Preface |
|
xvii | |
1 Introduction |
|
1 | (20) |
|
1.1 Regulatory Requirement |
|
|
2 | (3) |
|
1.1.1 Adequate and Well-Controlled Clinical Trials |
|
|
2 | (1) |
|
1.1.2 Substantial Evidence |
|
|
3 | (1) |
|
1.1.3 Why At Least Two Studies? |
|
|
3 | (1) |
|
1.1.4 Substantial Evidence with a Single Trial |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
5 | (6) |
|
|
6 | (1) |
|
|
6 | (1) |
|
|
7 | (2) |
|
1.2.3.1 Test for Equality |
|
|
7 | (1) |
|
1.2.3.2 Test for Noninferiority |
|
|
8 | (1) |
|
1.2.3.3 Test for Superiority |
|
|
8 | (1) |
|
1.2.3.4 Test for Equivalence |
|
|
8 | (1) |
|
1.2.3.5 Relationship among Noninferiority, Superiority, and Equivalence |
|
|
9 | (1) |
|
1.2.4 Primary Study Endpoint |
|
|
9 | (1) |
|
1.2.5 Clinically Meaningful Difference |
|
|
10 | (1) |
|
1.3 Procedures for Sample Size Calculation |
|
|
11 | (7) |
|
1.3.1 Type I and Type II Errors |
|
|
11 | (1) |
|
|
12 | (1) |
|
|
13 | (2) |
|
1.3.4 Probability Assessment |
|
|
15 | (1) |
|
1.3.5 Reproducibility Probability |
|
|
16 | (2) |
|
1.3.6 Sample Size Reestimation without Unblinding |
|
|
18 | (1) |
|
1.4 Aims and Structure of this Book |
|
|
18 | (3) |
|
|
18 | (1) |
|
1.4.2 Structure of this Book |
|
|
19 | (2) |
2 Considerations Prior to Sample Size Calculation |
|
21 | (18) |
|
2.1 Confounding and Interaction |
|
|
21 | (2) |
|
|
21 | (1) |
|
|
22 | (1) |
|
|
22 | (1) |
|
2.2 One-Sided Test versus Two-Sided Test |
|
|
23 | (1) |
|
|
24 | (1) |
|
2.3 Crossover Design versus Parallel Design |
|
|
24 | (2) |
|
2.3.1 Intersubject and Intrasubject Variabilities |
|
|
25 | (1) |
|
|
25 | (1) |
|
|
26 | (1) |
|
|
26 | (1) |
|
2.4 Subgroup/Interim Analyses |
|
|
26 | (3) |
|
2.4.1 Group Sequential Boundaries |
|
|
27 | (1) |
|
2.4.2 Alpha Spending Function |
|
|
28 | (1) |
|
|
29 | (2) |
|
|
31 | (1) |
|
|
31 | (8) |
|
2.6.1 Unequal Treatment Allocation |
|
|
31 | (1) |
|
2.6.2 Adjustment for Dropouts or Covariates |
|
|
32 | (1) |
|
2.6.3 Mixed-Up Randomization Schedules |
|
|
33 | (2) |
|
2.6.4 Treatment or Center Imbalance |
|
|
35 | (2) |
|
|
37 | (1) |
|
2.6.6 Multiple-Stage Design for Early Stopping |
|
|
37 | (1) |
|
2.6.7 Rare Incidence Rate |
|
|
38 | (1) |
3 Comparing Means |
|
39 | (32) |
|
|
39 | (8) |
|
|
40 | (2) |
|
3.1.2 Test for Noninferiority/Superiority |
|
|
42 | (2) |
|
3.1.3 Test for Equivalence |
|
|
44 | (1) |
|
|
45 | (2) |
|
3.1.4.1 Test for Equality |
|
|
45 | (1) |
|
3.1.4.2 Test for Noninferiority |
|
|
46 | (1) |
|
3.1.4.3 Test for Equivalence |
|
|
46 | (1) |
|
3.2 Two-Sample Parallel Design |
|
|
47 | (7) |
|
|
47 | (3) |
|
3.2.2 Test for Noninferority/Superiority |
|
|
50 | (1) |
|
3.2.3 Test for Equivalence |
|
|
51 | (1) |
|
|
