Preface |
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xiii | |
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1 | (4) |
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2 Single-Arm Phase II Trial Designs |
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5 | (20) |
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5 | (6) |
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2.1.1 Design of Single-Stage Phase II Trial |
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6 | (5) |
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11 | (7) |
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11 | (1) |
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2.2.2 Simon's Optimal Design |
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11 | (1) |
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12 | (2) |
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2.2.3.1 A Class of Admissible Designs |
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14 | (1) |
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2.2.3.2 Search for Admissible Designs |
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15 | (3) |
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2.3 Two-Stage Designs with Both Upper and Lower Stopping Values |
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18 | (5) |
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23 | (2) |
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3 Inference on the Binomial Probability in Single-Arm Multistage Clinical Trials |
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25 | (26) |
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26 | (9) |
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28 | (1) |
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29 | (6) |
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35 | (1) |
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36 | (7) |
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3.3.1 P-Values under Two-Stage Designs |
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38 | (5) |
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3.4 When Realized Sample Size Is Different from That Specified in Design |
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43 | (5) |
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48 | (3) |
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4 Single-Arm Phase II Clinical Trials with Time-to-Event Endpoints |
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51 | (20) |
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4.1 A Test Based on Median Survival Time |
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51 | (5) |
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4.1.1 Statistical Testing |
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52 | (1) |
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4.1.2 Sample Size Calculation |
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53 | (1) |
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4.1.2.1 Under Uniform Accrual and Exponential Survival Models |
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54 | (2) |
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4.1.2.2 When Accrual Rate Is Given |
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56 | (1) |
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4.2 Maximum Likelihood Method for Exponential Distribution |
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56 | (3) |
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4.2.1 Statistical Testing |
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57 | (1) |
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4.2.2 Sample Size Calculation |
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57 | (1) |
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4.2.2.1 Under a Uniform Accrual Model |
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58 | (1) |
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4.2.2.2 When Accrual Rate Is Known |
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58 | (1) |
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4.3 One-Sample Log-Rank Test |
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59 | (4) |
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4.3.1 Statistical Testing |
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60 | (1) |
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4.3.2 Sample Size Calculation |
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60 | (1) |
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4.3.2.1 Under Proportional Hazards Model Assumption |
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61 | (1) |
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4.3.2.2 Under Uniform Accrual and Exponential Survival Models |
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62 | (1) |
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4.3.2.3 When Accrual Rate Is Given |
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62 | (1) |
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4.4 Two-Stage Trials Using One-Sample Log-Rank Test |
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63 | (6) |
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4.4.1 Two-Stage One-Sample Log-Rank Test |
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64 | (1) |
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4.4.2 Sample Size Calculation |
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65 | (2) |
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4.4.2.1 Under Uniform Accrual and Exponential Survival Models |
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67 | (2) |
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4.5 Binomial Testing on t-Year Survival Probability |
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69 | (1) |
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69 | (2) |
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5 Single-Arm Phase II Trials with Heterogeneous Patient Populations: Binary and Survival Outcomes |
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71 | (20) |
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72 | (14) |
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5.1.1 Single-Stage Designs |
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73 | (1) |
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5.1.1.1 Unstratified Testing |
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73 | (1) |
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5.1.1.2 Stratified Testing |
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74 | (4) |
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78 | (1) |
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5.1.2.1 Unstratified Testing |
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79 | (1) |
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5.1.2.2 Stratified Testing |
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79 | (4) |
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83 | (1) |
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5.1.3.1 Conditional P-Value |
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83 | (1) |
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5.1.3.2 When There Are More than Two Subpopulations |
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84 | (2) |
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5.2 Survival Outcome Case: Stratified One-Sample Log-Rank Test |
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86 | (3) |
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5.2.1 Statistical Testing |
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86 | (1) |
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5.2.2 Sample Size Calculation |
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87 | (1) |
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5.2.2.1 Under Uniform Accrual and Exponential Survival Models |
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88 | (1) |
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5.2.2.2 When Accrual Rate Is Given |
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88 | (1) |
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89 | (2) |
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6 Randomized Phase II Trials for Selection: No Prospective Control Arms |
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91 | (14) |
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6.1 With a Historical Control |
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93 | (8) |
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6.1.1 When Both Arms Have Identical Two-Stage Designs |
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93 | (1) |
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93 | (4) |
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97 | (1) |
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6.1.2 When Two Arms Have Different Two-Stage Designs |
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98 | (1) |
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99 | (1) |
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100 | (1) |
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6.2 When No Historical Control Exists |
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101 | (1) |
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6.3 Extension to More than Two Arms |
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102 | (1) |
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6.3.1 When a Historical Control Exists |
