0 |
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395 | (3) |
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398 | (2) |
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Stata macros with Stata 10.0 |
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400 | (3) |
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403 | (2) |
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Books, Web Sites and Professional Organizations |
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405 | (4) |
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Books on systematic review methods |
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405 | (1) |
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405 | (1) |
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406 | (3) |
References |
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409 | (6) |
Index |
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415 | |