52 | (2) |
|
3.2.4.1 Test for Equality |
|
|
53 | (1) |
|
3.2.4.2 Test for Noninferiority |
|
|
53 | (1) |
|
3.2.4.3 Test for Equivalence |
|
|
54 | (1) |
|
|
54 | (1) |
|
3.3 Two-Sample Crossover Design |
|
|
54 | (5) |
|
|
55 | (1) |
|
3.3.2 Test for Noninferiority/Superiority |
|
|
56 | (1) |
|
3.3.3 Test for Equivalence |
|
|
57 | (1) |
|
|
58 | (1) |
|
3.3.4.1 Therapeutic Equivalence |
|
|
58 | (1) |
|
|
58 | (1) |
|
|
59 | (1) |
|
3.4 Multiple-Sample One-Way ANOVA |
|
|
59 | (4) |
|
3.4.1 Pairwise Comparison |
|
|
60 | (1) |
|
3.4.2 Simultaneous Comparison |
|
|
61 | (1) |
|
|
61 | (1) |
|
|
62 | (1) |
|
3.5 Multiple-Sample Williams Design |
|
|
63 | (3) |
|
|
64 | (1) |
|
3.5.2 Test for Noninferiority/Superiority |
|
|
65 | (1) |
|
3.5.3 Test for Equivalence |
|
|
65 | (1) |
|
|
66 | (1) |
|
|
66 | (5) |
|
3.6.1 One-Sided versus Two-Sided Test |
|
|
67 | (1) |
|
3.6.2 Parallel Design versus Crossover Design |
|
|
67 | (1) |
|
3.6.3 Sensitivity Analysis |
|
|
68 | (3) |
4 Large Sample Tests for Proportions |
|
71 | (32) |
|
|
71 | (5) |
|
|
72 | (1) |
|
4.1.2 Test for Noninferiority/Superiority |
|
|
73 | (1) |
|
4.1.3 Test for Equivalence |
|
|
74 | (1) |
|
|
74 | (1) |
|
4.1.4.1 Test for Equality |
|
|
75 | (1) |
|
4.1.4.2 Test for Noninferiority |
|
|
75 | (1) |
|
4.1.4.3 Test for Equivalence |
|
|
75 | (1) |
|
|
75 | (1) |
|
4.2 Two-Sample Parallel Design |
|
|
76 | (6) |
|
|
77 | (1) |
|
4.2.2 Test for Noninferiority/Superiority |
|
|
77 | (1) |
|
4.2.3 Test for Equivalence |
|
|
78 | (1) |
|
|
79 | (2) |
|
4.2.4.1 Test for Equality |
|
|
80 | (1) |
|
4.2.4.2 Test for Noninferiority |
|
|
80 | (1) |
|
4.2.4.3 Test for Superiority |
|
|
80 | (1) |
|
4.2.4.4 Test for Equivalence |
|
|
81 | (1) |
|
|
81 | (1) |
|
4.3 Two-Sample Crossover Design |
|
|
82 | (4) |
|
|
83 | (1) |
|
4.3.2 Test for Noninferiority/Superiority |
|
|
84 | (1) |
|
4.3.3 Test for Equivalence |
|
|
84 | (1) |
|
|
85 | (1) |
|
4.3.4.1 Test for Equality |
|
|
85 | (1) |
|
4.3.4.2 Test for Noninferiority |
|
|
86 | (1) |
|
4.3.4.3 Test for Equivalence |
|
|
86 | (1) |
|
|
86 | (1) |
|
4.4 One-Way Analysis of Variance |
|
|
86 | (2) |
|
4.4.1 Pairwise Comparison |
|
|
87 | (1) |
|
|
87 | (1) |
|
|
88 | (1) |
|
|
88 | (4) |
|
|
89 | (1) |
|
4.5.2 Test for Noninferiority/Superiority |
|
|
89 | (1) |
|
4.5.3 Test for Equivalence |
|
|
90 | (1) |
|
|
91 | (1) |
|
4.5.4.1 Test for Equality |
|
|
91 | (1) |
|
4.5.4.2 Test for Superiority |
|
|
92 | (1) |
|
4.5.4.3 Test for Equivalence |
|
|
92 | (1) |
|
4.6 Relative Risk-Parallel Design |
|
|
92 | (4) |
|
|
93 | (1) |
|
4.6.2 Test for Noninferiority/Superiority |
|
|
94 | (1) |
|
4.6.3 Test for Equivalence |
|
|
94 | (1) |
|
|
95 | (1) |
