Preface to the second edition ................................. vii
Preface to the first edition ................................... ix
Part A: Basics
1. Using this book ............................................. 3
2. Defining the data ........................................... 9
3. Displaying the data ........................................ 15
Part B: Analysis of numerical outcomes
4. Means, standard deviations and standard errors ............. 33
5. The normal distribution .................................... 42
6. Confidence interval for a mean ............................. 50
7. Comparison of two means: confidence intervals, hypothesis
tests and P-values ......................................... 58
8. Using P-values and confidence intervals to interpret the
results of statistical analyses ............................ 71
9. Comparison of means from several groups: analysis of
variance ................................................... 80
10. Linear regression and correlation .......................... 87
11. Multiple regression ........................................ 98
12. Goodness of fit and regression diagnostics ................ 107
13. Transformations ........................................... 118
Part C: Analysis of binary outcomes
14. Probability, risk and odds (of disease) ................... 131
15. Proportions and the binomial distribution ................. 138
16. Comparing two proportions ................................. 148
17. Chi-squared tests for 2 x 2 and larger contingency
tables .................................................... 165
18. Controlling for confounding: stratification ............... 177
19. Logistic regression: comparing two or more exposure
groups .................................................... 189
20. Logistic regression: controlling for confounding and
other extensions .......................................... 205
21. Matched studies ........................................... 214
Part D: Longitudinal studies: Analysis of rates and
survival times
22. Longitudinal studies, rates and the Poisson
distribution .............................................. 227
23. Comparing rates ........................................... 240
24. Poisson regression ........................................ 249
25. Standardization ........................................... 263
26. Survival analysis: displaying and comparing survival
patterns .................................................. 272
27. Regression analysis of survival data ...................... 287
Part E: Statistical modelling
28. Likelihood ................................................ 297
29. Regression modelling ...................................... 315
30. Relaxing model assumptions ................................ 343
31. Analysis of clustered data ................................ 355
32. Systematic reviews and meta-analysis ...................... 371
33. Bayesian statistics ....................................... 388
Part F: Study design, analysis and interpretation
34. Linking analysis to study design: summary of methods ...... 395
35. Calculation of required sample size ....................... 413
36. Measurement error: assessment and implications ............ 429
37. Measures of association and impact ........................ 447
38. Strategies for analysis ................................... 458
Appendix: Statistical tables
Al. Areas in tail of the standard normal distribution ......... 470
A2. Percentage points of the standard normal distribution ..... 472
A3. Percentage points of the t distribution ................... 473
A4. Two-sided P-values for the t distribution, according to
the value of the test statistic ........................... 474
A5. Percentage points of the χ2 distribution .................. 476
A6. Probits ................................................... 477
A7. Critical values for the Wilcoxon matched pairs signed
rank test ................................................. 479
A8. Critical ranges for the Wilcoxon rank sum test 480
A9. Random numbers ............................................ 482
Bibliography .................................................. 487
Index ......................................................... 493
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