PREFACE |
|
xiii | |
FOREWORD |
|
xv | |
CHAPTER 1 HYPOTHESES, DATA, STRATIFICATION |
|
|
1. General considerations |
|
|
1 | (1) |
|
2. Two main hypotheses in drug trials: efficacy and safety |
|
|
2 | (1) |
|
3. Different types of data: continuous data |
|
|
3 | (5) |
|
4. Different types of data: proportions, percentages and contingency tables |
|
|
8 | (3) |
|
5. Different types of data: correlation coefficient |
|
|
11 | (2) |
|
|
13 | (1) |
|
7. Randomized versus historical controls |
|
|
14 | (1) |
|
|
15 | (1) |
|
|
15 | (1) |
|
|
16 | (1) |
CHAPTER 2 THE ANALYSIS OF EFFICACY DATA OF DRUG TRIALS |
|
|
|
17 | (1) |
|
2. The principle of testing statistical significance |
|
|
18 | (3) |
|
3. The T-Value = standardized mean result of study |
|
|
21 | (1) |
|
|
22 | (2) |
|
5. Null-hypothesis testing of 3 or more unpaired samples |
|
|
24 | (1) |
|
6. Three methods to test statistically a paired sample |
|
|
25 | (3) |
|
7. Null-hypothesis testing of 3 or more paired samples |
|
|
28 | (2) |
|
8. Paired data with a negative correlation |
|
|
30 | (6) |
|
|
36 | (3) |
|
|
39 | (1) |
|
|
39 | (2) |
CHAPTER 3 THE ANALYIS OF SAFETY DATA OF DRUG TRIALS |
|
|
1. Introduction, summary display |
|
|
41 | (1) |
|
2. Four methods to analyze two unpaired proportions |
|
|
42 | (6) |
|
3. Chi-square to analyze more than two unpaired proportions |
|
|
48 | (3) |
|
4. McNemar's test for paired proportions |
|
|
51 | (1) |
|
|
52 | (2) |
|
6. Odds ratio method for analyzing two unpaired proportions |
|
|
54 | (3) |
|
7. Odds ratios for 1 group, two treatments |
|
|
57 | (1) |
|
|
57 | (2) |
CHAPTER 4 EQUIVALENCE TESTING |
|
|
|
59 | (2) |
|
2. Overview of possibilities with equivalence testing |
|
|
61 | (1) |
|
|
62 | (1) |
|
4. Equivalence testing, a new gold standard? |
|
|
63 | (1) |
|
5. Validity of equivalence trials |
|
|
63 | (1) |
|
6. Special point: level of correlation in paired equivalence studies |
|
|
64 | (1) |
|
|
65 | (2) |
CHAPTER 5 STATISTICAL POWER AND SAMPLE SIZE |
|
|
1. What is statistical power |
|
|
67 | (1) |
|
2. Emphasis on statistical power rather than null-hypothesis testing |
|
|
68 | (2) |
|
|
70 | (1) |
|
4. Example of power computation using the T-Table |
|
|
71 | (2) |
|
5. Calculation of required sample size, rationale |
|
|
73 | (1) |
|
6. Calculations of required sample size, methods |
|
|
73 | (3) |
|
7. Testing not only superiority but also inferiority of a new treatment (the type III error) |
|
|
76 | (2) |
|
|
78 | (1) |
|
|
78 | (1) |
CHAPTER 6 INTERIM ANALYSES |
|
|
|
79 | (1) |
|
|
79 | (1) |
|
|
80 | (3) |
|
4. Group-sequential design of interim analysis |
|
|
83 | (1) |
|
5. Continuous sequential statistical techniques |
|
|
83 | (2) |
|
|
85 | (1) |
|
|
85 | (2) |
CHAPTER 7 MULTIPLE STATISTICAL INFERENCES |
|
|
|
87 | (1) |
|
|
87 | (5) |
|
|
92 | (3) |
|
|
95 | (1) |
|
|
95 | (2) |
CHAPTER 8 CONTROLLING THE RISK OF FALSE POSITIVE CLINICAL TRIALS |
|
|
|
97 | (1) |
|
|
98 | (1) |
|
3. Least significant difference test (LSD) test |