|
4.6.4.1 Test for Equality |
|
|
95 | (1) |
|
4.6.4.2 Test for Superiority |
|
|
96 | (1) |
|
4.6.4.3 Test for Equivalence |
|
|
96 | (1) |
|
4.7 Relative Risk-Crossover Design |
|
|
96 | (3) |
|
|
97 | (1) |
|
4.7.2 Test for Noninferiority/Superiority |
|
|
97 | (1) |
|
4.7.3 Test for Equivalence |
|
|
98 | (1) |
|
|
99 | (4) |
|
4.8.1 Exact and Asymptotic Tests |
|
|
99 | (1) |
|
|
99 | (2) |
|
4.8.3 Stratified Analysis |
|
|
101 | (1) |
|
4.8.4 Equivalence Test for More Than Two Proportions |
|
|
102 | (1) |
5 Exact Tests for Proportions |
|
103 | (28) |
|
|
103 | (2) |
|
|
103 | (1) |
|
|
104 | (1) |
|
|
104 | (1) |
|
|
105 | (3) |
|
5.2.1 Negative Binomial Distribution |
|
|
106 | (1) |
|
5.2.2 Sample Size Requirement |
|
|
107 | (1) |
|
|
108 | (3) |
|
|
109 | (1) |
|
|
109 | (1) |
|
|
109 | (2) |
|
5.4 Optimal Multiple-Stage Designs for Single-Arm Trials |
|
|
111 | (11) |
|
5.4.1 Optimal Two-Stage Designs |
|
|
111 | (2) |
|
5.4.2 Flexible Two-Stage Designs |
|
|
113 | (1) |
|
5.4.3 Optimal Three-Stage Designs |
|
|
114 | (8) |
|
5.5 Flexible Designs for Multiple-Arm Trials |
|
|
122 | (7) |
|
|
129 | (2) |
6 Tests for Goodness-of-Fit and Contingency Tables |
|
131 | (16) |
|
6.1 Tests for Goodness-of-Fit |
|
|
131 | (2) |
|
|
131 | (1) |
|
|
132 | (1) |
|
6.2 Test for Independence: Single Stratum |
|
|
133 | (3) |
|
|
134 | (1) |
|
6.2.2 Likelihood Ratio Test |
|
|
135 | (1) |
|
|
136 | (1) |
|
6.3 Test for Independence: Multiple Strata |
|
|
136 | (2) |
|
6.3.1 Cochran-Mantel-Haenszel Test |
|
|
137 | (1) |
|
|
138 | (1) |
|
6.4 Test for Categorical Shift |
|
|
138 | (5) |
|
|
139 | (2) |
|
6.4.2 Stuart-Maxwell Test |
|
|
141 | (1) |
|
|
142 | (1) |
|
|
142 | (1) |
|
6.4.3.2 Stuart-Maxwell Test |
|
|
142 | (1) |
|
6.5 Carryover Effect Test |
|
|
143 | (2) |
|
|
143 | (2) |
|
|
145 | (1) |
|
|
145 | (2) |
|
6.6.1 Local Alternative versus Fixed Alternative |
|
|
145 | (1) |
|
6.6.2 Random versus Fixed Marginal Total |
|
|
146 | (1) |
|
6.6.3 r x c versus p x r x c |
|
|
146 | (1) |
7 Comparing Time-to-Event Data |
|
147 | (22) |
|
|
147 | (3) |
|
|
148 | (1) |
|
7.1.2 Median Survival Time |
|
|
148 | (1) |
|
|
148 | (1) |
|
|
149 | (1) |
|
|
150 | (8) |
|
|
152 | (1) |
|
7.2.2 Test for Noninferiority/Superiority |
|
|
153 | (1) |
|
7.2.3 Test for Equivalence |
|
|
154 | (1) |
|
|
155 | (1) |
|
7.2.4.1 Test for Equality |
|
|
155 | (1) |
|
7.2.4.2 Test for Superiority |
|
|
156 | (1) |
|
7.2.4.3 Test for Equivalence |
|
|
156 | (1) |
|
|
156 | (2) |
|
7.2.5.1 Unconditional versus Conditional |
|
|
156 | (1) |
|
7.2.5.2 Losses to Follow-Up, Dropout, and Noncompliance |
|
|
157 | (1) |
|
7.3 Cox's Proportional Hazards Model |
|
|
158 | (5) |
|
|
