1. PROBABILITY Introduction / Sample Spaces / Probability Measures / Computer Probabilities: Counting Methods / Conditional Probability / Independence / Concluding Remarks / Problems 2. RANDOM VARIABLES Discrete Random Variables / Continuous Random Variables / Functions of a Random Variable / Concluding Remarks / Problems 3. JOINT DISTRIBUTIONS Introduction / Discrete Random Variables / Continuous Random Variables / Independent Random Variables / Conditional Distributions / Functions of Jointly Distributed Random Variables / Extreme and Order Statistics / Problems 4. EXPECTED VALUES The Expected Value of a Random Variable / Variance and Standard Deviation / Covariance and Correlation / Conditional Expectation and Prediction / The Moment-Generating Function / Approximate Methods / Problems 5. LIMIT THEOREMS Introduction / The Law of Large Number / Convergence in Distribution and the Central Limit Theorem / Problems 6. DISTRIBUTIONS DERIVED FROM THE NORMAL DISTRIBUTION Introduction / Chi-Squared, t, and F Distributions / The Sample Mean and Sample Variance / Problems 7. SURVEY SAMPLING Introduction / Production Parameters / Simple Random Sampling / Estimation of a Ratio / Stratified Random Sampling / Concluding Remarks / Problems 8. ESTIMATION OF PARAMETERS AND FITTING OF PROBABILITY DISTRIBUTIONS Introduction / Fitting the Poisson Distribution to Emissions of Alpha Particles / Parameter Estimation / The Method of Moments / The Method of Maximum Likelihood / Efficiency and the Cramer-Rao Lower Bound / Sufficiency / Concluding Remarks / Problems 9. TESTING HYPOTHESES AND ASSESSING GOODNESS OF FIT Introduction / The Neyman-Pearson Paradigm / Optimal Tests: The Neyman-Pearson Lemma / The Duality of Confidence Intervals and Hypothesis Tests / Generalized Likelihood Ratio Tests / Likelihood Ratio Tests for the Multinomial Distribution / The Poisson Dispersion Test / Hanging Rootograms / Probability Plots / Tests for Normality / Concluding Remarks / Problems 10. SUMMARIZING DATA Introduction / Methods Based on the Cumulative Distribution Function / Histograms, Density Curves, and Stem-and-Leaf Plots / Measures of Location / Measures of Dispersion / Boxplots / Concluding Remarks / Problems 11. COMPARING TWO SAMPLES Introduction / Comparing Two Independent Samples / Comparing Paired Samples / Experimental Design / Concluding Remarks / Problems 12. THE ANALYSIS OF VARIANCE Introduction / The One-Way Layout / The Two-Way Layout / Concluding Remarks / Problems 13. THE ANALYSIS OF CATEGORICAL DATA Introduction / Fisher's Exact Test / The Chi-Square Test of Homogeneity / The Chi-Square Test of Independence / Matched-Pair Designs / Odds Ratios / Concluding Remarks / Problems 14. LINEAR LEAST SQUARES Introduction / Simple Linear Regression / The Matrix Approach to Linear Least Square / Statistical Properties of Least Squares Estimates / Multiple Linear Regression--An Example / Conditional Inference, Unconditional Inference, and the Bootstrap / Concluding Remarks / Problems 15. DECISION THEORY AND BAYESIAN INFERENCE Introduction / Decision Theory / The Subjectivist Point of View / Concluding Remarks / Problems / APPENDIXES / A. COMMON DISTRIBUTIONS / B. TABLES / BIBLIOGRAPHY / ANSWERS TO SELECTED PROBLEMS / AUTHOR INDEX / INDEX TO DATA SETS / SUBJECT INDEX