Biostatistics : a computing approach /
Stewart Anderson.
- Boca Raton : CRC Press, 2012.
- xx, 306 p. : ill. ; 25 cm.
- Chapman & Hall/CRC biostatistics series .
Includes bibliographical references (p. 293-301) and index.
Review of Topics in Probability and Statistics Introduction to Probability Conditional Probability Random Variables The Uniform distribution The Normal distribution The Binomial Distribution The Poisson Distribution The Chi–Squared Distribution Student’s t–distribution The F-distribution The Hypergeometric Distribution The Exponential Distribution Exercises
Use of Simulation Techniques Introduction What can we accomplish with simulations? How to employ a simple simulation strategy Generation of Pseudorandom Numbers Generating Discrete and Continuous random variables Testing Random Number Generators A Brief Note on the Efficiency of Simulation Algorithms Exercises
The Central Limit Theorem Introduction The Strong Law of Large Numbers The Central Limit Theorem Summary of the Inferential Properties of the Sample Mean Appendix: Program Listings Exercises
Correlation and Regression Introduction Pearson’s Correlation Coefficient Simple Linear Regression Multiple Regression Visualization of Data Model Assessment and Related Topics Polynomial Regression Smoothing Techniques Appendix: A Short Tutorial in Matrix Algebra Exercises
Analysis of Variance Introduction One–Way Analysis of Variance General Contrast Multiple Comparisons Procedures Gabriel’s method Dunnett’s Procedure Two-Way Analysis of Variance: Factorial Design Two-Way Analysis of Variance: Randomized Complete Blocks Analysis of Covariance Exercises
DiscreteMeasures of Risk Introduction Odds Ratio (OR) and Relative Risk (RR) Calculating risk in the presence of confounding Logistic Regression Using SAS and R for Logistic Regression Comparison of Proportions for Paired Data Exercises
Multivariate Analysis The Multivariate Normal Distribution One and Two Sample Multivariate Inference Multivariate Analysis of Variance Multivariate Regression Analysis Classification Methods Exercises
Analysis of Repeated Measures Data Introduction Plotting Repeated Measures Data Univariate Approaches for the Analysis of Repeated Measures Data Covariance Pattern Models Multivariate Approaches Modern Approaches for the Analysis of Repeated Measures Data Analysis of Incomplete Repeated Measures Data Exercises
NonparametricMethods Introduction Comparing Paired Distributions Comparing Two Independent Distributions Kruskal–Wallis Test Spearman’s rho The Bootstrap Exercises
Analysis of Time to Event Data Incidence Density (ID) Introduction to Survival Analysis Estimation of the Survival Curve Estimating the Hazard Function Comparing Survival in Two Groups Cox Proportional Hazards Model Cumulative Incidence Exercises
Sample size and power calculations Sample sizes and power for tests of normally distributed data Sample size and power for Repeated Measures Data Sample size and power for survival analysis Constructing Power Curves Exercises
The emergence of high-speed computing has facilitated the development of many exciting statistical and mathematical methods in the last 25 years, broadening the landscape of available tools in statistical investigations of complex data. Biostatistics: A Computing Approach focuses on visualization and computational approaches associated with both modern and classical techniques. Furthermore, it promotes computing as a tool for performing both analyses and simulations that can facilitate such understanding.
As a practical matter, programs in R and SAS are presented throughout the text. In addition to these programs, appendices describing the basic use of SAS and R are provided. Teaching by example, this book emphasizes the importance of simulation and numerical exploration in a modern-day statistical investigation. A few statistical methods that can be implemented with simple calculations are also worked into the text to build insight about how the methods really work.
Suitable for students who have an interest in the application of statistical methods but do not necessarily intend to become statisticians, this book has been developed from Introduction to Biostatistics II, which the author taught for more than a decade at the University of Pittsburgh.