159 | (2) |
|
7.3.2 Test for Noninferiority/Superiority |
|
|
161 | (1) |
|
7.3.3 Test for Equivalence |
|
|
162 | (1) |
|
|
162 | (1) |
|
7.3.4.1 Test for Equality |
|
|
162 | (1) |
|
7.3.4.2 Test for Superiority |
|
|
163 | (1) |
|
7.3.4.3 Test for Equivalence |
|
|
163 | (1) |
|
7.4 Weighted Log-Rank Test |
|
|
163 | (5) |
|
|
163 | (2) |
|
|
165 | (3) |
|
|
168 | (1) |
|
7.5.1 Binomial versus Time to Event |
|
|
168 | (1) |
|
7.5.2 Local Alternative versus Fixed Alternative |
|
|
168 | (1) |
|
7.5.3 One-Sample versus Historical Control |
|
|
168 | (1) |
8 Group Sequential Methods |
|
169 | (22) |
|
|
169 | (3) |
|
|
169 | (2) |
|
|
171 | (1) |
|
8.2 O'Brien and Fleming's Test |
|
|
172 | (3) |
|
|
173 | (1) |
|
|
174 | (1) |
|
8.3 Wang and Tsiatis' Test |
|
|
175 | (2) |
|
|
175 | (1) |
|
|
175 | (2) |
|
|
177 | (3) |
|
|
177 | (1) |
|
|
178 | (2) |
|
|
180 | (1) |
|
|
180 | (1) |
|
|
180 | (1) |
|
|
181 | (2) |
|
|
181 | (1) |
|
|
182 | (1) |
|
8.7 Alpha-Spending Function |
|
|
183 | (2) |
|
8.8 Sample Size Reestimation |
|
|
185 | (2) |
|
|
185 | (1) |
|
|
186 | (1) |
|
|
187 | (2) |
|
|
187 | (1) |
|
8.9.2 Comparing Proportions |
|
|
188 | (1) |
|
|
189 | (2) |
9 Comparing Variabilities |
|
191 | (42) |
|
9.1 Comparing Intrasubject Variabilities |
|
|
191 | (9) |
|
9.1.1 Parallel Design with Replicates |
|
|
192 | (3) |
|
9.1.1.1 Test for Equality |
|
|
192 | (1) |
|
9.1.1.2 Test for Noninferiority/Superiority |
|
|
193 | (1) |
|
9.1.1.3 Test for Similarity |
|
|
194 | (1) |
|
|
195 | (1) |
|
9.1.2 Replicated Crossover Design |
|
|
195 | (5) |
|
9.1.2.1 Test for Equality |
|
|
197 | (1) |
|
9.1.2.2 Test for Noninferiority/Superiority |
|
|
198 | (1) |
|
9.1.2.3 Test for Similarity |
|
|
198 | (1) |
|
|
199 | (1) |
|
9.2 Comparing Intrasubject CVs |
|
|
200 | (9) |
|
9.2.1 Simple Random Effects Model |
|
|
200 | (4) |
|
9.2.1.1 Test for Equality |
|
|
201 | (1) |
|
9.2.1.2 Test for Noninferiority/Superiority |
|
|
202 | (1) |
|
9.2.1.3 Test for Similarity |
|
|
203 | (1) |
|
|
203 | (1) |
|
9.2.2 Conditional Random Effects Model |
|
|
204 | (5) |
|
9.2.2.1 Test for Equality |
|
|
206 | (1) |
|
9.2.2.2 Test for Noninferiority/Superiority |
|
|
206 | (1) |
|
9.2.2.3 Test for Similarity |
|
|
207 | (1) |
|
|
208 | (1) |
|
|
208 | (1) |
|
9.3 Comparing Intersubject Variabilities |
|
|
209 | (8) |
|
9.3.1 Parallel Design with Replicates |
|
|
209 | (4) |
|
9.3.1.1 Test for Equality |
|
|
210 | (1) |
|
9.3.1.2 Test for Noninferiority/Superiority |
|
|
211 | (1) |
|
|
212 | (1) |
|
9.3.2 Replicated Crossover Design |
|
|
213 | (4) |
|
9.3.2.1 Test for Equality |
|
|
213 | (2) |
|
9.3.2.2 Test for Noninferiority/Superiority |
|
|
215 | (1) |
|
|
216 | (1) |
