Preface |
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xiii | |
About the Author |
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xvii | |
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1 Randomized clinical trials with noncompliance: issues, definitions and problems of commonly used analyses |
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1 | (20) |
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1.1 Randomized encouragement design (RED) |
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4 | (2) |
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1.2 Randomized consent designs |
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6 | (3) |
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1.2.1 Single-consent randomized design (SCRD) |
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7 | (1) |
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1.2.2 Double-consent randomized design (DCRD) |
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8 | (1) |
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1.3 Treatment efficacy versus programmatic effectiveness |
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9 | (1) |
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1.4 Definitions of commonly used terms and assumptions |
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10 | (3) |
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1.5 Most commonly used analyses for a RCT with noncompliance |
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13 | (8) |
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20 | (1) |
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2 Randomized clinical trials with noncompliance under parallel groups design |
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21 | (70) |
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26 | (9) |
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2.2 Testing noninferiority |
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35 | (6) |
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2.2.1 Using the difference in proportions |
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35 | (1) |
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2.2.2 Using the ratio of proportions |
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36 | (2) |
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2.2.3 Using the odds ratio of proportions |
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38 | (3) |
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41 | (2) |
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2.3.1 Using the difference in proportions |
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41 | (1) |
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2.3.2 Using the ratio of proportions |
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42 | (1) |
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2.3.3 Using the odds ratio of proportions |
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43 | (1) |
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43 | (8) |
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2.4.1 Estimation of the proportion difference |
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44 | (3) |
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2.4.2 Estimation of the proportion ratio |
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47 | (2) |
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2.4.3 Estimation of the odds ratio |
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49 | (2) |
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2.5 Sample size determination |
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51 | (14) |
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2.5.1 Sample size calculation for testing superiority |
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52 | (3) |
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2.5.2 Sample size calculation for testing noninferiority |
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55 | (3) |
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2.5.3 Sample size calculation for testing equivalence |
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58 | (7) |
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2.6 Risk model-based approach |
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65 | (26) |
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2.6.1 Constant risk additive model |
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66 | (2) |
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2.6.2 Constant risk multiplicative model |
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68 | (3) |
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2.6.3 Generalized risk additive model |
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71 | (2) |
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2.6.4 Generalized risk multiplicative model |
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73 | (2) |
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75 | (13) |
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88 | (3) |
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3 Randomized clinical trials with noncompliance in stratified sampling |
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91 | (46) |
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96 | (4) |
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3.2 Testing noninferiority |
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100 | (5) |
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3.2.1 Using the difference in proportions |
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100 | (2) |
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3.2.2 Using the ratio of proportions |
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102 | (2) |
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3.2.3 Using the odds ratio of proportions |
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104 | (1) |
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105 | (3) |
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3.3.1 Using the difference in proportions |
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106 | (1) |
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3.3.2 Using the ratio of proportions |
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107 | (1) |
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3.3.3 Using the odds ratio of proportions |
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107 | (1) |
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108 | (11) |
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3.4.1 Estimation of the proportion difference |
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108 | (5) |
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3.4.2 Estimation of the proportion ratio |
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113 | (2) |
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3.4.3 Estimation of the odds ratio |
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115 | (4) |
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3.5 Test homogeneity of index in large strata |
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119 | (18) |
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3.5.1 Testing homogeneity of the proportion difference |
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120 | (2) |
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3.5.2 Testing homogeneity of the proportion ratio |
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122 | (3) |
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3.5.3 Test homogeneity of the odds ratio |
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125 | (3) |
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128 | (5) |
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133 | (4) |
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4 Randomized clinical trials with noncompliance under cluster sampling |
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137 | (48) |
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143 | (3) |
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4.2 Testing noninferiority |
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146 | (5) |
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4.2.1 Using the difference in proportions |
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147 | (1) |
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4.2.2 Using the ratio of proportions |
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148 | (1) |
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4.2.3 Using the odds ratio of proportions |
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149 | (2) |
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151 | (2) |
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4.3.1 Using the difference in proportions |
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151 | (1) |
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4.3.2 Using the ratio of proportions |
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152 | (1) |
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4.3.3 Using the odds ratio of proportions |
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152 | (1) |
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153 | (5) |
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4.4.1 Estimation of the proportion difference |
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153 | (1) |
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4.4.2 Estimation of the proportion ratio |
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154 | (3) |
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4.4.3 Estimation of the odds ratio |
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157 | (1) |
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4.5 Sample size determination |
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158 | (14) |
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4.5.1 Sample size calculation for testing superiority |
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159 | (5) |
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4.5.2 Sample size calculation for testing noninferiority |
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164 | (6) |
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4.5.3 Sample size calculation for testing equivalence |
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170 | (2) |
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4.6 An alternative randomization-based approach |
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172 | (13) |
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176 | (5) |
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181 | (4) |
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5 Randomized clinical trials with both noncompliance and subsequent missing outcomes |
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185 | (62) |
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193 | (3) |
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5.2 Testing noninferiority |
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196 | (4) |
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5.2.1 Using the difference in proportions |
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196 | (1) |
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5.2.2 Using the ratio of proportions |
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197 | (1) |
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5.2.3 Using the odds ratio of proportions |
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198 | (2) |
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200 | (2) |
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5.3.1 Using the difference in proportions |
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200 | (1) |
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5.3.2 Using the ratio of proportions |
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201 | (1) |
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5.3.3 Using the odds ratio of proportions |
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201 | (1) |
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202 | (4) |
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5.4.1 Estimation of the proportion difference |
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202 | (1) |
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5.4.2 Estimation of the proportion ratio |
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203 | (2) |
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5.4.3 Estimation of the odds ratio |
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205 | (1) |
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5.5 Sample size determination |
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206 | (15) |
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5.5.1 Sample size calculation for testing superiority |
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207 | (5) |
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5.5.2 Sample size calculation for testing noninferiority |
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212 | (1) |
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5.5.3 Sample size calculation for testing equivalence |
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213 | (8) |
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5.6 An alternative missing at random (MAR) model |
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221 | (26) |
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5.6.1 Estimation of the proportion difference |
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226 | (3) |
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5.6.2 Estimation of the proportion ratio |
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229 | (1) |
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5.6.3 Estimation of the odds ratio |
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230 | (3) |
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233 | (5) |
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238 | (9) |
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6 Randomized clinical trials with noncompliance in repeated binary measurements |
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247 | (42) |
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253 | (3) |
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6.2 Testing noninferiority |
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256 | (4) |
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6.2.1 Using the difference in proportions |
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256 | (1) |
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6.2.2 Using the ratio of proportions |
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257 | (3) |
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260 | (1) |
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6.3.1 Using the difference in proportions |
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260 | (1) |
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6.3.2 Using the ratio of proportions |
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260 | (1) |
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261 | (12) |
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6.4.1 Estimation of the proportion difference |
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261 | (7) |
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6.4.2 Estimation of the proportion ratio |
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268 | (5) |
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6.5 Sample size determination |
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273 | (16) |
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6.5.1 Sample size calculation for testing superiority |
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273 | (2) |
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6.5.2 Sample size calculation for testing noninferiority |
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275 | (3) |
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6.5.3 Sample size calculation for testing equivalence |
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278 | (3) |
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281 | (8) |
References |
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289 | (14) |
Index |
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303 | |