Introduction to Probability, Statistical Methods, Design of Experiments and Statistical Quality Control / by Dharmaraja Selvamuthu, Dipayan Das.

Format:

Book

Author/Creator:

Selvamuthu, Dharmaraja, author.

Das, Dipayan, author.

Series:

University Texts in the Mathematical Sciences, 2731-9326

Language:

English

Subjects (All):

Statistics.

Probabilities.

Experimental design.

Statistical Theory and Methods.

Probability Theory.

Design of Experiments.

Local Subjects:

Statistical Theory and Methods.

Probability Theory.

Design of Experiments.

Physical Description:

1 online resource (623 pages)

Edition:

2nd ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

This revised book provides an accessible presentation of concepts from probability theory, statistical methods, the design of experiments, and statistical quality control. It is shaped by the experience of the two teachers teaching statistical methods and concepts to engineering students. Practical examples and end-of-chapter exercises are the highlights of the text, as they are purposely selected from different fields. Statistical principles discussed in the book have a great relevance in several disciplines like economics, commerce, engineering, medicine, health care, agriculture, biochemistry, and textiles to mention a few. Organised into 16 chapters, the revised book discusses four major topics—probability theory, statistical methods, the design of experiments, and statistical quality control. A large number of students with varied disciplinary backgrounds need a course in basics of statistics, the design of experiments and statistical quality control at an introductory level to pursue their discipline of interest. No previous knowledge of probability or statistics is assumed, but an understanding of calculus is a prerequisite. The whole book also serves as a master level introductory course in all the three topics, as required in textile engineering or industrial engineering.

Contents:

Chapter 1. Introduction

Chapter 2. Basic Concepts of Probability

Chapter 3. Random Variable and Distribution Function

Chapter 4. Standard Deviation

Chapter 5. Multiple Random Variable and Joint Distribution

Chapter 6. Limiting Distributions

Chapter 7. Descriptive Statistics

Chapter 8. Sampling Distributions

Chapter 9. Estimation

Chapter 10. Testing of Hypothesis

Chapter 11. Analysis of Correlation and Regression

Chapter 12. Single Factor Experimental Design

Chapter 13. Multi-Factor Experimental Designs

Chapter 14. Response Surface Methodology

Chapter 15. Acceptance Sampling

Chapter 16. Control Charts. Appendix A. Statistical Tables

Appendix B. Introduction to the R Software Program. .

ISBN:

9789819993635

9819993636