|
9.4 Comparing Total Variabilities |
|
|
217 | (14) |
|
9.4.1 Parallel Designs without Replicates |
|
|
217 | (4) |
|
9.4.1.1 Test for Equality |
|
|
218 | (1) |
|
9.4.1.2 Test for Noninferiority/Superiority |
|
|
219 | (1) |
|
9.4.1.3 Test for Similarity |
|
|
219 | (1) |
|
|
220 | (1) |
|
9.4.2 Parallel Design with Replicates |
|
|
221 | (3) |
|
9.4.2.1 Test for Equality |
|
|
221 | (1) |
|
9.4.2.2 Test for Noninferiority/Superiority |
|
|
222 | (1) |
|
|
223 | (1) |
|
9.4.3 The Standard 2 x 2 Crossover Design |
|
|
224 | (3) |
|
9.4.3.1 Test for Equality |
|
|
224 | (2) |
|
9.4.3.2 Test for Noninferiority/Superiority |
|
|
226 | (1) |
|
|
227 | (1) |
|
9.4.4 Replicated 2 x 2m Crossover Design |
|
|
227 | (8) |
|
9.4.4.1 Test for Equality |
|
|
227 | (2) |
|
9.4.4.2 Test for Noninferiority/Superiority |
|
|
229 | (1) |
|
|
230 | (1) |
|
|
231 | (2) |
10 Bioequivalence Testing |
|
233 | (24) |
|
10.1 Bioequivalence Criteria |
|
|
234 | (1) |
|
10.2 Average Bioequivalence |
|
|
235 | (3) |
|
|
237 | (1) |
|
10.3 Population Bioequivalence |
|
|
238 | (4) |
|
|
240 | (2) |
|
10.4 Individual Bioequivalence |
|
|
242 | (6) |
|
|
246 | (2) |
|
10.5 In Vitro Bioequivalence |
|
|
248 | (5) |
|
|
252 | (1) |
|
10.6 Sample Size Requirement for Analytical Similarity Assessment of Biosimilar Products |
|
|
253 | (4) |
|
10.6.1 FDA's Tiered Approach |
|
|
253 | (1) |
|
10.6.2 Sample Size Requirement |
|
|
253 | (4) |
11 Dose-Response Studies |
|
257 | (20) |
|
|
257 | (4) |
|
11.1.1 Linear Contrast Test |
|
|
258 | (3) |
|
|
261 | (1) |
|
11.3 Time-to-Event Endpoint |
|
|
262 | (2) |
|
11.4 Williams' Test for Minimum Effective Dose |
|
|
264 | (4) |
|
11.5 Cochran-Armitage's Test for Trend |
|
|
268 | (3) |
|
11.6 Dose Escalation Trials |
|
|
271 | (5) |
|
11.6.1 A + B Escalation Design without Dose De-Escalation |
|
|
272 | (2) |
|
11.6.2 A + B Escalation Design with Dose De-Escalation |
|
|
274 | (2) |
|
|
276 | (1) |
12 Microarray Studies |
|
277 | (20) |
|
|
277 | (1) |
|
|
278 | (10) |
|
12.2.1 Model and Assumptions |
|
|
278 | (2) |
|
12.2.2 Sample Size Calculation |
|
|
280 | (8) |
|
|
288 | (7) |
|
12.3.1 Multiple Testing Procedures |
|
|
288 | (2) |
|
12.3.2 Sample Size Calculation |
|
|
290 | (3) |
|
|
293 | (2) |
|
|
295 | (2) |
13 Bayesian Sample Size Calculation |
|
297 | (24) |
|
13.1 Posterior Credible Interval Approach |
|
|
298 | (14) |
|
13.1.1 Three Selection Criteria |
|
|
298 | (2) |
|
13.1.1.1 Average Coverage Criterion |
|
|
299 | (1) |
|
13.1.1.2 Average Length Criterion |
|
|
299 | (1) |
|
13.1.1.3 Worst Outcome Criterion |
|
|
300 | (1) |
|
|
300 | (5) |
|
|
300 | (1) |
|
13.1.2.2 Unknown Precision |
|
|
301 | (1) |
|
13.1.2.3 Mixed Bayesian-Likelihood |
