Statistics for Engineers: An Introduction with Examples from Practice

✍ Scribed by Hartmut Schiefer, Felix Schiefer

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 139
• Edition: 1
• Category: Library

✦ Synopsis

This book describes how statistical methods can be effectively applied in the work of an engineer in terms that can be readily understood. Application of these methods enables the effort involved in experiments to be reduced, the results of these experiments to be fully evaluated, and statistically sound statements to be made as a result. Products can be developed more efficiently and manufactured more cost-effectively, not to mention with greater process reliability. The overarching aim is to save time, money, and materials. From the examples provided, the nature of the practical application can be clearly grasped in each case.

This book is a translation of the original German 1^st edition Statistik für Ingenieure by Hartmut Schiefer and Felix Schiefer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). The present version has been revised technically and linguistically by the authors in collaboration with a professional translator. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

✦ Table of Contents

Foreword
Contents
List of Abbreviations
Chapter 1: Statistical Design of Experiments (DoE)
1.1 Designing Experiments
1.1.1 Basic Concepts
1.1.2 Basic Principles of Experiment Design
1.1.3 Conducting Experiments
1.2 Experiment Designs
1.2.1 Full Factorial Experiment Designs
1.2.2 Latin Squares
1.2.3 Fractional Factorial Experiment Designs
1.2.4 Factorial Experiment Designs with a Center Point
1.2.5 Central Composite Experiment Designs
Literature
Chapter 2: Characterizing the Sample and Population
2.1 Mean Values
2.1.1 Arithmetic Mean (Average)
2.1.2 Geometric Mean
2.1.3 Median Value xz
2.1.4 Modal Value xD (Mode)
2.1.5 Harmonic Mean (Reciprocal Mean Value) H
2.1.6 Relations Between Mean Values
2.1.7 Robust Arithmetic Mean Values
2.1.8 Mean Values from Multiple Samples
2.2 Measures of Dispersion
2.2.1 Range R
2.2.2 Variance s2, σ2 (Dispersion); Standard Deviation (Dispersion of Random Sample) s, σ
2.2.3 Coefficient of Variation (Coefficient of Variability) v
2.2.4 Skewness and Excess
2.2.4.1 Skewness
2.2.4.2 Excess, Curvature, and Kurtosis
2.3 Dispersion Range and Confidence Interval
2.3.1 Dispersion Range
2.3.2 Confidence Interval (Confidence Range)
Literature
Chapter 3: Statistical Measurement Data and Production
3.1 Statistical Data in Production
3.2 Machine Capability; Investigating Machine Capability
3.3 Process Capability; Process Capability Analysis
3.4 Operating Characteristic Curve; Average Outgoing Quality
Literature
Chapter 4: Error Analysis (Error Calculation)
4.1 Errors in Measured Values
4.1.1 Systematic Errors
4.1.2 Random Errors
4.2 Errors in the Measurement Result
4.2.1 Errors in the Measurement Result Due to Systematic Errors
Examples
4.2.2 Errors in the Measurement Result Due to Random Errors
4.2.3 Error Limits
4.2.3.1 Error Characteristic, Error Limits [1, 2]
4.2.3.2 Result Error Limits
4.2.3.3 Errors and Error Limits of Electrodes
Literature
Chapter 5: Statistical Tests
5.1 Parameter-Bound Statistical Tests
5.2 Hypotheses for Statistical Tests
5.3 t-Test
5.4 F-Test
5.5 The Chi-Squared Test (χ2-Test)
5.5.1 Conditions for the Chi-Squared Test
5.5.2 Chi-Squared Fit/Distribution Test
5.5.3 Chi-Squared Independence Test
Literature
Chapter 6: Correlation
6.1 Covariance, Empirical Covariance
6.2 Correlation (Sample Correlation), Empirical Correlation Coefficient
6.3 Partial Correlation Coefficient, Partial Correlation
Literature
Chapter 7: Regression
7.1 Cause-Effect Relationship
7.2 Linear Regression
7.3 Nonlinear Regression (Linearization)
7.4 Multiple Linear and Nonlinear Regression
7.5 Examples of Regression
Literature
Appendix
A.1. Tables of standard normal distributions
A.2. Tables on the t-Distribution
A.3. Tables on the F-Distribution
A.4. Chi-Squared Distribution Table
Further Literature
Books
Standards
Index