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102 | (1) |
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6.3.2 When No Historical Control Exists |
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103 | (1) |
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103 | (2) |
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7 Randomized Phase II Cancer Clinical Trials with a Prospective Control on Binary Endpoints (I): Two-Sample Binomial Test |
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105 | (36) |
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7.1 Two-Sample Binomial Test |
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106 | (20) |
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7.1.1 Single-Stage Design |
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106 | (1) |
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7.1.2 Two-Stage Designs with Interim Futility Test |
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107 | (10) |
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117 | (1) |
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118 | (1) |
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119 | (1) |
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7.1.3.1 Unbalanced Randomized Trials |
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119 | (2) |
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7.1.3.2 Strict Type I and II Error Control |
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121 | (1) |
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7.1.3.3 Randomized Trials with One Control and K Experimental Arms |
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122 | (4) |
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7.2 Two-Stage Designs with Both Upper and Lower Stopping Values |
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126 | (12) |
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7.2.1 Strict Control of Type I Error Rate and Power |
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138 | (1) |
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138 | (2) |
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140 | (1) |
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8 Randomized Phase II Cancer Clinical Trials with a Prospective Control on Binary Endpoints (II): Fisher's Exact Test |
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141 | (34) |
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142 | (2) |
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8.1.1 Algorithm for Single-Stage Design |
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143 | (1) |
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144 | (15) |
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8.2.1 Two-Stage Designs with a Futility Interim Test Only |
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144 | (10) |
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8.2.1.1 Choice of a1 and a |
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154 | (1) |
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8.2.1.2 Choice of n1 and n2 |
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155 | (2) |
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8.2.2 Two-Stage Designs with Both Superiority and Futility Interim Tests |
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157 | (1) |
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8.2.2.1 Choice of a1, b1, and a |
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157 | (1) |
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8.2.2.2 Choice of n1 and n2 |
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158 | (1) |
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159 | (12) |
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8.3.1 Unbalanced Two-Stage Randomized Trials |
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159 | (11) |
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8.3.2 Conditional P-Value |
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170 | (1) |
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171 | (2) |
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173 | (2) |
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9 Randomized Phase II Trials with Heterogeneous Patient Populations: Stratified Fisher's Exact Test |
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175 | (16) |
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9.1 Single-Stage Stratified Fisher's Exact Test |
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175 | (10) |
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9.1.1 Statistical Testing |
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176 | (1) |
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9.1.2 Power and Sample Size Calculation |
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177 | (3) |
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180 | (4) |
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184 | (1) |
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9.2 Two-Stage Designs with an Interim Futility Test |
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185 | (5) |
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9.2.1 How to Choose (a1, a) |
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187 | (1) |
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9.2.2 Two-Stage Designs for Stratified Fisher's Exact Test |
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188 | (1) |
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9.2.3 Conditional P-Value |
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189 | (1) |
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190 | (1) |
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10 Randomized Phase II Clinical Trials Based on Survival Endpoints: Two-Sample Log-Rank Test |
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191 | (16) |
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10.1 Two-Sample Log-Rank Test |
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191 | (4) |
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191 | (1) |
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10.1.2 Sample Size Calculation |
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192 | (1) |
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10.1.2.1 Under Exponential Survival and Uniform Censoring Distributions |
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193 | (1) |
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10.1.2.2 When Accrual Rate Is Specified Instead of Accrual Period |
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194 | (1) |
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10.2 Two-Stage Log-Rank Test |
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195 | (7) |
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10.2.1 Statistical Testing |
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195 | (2) |
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10.2.2 Sample Size Calculation |
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197 | (4) |
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10.2.2.1 Under Uniform Accrual and Exponential Survival Models |
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201 | (1) |
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10.3 Stratified Two-Sample Log-Rank Test for Single-Stage Designs |
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202 | (3) |
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202 | (1) |
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10.3.2 Sample Size Calculation |
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203 | (2) |
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205 | (2) |
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11 Some Flexible Phase II Clinical Trial Designs |
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207 | (12) |
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11.1 Comparing Survival Distributions under General Hypothesis Testing |
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207 | (9) |
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11.1.1 Generalized Log-Rank Test |
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208 | (1) |
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11.1.2 Sample Size Calculation |
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209 | (1) |
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11.1.2.1 Under Uniform Accrual and Exponential Survival Models |
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210 | (1) |
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11.1.2.2 When Accrual Rate Is Specified Instead of Accrual Period |
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211 | (1) |
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11.1.3 Sample Size Calculation under a General Accrual Pattern |
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212 | (4) |
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11.2 Randomized Phase II Trials for Comparing Maintenance Therapies |
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216 | (3) |
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11.2.1 Two-Sample Log-Rank Test |
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216 | (1) |
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11.2.2 Sample Size Calculation |
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217 | (2) |
References |
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219 | (2) |
Index |
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221 | |