|
|
302 | (3) |
|
13.1.3 Two-Sample with Common Precision |
|
|
305 | (3) |
|
13.1.3.1 Known Common Precision |
|
|
306 | (1) |
|
13.1.3.2 Unknown Common Precision |
|
|
307 | (1) |
|
13.1.4 Two-Sample with Unequal Precisions |
|
|
308 | (4) |
|
|
310 | (1) |
|
13.1.4.2 Unknown Precisions |
|
|
311 | (1) |
|
13.2 Posterior Error Approach |
|
|
312 | (4) |
|
13.2.1 Posterior Error Rate |
|
|
312 | (2) |
|
|
314 | (2) |
|
13.3 Bootstrap-Median Approach |
|
|
316 | (3) |
|
|
317 | (1) |
|
13.3.2 Bootstrap-Median Approach |
|
|
318 | (1) |
|
|
319 | (2) |
14 Nonparametrics |
|
321 | (16) |
|
14.1 Violation of Assumptions |
|
|
321 | (2) |
|
14.2 One-Sample Location Problem |
|
|
323 | (4) |
|
|
326 | (1) |
|
|
326 | (1) |
|
14.3 Two-Sample Location Problem |
|
|
327 | (3) |
|
|
329 | (1) |
|
|
330 | (1) |
|
14.4 Test for Independence |
|
|
330 | (4) |
|
|
333 | (1) |
|
|
334 | (3) |
|
|
334 | (1) |
|
14.5.2 Comparing Variabilities |
|
|
334 | (1) |
|
14.5.3 Multiple-Sample Location Problem |
|
|
334 | (1) |
|
14.5.4 Testing Scale Parameters |
|
|
335 | (2) |
15 Sample Size Calculations for Cluster Randomized Trials |
|
337 | (12) |
|
|
338 | (4) |
|
15.1.1 Comparison of Means |
|
|
339 | (1) |
|
15.1.2 Comparison of Proportions |
|
|
340 | (1) |
|
15.1.3 Comparison of Incidence Rates |
|
|
341 | (1) |
|
|
342 | (1) |
|
|
342 | (5) |
|
15.2.1 Comparison of Means |
|
|
343 | (1) |
|
15.2.2 Comparison of Proportions |
|
|
344 | (1) |
|
15.2.3 Comparison of Incidence Rates |
|
|
345 | (2) |
|
|
347 | (2) |
16 Test for Homogeneity of Two Zero-Inflated Poisson Population |
|
349 | (24) |
|
16.1 Zero-Inflated Poisson Distribution |
|
|
350 | (1) |
|
16.2 Testing Differences between Treatment Groups |
|
|
351 | (5) |
|
16.2.1 Testing the Difference in Both Groups of Zeros and Nonzeros |
|
|
352 | (2) |
|
16.2.2 Testing the Difference in the Groups of Zeros |
|
|
354 | (1) |
|
16.2.3 Testing the Difference of the Groups of Nonzeros |
|
|
355 | (1) |
|
16.3 Sample Size Calculation |
|
|
356 | (7) |
|
16.3.1 Testing the Difference in the Groups of Both Zeros and Nonzeros |
|
|
356 | (1) |
|
16.3.2 Testing the Difference in the Groups of Zeros between Treatments |
|
|
357 | (1) |
|
16.3.3 Testing the Difference in the Groups of Nonzeros between Treatments |
|
|
357 | (4) |
|
|
361 | (2) |
|
|
363 | (7) |
|
|
363 | (3) |
|
16.4.2 Comparing the Effects of Control and Test Treatment |
|
|
366 | (1) |
|
16.4.3 Sample Size Calculation |
|
|
367 | (1) |
|
|
368 | (2) |
|
|
370 | (1) |
|
|
371 | (2) |
17 Sample Size for Clinical Trials with Extremely Low Incidence Rate |
|
373 | (16) |
|
17.1 Clinical Studies with Extremely Low Incidence Rate |
|
|
374 | (1) |
