Six Sigma and Beyond: Statistics and Probability (the third of a seven volume set) introduces the relationship of statistics, probability, and reliability as they apply to quality in general and to six sigma in particular. The book introduces many useful statistical tools, appropriate formulae for these specific tools, and the connection of statistics to probability, describing how to integrate this knowledge into your quality strategy. The focus is on practical applications of these principles, rather than extensive theoretical discussion.

From the Preface: “...This work will attempt to focus on six sigma and beyond for both manufacturing and transactional organizations. Specifically, we will discuss the foundations of quality, and progressively, we will move into what is called the six sigma methodology from a design perspective. We will discuss some of the tools used in the methodology and close this series with an implementation scheme that, if followed, will help any organization improve both their processes and financial status...In this volume, we address the essential topics of statistics and probability as they are used in the field of quality. We address topics for both measurable and attribute characteristics. In addition we make the connection between statistics, probability, and reliability...”

Target Audience: Academics and practitioners who desire to understand quality systems and the six sigma concept, including especially those individuals charged with implementation of six sigma methodology. Also a valuable overview of probability and statistics in general.

Table of Contents:

Essential Concepts of Statistics:

Introduction

Designing and Using Forms for Studies

Counting Frequencies

Summarizing Data

Working with the Normal Distribution

Testing Hypotheses about Two Independent Means

Testing Hypotheses about Two Dependent Means

Comparing Several Means

Measuring Association

Calculating Regression Lines

Common Miscellaneous Statistical Tests

Advanced Topics in Statistics

Time Series and Forecasting

Essential Concepts of Probability:

Functions of Real and Random Variables

Set Theory

Permutations and Combinations

Discrete and Continuous Random Variables

Appendices

Note: Six Sigma and Beyond is a seven volume set. The other books in this series are: Vol. 1 (Foundations of Execellent Performance), Vol. 2 (Problem Solving and Basic Mathematics), Vol. 4 (Statistical Process Control), Vol. 5 (Design of Experiments), Vol. 6 (Design for Six Sigma), and Vol. 7 (The Implementation Process).