Statistics for Engineers: An Introduction with Examples from Practice

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