|
|
99 | (1) |
|
4. Other tests for adjusting the p-values |
|
|
99 | (1) |
|
5. Composite endpoint procedures |
|
|
100 | (1) |
|
6. No adjustments at all, and pragmatic solutions |
|
|
100 | (1) |
|
|
101 | (1) |
|
|
101 | (2) |
CHAPTER 9 THE INTERPRETATION OF THE P-VALUES |
|
|
|
103 | (1) |
|
2. Renewed attention to the interpretation of the p-values |
|
|
103 | (1) |
|
3. Standard interpretation of p-values |
|
|
104 | (2) |
|
4. Common misunderstandings of the p-values |
|
|
106 | (1) |
|
5. Renewed interpretations of p-values, little difference between p = 0.06 and p = 0.04 |
|
|
106 | (1) |
|
6. The real meaning of very large p-values like p>0.95 |
|
|
107 | (1) |
|
7. P-values larger than 0.95, examples (Table 2) |
|
|
108 | (2) |
|
8. The real meaning of very small p-values like p less than 0.0001 109 |
|
|
|
9. P-values smaller than 0.0001, examples (Table 3) |
|
|
110 | (1) |
|
|
111 | (1) |
|
|
111 | (2) |
|
|
113 | (4) |
|
|
CHAPTER 10 RESEARCH DATA CLOSER TO EXPECTATION THAN COMPATIBLE WITH RANDOM SAMPLING |
|
|
|
117 | (1) |
|
|
118 | (1) |
|
|
119 | (3) |
|
|
122 | (1) |
|
|
122 | (3) |
CHAPTER 11 PRINCIPLES OF LINEAR REGRESSION |
|
|
|
125 | (1) |
|
2. More on paired observations |
|
|
126 | (3) |
|
3. Using statistical software for simple linear regression |
|
|
129 | (3) |
|
4. Multiple linear regression |
|
|
132 | (1) |
|
5. Multiple linear regression, example |
|
|
133 | (4) |
|
6. Purposes of linear regression analysis |
|
|
137 | (1) |
|
7. Another real data example of multiple linear regression (exploratory purpose) |
|
|
138 | (2) |
|
|
140 | (1) |
CHAPTER 12 SUBGROUP ANALYSIS USING MULTIPLE LINEAR REGRESSION: CONFOUNDING, INTERACTION, SYNERGISM |
|
|
|
141 | (1) |
|
|
141 | (1) |
|
|
142 | (2) |
|
4. (I.) Increased precision of efficacy |
|
|
144 | (1) |
|
|
145 | (1) |
|
6. (III.) Interaction and synergism |
|
|
146 | (1) |
|
7. Estimation, and hypothesis testing |
|
|
147 | (1) |
|
|
148 | (1) |
|
|
149 | (1) |
|
|
149 | (1) |
|
|
150 | (1) |
CHAPTER 13 CURVILINEAR REGRESSION |
|
|
|
151 | (1) |
|
2. Methods, statistical model |
|
|
152 | (2) |
|
|
154 | (6) |
|
|
160 | (2) |
|
|
162 | (1) |
|
|
162 | (3) |
CHAPTER 14 LOGISTIC AND COX REGRESSION, PROBLEMS WITH REGRESSION MODELING, MARKOW MODELS |
|
|
|
165 | (1) |
|
|
165 | (4) |
|
|
169 | (2) |
|
|
171 | (3) |
|
|
174 | (1) |
|
|
175 | (2) |
|
|
177 | (1) |
|
|
177 | (2) |
CHAPTER 15 REGRESSION MODELING FOR IMPROVED PRECISION |
|
|
|
179 | (1) |
|
2. Regression modeling for improved precision of clinical trials, the underlying mechanism |
|
|
179 | (2) |
|
3. Regression model for parallel-group trials with continuous efficacy data |
|
|
181 | (1) |
|
4. Regression model for parallel-group trials with proportions or odds as efficacy data |
|
|
182 | (1) |
|
|
183 | (2) |
|
|
185 | (1) |
|
|
185 | (2) |
CHAPTER 16 POST-HOC ANALYSIS IN CLINICAL TRIALS, A CASE FOR LOGISTIC REGRESSION ANALYSIS |
|
|
|
187 | (1) |
|
|
187 | (3) |
|
3. Logistic regression equation |
