This volume introduces the theoretical ideas in probability and statistics by means of examples. The strengths of the BASIC computer language are exploited to illustrate probabilistic and statistical ideas. Topics described by the Committee on the Under-graduate Program in Mathematics are included.
Preface
List of Basic Programs
Chapter 1. Introduction
1.1 Probability and Statistics
1.2The use of BASIC programs
Chapter 2. Elementary Probability
2.1 Random Experiments
2.2 Definition of a Probability Model in the Discrete Case
2.3 Probabilities of Events in the Discrete Case
2.4 Probabilities of Composite Events in a Discrete Sample Space S
2.5 Conditional Frequency and Conditional Probability
2.6 Independent Events
Chapter 3. Properties of Discrete Random Variables
3.1 Discrete Random Variables
3.2 The Moments of a Discrete Random variable
3.3 The Binomial Random Variable
3.4 The Hyper geometric Distribution
3.5 The Poisson Distribution
3.6 The Standard Deviation and the Chebyshev Inequality
Chapter 4 Continuous Outcome Spaces
4.1 Introduction to Continuous Outcome Spaces
4.2 Continuous Probability Measures and Random Variables
4.3 Moments of a Continuous Random Variable
4.4 Special Continuous Random Variables
4.5 Transformations of Continuous Random Variables
4.6 Generating Random Samples from Continuous Distributions
Chapter 5 Sampling
5.1 Introduction
5.2 Statistics Estimating Location
5.3 Statistics Estimating Variability
5.4 The Central Limit Theorem
5.5 Estimation of u Using Large Samples
5.6 Approximation of Binomial Probabilities by the Normal Distribution
Chapter 6. Estimation of Parameters
6.1 Introduction and Definitions
6.2 Estimation of Location in Small Samples
6.3 Estimating ợ^2, the Population Variance
6.4 Estimation of ợ in a Normal Population
6.5 Estimation of a Population Proportion p
Chapter 7. Hypothesis Testing
7.1 Introduction
7.2 Tests of a Population Proportion p for large n
7.3 Tests Concerning u in Large Samples
7.5 Distribution-free Tests of Location
7.6 Tests Concerning ợ^2 and ợ in Normal Populations
Chapter 8. Two-Sample Tests
8.1 Introduction
8.2 Differences of Population Expectations in the Large Sample Case
8.3 Differences of Population Expectations in the Normal Case
8.4 The Wilcoxon Rank Sum Test
8.5 Inference for Matched Pairs
8.6 Comparison of Two Population Proportions
Chapter 9. Analysis of Classification Data
9.1 Introduction
9.2 The Multinomial Distribution and Its Relation to the Chi-Square Distribution
9.3 Analysis of Contingency Tables
9.4 Goodness of Fit
Chapter 10. Simple Linear Regression and Association
10.1 Introduction (The Least Squares Line)
10.2 Inference in the Linear Regression Model
10.3 Prediction Using the Regression Model
10.4 Association and Correlation
Chapter 11. The Analysis of Variance
11.1 Introduction
11.2 Single-Factor Analysis of Variance
11.3 The Randomized Block Design
Appendix A: The Basic Language
A.1 An Introduction to BASIC
A.2 Elementary Statements and Operations in BASIC
A.3 Additional Information about BASIC
Appendix B: TABLES
SELECTED BIBLIOGRAPHY AND REFERENCES
SUBJECT INDEX
Biography
Richard A. Groeneveld (Author)