|
17.2 Classical Methods for Sample Size Determination |
|
|
374 | (4) |
|
|
374 | (1) |
|
17.2.2 Precision Analysis |
|
|
375 | (1) |
|
|
376 | (2) |
|
17.3 Chow and Chiu's Procedure for Sample Size Estimation |
|
|
378 | (2) |
|
17.3.1 Basic Idea of Chow and Chiu's Procedure |
|
|
378 | (1) |
|
17.3.2 Sensitivity Analysis |
|
|
379 | (1) |
|
|
380 | (1) |
|
17.4 Data Safety Monitoring Procedure |
|
|
380 | (3) |
|
|
383 | (6) |
18 Sample Size Calculation for Two-Stage Adaptive Trial Design |
|
389 | (32) |
|
18.1 Types of Two-Stage Adaptive Designs |
|
|
390 | (1) |
|
18.2 Analysis and Sample Size for Category SS Adaptive Designs |
|
|
391 | (7) |
|
18.2.1 Theoretical Framework |
|
|
392 | (2) |
|
|
394 | (3) |
|
|
397 | (1) |
|
18.3 Analysis and Sample Size for Category II SD Adaptive Designs |
|
|
398 | (16) |
|
18.3.1 Continuous Endpoints |
|
|
398 | (4) |
|
|
402 | (3) |
|
18.3.3 Time-to-Event Endpoints |
|
|
405 | (9) |
|
18.4 Analysis and Sample Size for Category III DS and IV DD Two-Stage Adaptive Designs |
|
|
414 | (5) |
|
18.4.1 Nonadaptive Version |
|
|
415 | (1) |
|
|
416 | (1) |
|
18.4.3 A Case Study of Hepatitis C Virus Infection |
|
|
417 | (2) |
|
|
419 | (2) |
19 Simulation-Based Sample Size and Power Analysis |
|
421 | (6) |
|
19.1 Example: Survival Study with Nonconstant Treatment Effect |
|
|
422 | (2) |
|
19.2 Example: Cluster Randomized Study with Stepped Wedge Design |
|
|
424 | (3) |
20 Sample Size Calculation in Other Areas |
|
427 | (38) |
|
20.1 QT/QTc Studies with Time-Dependent Replicates |
|
|
427 | (8) |
|
20.1.1 Study Designs and Models |
|
|
428 | (1) |
|
20.1.2 Power and Sample Size Calculation |
|
|
429 | (4) |
|
|
433 | (1) |
|
|
434 | (1) |
|
20.2 Propensity Analysis in Nonrandomized Studies |
|
|
435 | (5) |
|
20.2.1 Weighted Mantel-Haenszel Test |
|
|
435 | (1) |
|
20.2.2 Power and Sample Size |
|
|
436 | (3) |
|
|
439 | (1) |
|
20.2.4 Concluding Remarks |
|
|
440 | (1) |
|
20.3 ANOVA with Repeated Measures |
|
|
440 | (5) |
|
|
440 | (2) |
|
20.3.2 Hypotheses Testing |
|
|
442 | (1) |
|
20.3.3 Sample Size Calculation |
|
|
443 | (1) |
|
|
443 | (2) |
|
|
445 | (4) |
|
|
446 | (2) |
|
20.4.2 Sample Size Calculation |
|
|
448 | (1) |
|
|
448 | (1) |
|
|
449 | (8) |
|
|
449 | (3) |
|
20.5.2 Assessment of Similarity |
|
|
452 | (5) |
|
|
457 | (1) |
|
20.6 Vaccine Clinical Trials |
|
|
457 | (8) |
|
20.6.1 Reduction in Disease Incidence |
|
|
458 | (1) |
|
20.6.2 Evaluation of Vaccine Efficacy with Extremely Low Disease Incidence |
|
|
459 | (2) |
|
20.6.3 Relative Vaccine Efficacy |
|
|
461 | (1) |
|
20.6.4 Composite Efficacy Measure |
|
|
461 | (2) |
|
|
463 | (2) |
Bibliography |
|
465 | (16) |
Index |
|
481 | |