|
|
190 | (1) |
|
|
191 | (1) |
|
|
191 | (2) |
CHAPTER 17 INTERACTION EFFECTS IN CLINICAL TRIALS |
|
|
|
193 | (1) |
|
2. What exactly is interaction, a hypothesized example |
|
|
193 | (3) |
|
3. How to test the presence of interaction effects statistically, a real data example |
|
|
196 | (2) |
|
4. Additional real data examples of interaction effects |
|
|
198 | (5) |
|
|
203 | (1) |
|
|
203 | (1) |
|
|
204 | (1) |
CHAPTER 18 META-ANALYSIS |
|
|
|
205 | (1) |
|
|
206 | (2) |
|
3. Clearly defined hypotheses |
|
|
208 | (1) |
|
4. Thorough search of trials |
|
|
208 | (1) |
|
5. Strict inclusion criteria |
|
|
208 | (1) |
|
|
209 | (8) |
|
7. Discussion, where are we now? |
|
|
217 | (1) |
|
|
218 | (1) |
|
|
218 | (1) |
CHAPTER 19 CROSSOVER STUDIES WITH CONTINUOUS VARIABLES: POWER ANALYSIS |
|
|
|
219 | (1) |
|
|
220 | (1) |
|
|
221 | (2) |
|
4. Statistical power of testing |
|
|
223 | (3) |
|
|
226 | (1) |
|
|
227 | (1) |
|
|
228 | (1) |
CHAPTER 20 CROSSOVER STUDIES WITH BINARY RESPONSES |
|
|
|
229 | (1) |
|
2. Assessment of carryover and treatment effect |
|
|
230 | (1) |
|
3. Statistical model for testing treatment and carryover effects |
|
|
231 | (1) |
|
|
232 | (2) |
|
|
234 | (1) |
|
|
235 | (1) |
|
|
236 | (1) |
|
|
236 | (3) |
CHAPTER 21 CROSS-OVER TRIALS SHOULD NOT BE USED TO TEST TREATMENTS WITH DIFFERENT CHEMICAL CLASS |
|
|
|
239 | (2) |
|
2. Examples from the literature in which cross-over trials are correctly used |
|
|
241 | (2) |
|
3. Examples from the literature in which cross-over trials should not have been used |
|
|
243 | (2) |
|
4. Estimate of the size of the problem by review of hypertension trials published |
|
|
245 | (1) |
|
|
246 | (1) |
|
|
247 | (1) |
|
|
248 | (1) |
CHAPTER 22 QUALITY-OF-LIFE ASSESSMENTS IN CLINICAL TRIALS |
|
|
|
249 | (1) |
|
|
249 | (2) |
|
3. Defining QOL in a subjective or objective way |
|
|
251 | (1) |
|
4. The patients' opinion is an important independent-contributor to QOL |
|
|
252 | (1) |
|
5. Lack of sensitivity of QOL-assessments |
|
|
253 | (1) |
|
6. Odds ratio analysis of effects of patient characteristics on QOL data provides increased precision |
|
|
254 | (3) |
|
|
257 | (1) |
|
|
258 | (1) |
|
|
258 | (3) |
CHAPTER 23 STATISTICAL ANALYSIS OF GENETIC DATA |
|
|
|
261 | (1) |
|
|
262 | (2) |
|
3. Genetics, genomics, proteonomics, data mining |
|
|
264 | (1) |
|
|
265 | (4) |
|
|
269 | (1) |
|
|
269 | (2) |
CHAPTER 24 RELATIONSHIP AMONG STATISTICAL DISTRIBUTIONS |
|
|
|
271 | (1) |
|
|
271 | (1) |
|
3. The normal distribution |
|
|
272 | (2) |
|
4. Null-hypothesis testing with the normal or t-distribution |
|
|
274 | (2) |
|
5. Relationship between the normal-distribution and chi-square distribution, null-hypothesis testing with chi-square distribution |
|
|
276 | (2) |
|
6. Examples of data where variance is more important than mean |
|
|
278 | (1) |
|
7. Chi-square can be used for multiple samples of data |
|
|
279 | (3) |
|
|
282 | (1) |
|
|
283 | (1) |
|
|
