Basic statistical methods and models for the sciences

INTRODUCTION Scientific Method The Aims of Medicine, Science, and Engineering The Roles of Models and Data Deterministic and Statistical Models Probability Theory and Computer Simulation Definition: Monte Carlo Simulation CLASSES OF MODELS AND STATISTICAL INFERENCE Statistical Models - the Frequency Interpretation Some Useful Statistical Models Narrowing Down the Class of Potential Models SAMPLING AND DESCRIPTIVE STATISTICS Representative and Random Samples Descriptive Statistics of Location Descriptive Statistics of Variability Other Descriptive Statistics SURVEY OF BASIC PROBABILITY Introduction Probability and its Basic Rules Discrete Uniform Models and Counting Conditional Probability Statistical Independence Systematic Approach to Probability Problems Random Variables, Expectation and Variance The Central Limit Theorem and its Applications INTRODUCTION TO STATISTICAL ESTIMATION Methods of Estimation Distribution of Sample Percentiles Adequacy of Estimators Confidence Limits and Confidence Intervals Confidence Limits and Interval for Binomial p Comparing Estimators The Bootstrap TESTING HYPOTHESES Introduction Some Commonly Used Statistical Tests Types I and II Errors and (Discriminating) Power The Simulation Approach to Estimating Power Some Final Issues and Comments BASIC REGRESSION AND ANALYSIS OF VARIANCE Introduction Simple Linear Regression Multiple Linear Regression The Analysis of Variance EPILOGUE BIBLIOGRAPHY SELECTED ANSWERS AND SOLUTIONS INDEX