Introduction to statistics - Walpole, Ronald E. (Singapore Pearson Prentice Hall, 2009)
Table of Contents: 1. Introduction: 1.1. Descriptive and Inferential Statistics -- 1.2. Populations and Samples -- 1.3. Problems for The Statistician -- 1.4. Summation Notation -- 2. Statistical Measures of Data: 2.1. Parameters and Statistics -- 2.2. Measures of Central Location -- 2.3. Measures of Variation -- 2.4. Chebyshev's Theorem -- 2.5. Scores -- 3. Statistical Description of Data: 3.1. Frequency Distributions -- 3.2. Graphical Representations -- 3.3. Symmetry and Skewness -- 3.4. Percentiles, Deciles, And Quartiles -- 4. Probability: 4.1. Sample Space -- 4.2. Events -- 4.3. Operations With Events -- 4.4. Counting Sample Points -- 4.5. Probability Of An Event -- 4.6. Additive Rules -- 4.7. Conditional Probability -- 4.8. Multiplicative Rules -- 4.9. Bayes Rule -- 5. Distributions of Random Variables: 5.1. Concept of Random Variable -- 5.2. Discrete Probability Distributions -- 5.3. Continuous Probability Distributions -- 5.4. Joint Probability Distributions -- 5.5. Mean of a Random Variable -- 5.6. Variance of a Random Variable -- 5.7. Properties of The Mean and Variance -- 6. Some Discrete Probability Distributions: 6.1. Uniform Distribution -- 6.2. Binomial and Multinomial Distributions -- 6.3. Hypergeometric Distribution -- 6.4. Negative Binomial and Geometric Distributions -- 6.5. Poisson Distribution -- 7. Normal Distribution: 7.1. Normal Curve -- 7.2. Areas Under the Normal Curve -- 7.3. Applications of the Normal Distribution -- 7.4. Normal Approximation to the Binomial Distribution -- 8. Sampling Theory: 8.1. Sampling Distributions -- 8.2. Sampling Distributions of The Mean -- 8.3. T Distribution -- 8.4. Sampling Distribution of The Differences of Means -- 8.5. Simulated Experiments -- 8.6. Sampling Procedures -- 9. Estimation of Parameters: 9.1. Statistical Inference -- 9.2. Classical Methods of Estimation -- 9.3. Estimating the Mean -- 9.4. Estimating the Difference Between Two Means -- 9.5. Estimating a Proportion -- 9.6. Estimating the Difference Between Two Proportions -- 9.7. Estimating the Variance -- 9.8. Estimating the Ratio of Two Variances -- 9.9. Bayesian Methods of Estimation -- 9.10. Decision Theory -- 10. Tests of Hypothesis: 10.1. Statistical Hypotheses -- 10.2. Testing A Statistical Hypothesis -- 10.3. One-Tailed and Two-Tailed Tests -- 10.4. Tests Concerning Means -- 10.5. Tests Concerning Variances -- 10.6. Tests Concerning Proportions -- 10.7. Testing The Difference Between Two Proportions -- 10.8. Goodness-Of-Fit Test -- 10.9. Test For Independence -- 10.10. Testing Several Proportions -- 11. Regression and Correlation: 11.1. Linear Regression -- 11.2. Regression Analysis -- 11.3. Inferences Concerning the Regression Coefficients -- 11.4. Prediction -- 11.5. Test for Linearity of Regression -- 11.6. Exponential Regression -- 11.7. Multiple Regression -- 11.8. Linear Correlation -- 11.9. Multiple And Partial Correlation -- 12. Analysis of Variance: 12.1. Analysis-of- Variance Technique -- 12.2. One-Way Classification -- 12.3. Test for The Equality of Several Variances -- 12.4. Multiple-Range Test -- 12.5. Two-Way Classification -- 12.6. Two-Way Classification with Interaction -- 12.7. Design of Experiments -- 12.8. Latin Squares -- 13. Nonparametric Statistics: 13.1. Nonparametric Tests -- 13.2. Sign Test -- 13.3. Wilcoxon Signed-Rank Test -- 13.4. Wilcoxon Rank-Sum Test -- 13.5. Kruskal-Wallis Test -- 13.6. Runs Test -- 13.7. Rank Correlation Coefficient -- References. Appendix: Statistical Tables. Answers To Selected Exercises. Index.
Keywords: Statistics