283 | (2) |
CHAPTER 25 TESTING CLINICAL TRIALS FOR RANDOMNESS |
|
|
|
285 | (1) |
|
2. Individual data available |
|
|
285 | (6) |
|
3. Individual data not available |
|
|
291 | (2) |
|
|
293 | (1) |
|
|
294 | (1) |
|
|
295 | (2) |
CHAPTER 26 CLINICAL DATA WHERE VARIABILITY IS MORE IMPORTANT THAN AVERAGES |
|
|
|
297 | (1) |
|
|
297 | (1) |
|
3. An index for variability in the data |
|
|
298 | (1) |
|
4. How to analyze variability, one sample |
|
|
299 | (2) |
|
5. How to analyze variability, two samples |
|
|
301 | (1) |
|
6. How to analyze variability, three or more samples |
|
|
302 | (2) |
|
|
304 | (1) |
|
|
305 | (1) |
|
|
305 | (2) |
CHAPTER 27 TESTING REPRODUCIBILITY |
|
|
|
307 | (1) |
|
2. Testing reproducibility of quantitative data (continuous data) |
|
|
307 | (3) |
|
3. Testing reproducibility of qualitative data (proportions and scores) |
|
|
310 | (2) |
|
4. Incorrect methods to assess reproducibility |
|
|
312 | (1) |
|
5. Additional real data examples |
|
|
312 | (4) |
|
|
316 | (1) |
|
|
316 | (1) |
|
|
317 | (2) |
CHAPTER 28 ACCURACY OF DIAGNOSTIC TESTS |
|
|
|
319 | (1) |
|
2. Overall accuracy of a qualitative diagnostic test |
|
|
319 | (2) |
|
3. Overall accuracy of a quantitative diagnostic test |
|
|
321 | (2) |
|
4. Determining the most accurate threshold for positive quantitative tests |
|
|
323 | (4) |
|
|
327 | (1) |
|
|
328 | (1) |
|
|
328 | (1) |
CHAPTER 29 ADVANCED ANALYSIS OF VARIANCE |
|
|
|
329 | (1) |
|
2. Type II ANOVA, random effects model |
|
|
330 | (1) |
|
3. Type III ANOVA, mixed models |
|
|
331 | (2) |
|
4. Repeated measures experiments |
|
|
333 | (2) |
|
|
335 | (1) |
|
|
336 | (1) |
|
|
336 | (1) |
CHAPTER 30 STATISTICS IS NO "BLOODLESS" ALGEBRA |
|
|
|
337 | (1) |
|
2. Statistics is fun because it proves your hypothesis was right |
|
|
337 | (1) |
|
3. Statistical principles can help to improve the quality of the trial |
|
|
338 | (1) |
|
4. Statistics can provide worthwhile extras to your research |
|
|
338 | (1) |
|
5. Statistics is not like algebra bloodless |
|
|
339 | (1) |
|
6. Statistics can turn art into science |
|
|
340 | (1) |
|
7. Statistics for support rather than illumination? |
|
|
340 | (1) |
|
8. Statistics can help the clinician to better understand limitations and benefits of current research |
|
|
341 | (1) |
|
9. Limitations of statistics |
|
|
341 | (1) |
|
|
342 | (1) |
|
|
343 | (2) |
CHAPTER 31 BIAS DUE TO CONFLICTS OF INTERESTS, SOME GUIDELINES |
|
|
|
345 | (1) |
|
2. The randomized controlled clinical trial as the gold standard |
|
|
345 | (1) |
|
3. Need for circumspection recognized |
|
|
346 | (1) |
|
4. The expanding commend of the pharmaceutical industry over clinical trials |
|
|
346 | (1) |
|
5. Flawed procedures jeopardizing current clinical trials |
|
|
347 | (1) |
|
|
348 | (1) |
|
7. Further solutions to the dilemma between sponsored research and the independence of science |
|
|
348 | (2) |
|
|
350 | (1) |
|
|
350 | (3) |
APPENDIX |
|
353 | (8) |
INDEX |
|
361 | |