Statistics and Probability With Applications for Engineers and Scientists

by Gupta, Bhisham C.; Guttman, Irwin

• ISBN13: 9781118464045
• ISBN10: 1118464044
• Format: Hardcover
• Copyright: 2013-05-06
• Publisher: Wiley

Summary

This introductory text covers applied statistics and probability for undergraduate students in engineering and the natural sciences. The book begins at a level that is suitable for those with no previous exposure to probability and statistics and carries readers through to a level of proficiency in various techniques of statistics. Both descriptive and inferential statistics are emphasized, and the authors uniquely discuss descriptive statistics first and then continue with an elementary discussion of the fundamentals of probability theory underlying many of the presented statistical techniques. A wide range of statistical techniques are addressed, including statistical estimation, regression methods, statistical quality control (with emphasis on phase I and phase II control charts), process capability indices, non-parametric methods, and elements of reliability theory. Design of experiments is also addressed and includes discussion on randomized block designs, one- and two-way designs, latin square designs, response surface designs, and 2k factorial designs. All statistical concepts are supported by a large number of examples using data encountered in real-world situations. In addition, the authors illustrate how the statistical packages Minitab (R) and Microsoft Office Excel(R) can be used to aid in the analysis of various data sets.

Author Biography

BHISHAM C. GUPTA, PhD, is Professor in the Department of Mathematics and Statistics at the University of Southern Maine. Dr. Gupta has written four books and more than thirty articles.

IRWIN GUTTMAN, PhD, is Professor Emeritus of Statistics in the Department of Mathematics at the State University of New York at Buffalo and Department of Statistics at the University of Toronto, Canada. Dr. Guttman has written five books and over 140 articles.

Table of Contents

Part I

Chapter 1. Introduction

Chapter 2. Describing Data Graphically and Numerically

Chapter 3. Elements of Probability

Chapter 4. Discrete Random Variables and Some Important Discrete Probability Distributions

Chapter 5. Continuous Random Variables and Some Important Continuous Probability Distributions

Chapter 6. Distribution Functions of Random Variables

Chapter 7. Sampling Distributions

Chapter 8. Estimation of Population Parameters

Chapter 9. Hypothesis Testing

Part II

Chapter 10. Elements of Reliability Theory

Chapter 11. Statistical Quality Control – Phase I Control Charts

Chapter 12. Statistical Quality Control – Phase II Control Charts   

Chapter 13. Analysis of Categorical Data

Chapter 14. Nonparametric Tests

Chapter 15. Simple Linear Regression Analysis

Chapter 16. Multiple Linear Regression Analysis

Chapter 17. Analysis of Variance

Chapter 18. The 2^k Factorial Designs

Chapter 19. Response Surfaces

Appendices

Appendix A: Statistical Tables and Charts

Appendix B: Answers to Selected Problems

Appendix C: Bibliography

Index