What is included with this book?
Preface | p. ix |
The What, Why, and How of Biostatistics in Medical Research | p. 1 |
Definition of Statistics and Biostatistics | p. 1 |
Why Study Statistics? | p. 3 |
The Medical Literature | p. 9 |
Medical Research Studies | p. 11 |
Cross-sectional studies including surveys | p. 11 |
Retrospective studies | p. 12 |
Prospective studies other than clinical trials | p. 12 |
Controlled clinical trials | p. 12 |
Conclusions | p. 13 |
Exercises | p. 14 |
Sampling from Populations | p. 15 |
Definitions of Populations and Samples | p. 17 |
Simple Random Sampling | p. 18 |
Selecting Simple Random Samples | p. 19 |
Other Sampling Methods | p. 27 |
Generating Bootstrap Samples | p. 28 |
Exercises | p. 32 |
Graphics and Summary Statistics | p. 34 |
Continuous and Discrete Data | p. 34 |
Categorical Data | p. 35 |
Frequency Histograms | p. 35 |
Stem-and-Leaf Diagrams | p. 38 |
Box Plots | p. 39 |
Bar and Pie Charts | p. 39 |
Measures of the Center of a Distribution | p. 42 |
Measures of Dispersion | p. 46 |
Exercises | p. 50 |
Normal Distribution and Related Properties | p. 51 |
Averages and the Central Limit Theorem | p. 51 |
Standard Error of the Mean | p. 53 |
Student's t-Distribution | p. 53 |
Exercises | p. 55 |
Estimating Means and Proportions | p. 58 |
The Binomial and Poisson Distributions | p. 58 |
Point Estimates | p. 59 |
Confidence Intervals | p. 62 |
Sample Size Determination | p. 65 |
Bootstrap Principle and Bootstrap Confidence Intervals | p. 66 |
Exercises | p. 69 |
Hypothesis Testing | p. 72 |
Type I and Type II Errors | p. 73 |
One-Tailed and Two-Tailed Tests | p. 74 |
P-Values | p. 74 |
Comparing Means from Two Independent Samples: Two Sample t-Test | p. 75 |
Paired t-Test | p. 76 |
Testing a Single Binomial Proportion | p. 78 |
Relationship Between Confidence Intervals and Hypothesis Test | p. 79 |
Sample Size Determination | p. 80 |
Bootstrap Tests | p. 81 |
Medical Diagnosis: Sensitivity and Specificity | p. 82 |
Special Tests in Clinical Research | p. 83 |
Superiority tests | p. 84 |
Equivalence and bioequivalence | p. 84 |
Noninferiority tests | p. 86 |
Repeated Measures Analysis of Variance and Longitudinal Data Analysis | p. 86 |
Meta-Analysis | p. 88 |
Exercises | p. 92 |
Correlation, Regression, and Logistic Regression | p. 95 |
Relationship Between Two Variables and the Scatter Plot | p. 96 |
Pearson's Correlation | p. 99 |
Simple Linear Regression and Least Squares Estimation | p. 101 |
Sensitivity to Outliers and Robust Regression | p. 104 |
Multiple Regression | p. 111 |
Logistic Regression | p. 117 |
Exercises | p. 122 |
Contingency Tables | p. 127 |
2 x 2 Tables and Chi-Square | p. 127 |
Simpson's Paradox in the 2 x 2 Table | p. 129 |
The General R x C Table | p. 132 |
Fisher's Exact Test | p. 133 |
Correlated Proportions and McNemar's Test | p. 136 |
Relative Risk and Odds Ratio | p. 138 |
Exercises | p. 141 |
Nonparametric Methods | p. 145 |
Ranking Data | p. 146 |
Wilcoxon Rank-Sum Test | p. 146 |
Sign Test | p. 149 |
Spearman's Rank-Order Correlation Coefficient | p. 150 |
Insensitivity of Rank Tests to Outliers | p. 153 |
Exercises | p. 154 |
Survival Analysis | p. 158 |
Time-to-Event Data and Right Censoring | p. 159 |
Life Tables | p. 160 |
Kaplan-Meier Curves | p. 164 |
The Kaplan-Meier curve: a nonparametric estimate of survival | p. 164 |
Confidence intervals for the Kaplan-Meier estimate | p. 165 |
The logrank and chi-square tests: comparing two or more survival curves | p. 166 |
Parametric Survival Curves | p. 168 |
Negative exponential survival distributions | p. 168 |
Weibull family of survival distributions | p. 169 |
Cox Proportional Hazard Models | p. 170 |
Cure Rate Models | p. 171 |
Exercises | p. 173 |
Solutions to Selected Exercises | p. 175 |
Appendix: Statistical Tables | p. 192 |
References | p. 204 |
Author Index | p. 209 |
Subject Index | p. 211 |
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