1 Introduction -- 2 Concepts -- 3 Probability Calculation -- 3.1 Definition of Probability -- 3.2 Addition Formula (OR Formula) -- 3.3 Multiplication Formula (AND Formula) -- 4 Probability Distributions of Quantitative Characteristics -- 4.1 General -- 4.2 Normal Distribution -- 4.3 Abnormal Probability Distributions -- 4.4 Random Spread for Mean Values -- 5 Mathematical and Graphical Evaluation of Dimensional Series -- 5.1 General -- 5.2 Mathematical Evaluation Without Classification -- 5.3 Graphical Evaluation Without Classification -- 5.4 Mathematical Evaluation of Classified Dimensional Series -- 5.5 Graphical Evaluation of Classified Dimensional Series -- 5.6 Other Statistical Characteristics -- 5.7 The Significance of Statistical Characteristics -- 6 Mixed Distributions -- 6.1 Types of Mixed Distribution -- 6.2 Mixed Distribution Type 1 -- 6.3 Mixed Distribution Type 2 -- 6.4 Tschebyscheff's Extreme Case -- 7 Distribution Folds -- 7.1 Description of Fold Methods -- 7.2 Examples of Folding Methods -- 8 Relationship Between Tolerances and Production Distributions -- 8.1 Direct and Indirect Function Characteristics -- 8.2 Establishment and Observance Tolerances -- 8.3 Tolerances and Costs -- 8.4 Errors and Waste -- 8.5 Arithmetical Tolerance Calculation -- 8.6 Examples for Arithmetically Calculated Linear Dimensional Chains -- 8.7 The Sorting of Non-Conforming Parts -- 9 Tolerance Calculation Using Square Law -- 10 Statistical Calculation of Tolerances of Individual Values with Rectangular Distributions -- 10.1 General -- 10.2 Derivation of Reduction and Expansion Factors with Equal Individual Tolerances -- 10.3 Calculation of Dimensional Chains with Unequal Individual Tolerances and Rectangular Individual Distributions -- 10.4 Advantages of the Assumption of the Presence of Rectangular Distributions -- 11 Statistical Tolerance Calculation of Individual Values with Trapezoid Distribution or with Triangular Distribution -- 11.1 Method of Calculation -- 11.2 Simple Formula to Check Fixed Linear Dimensional Chains -- 12 The Tolerance Model -- 13 Assessment of Completed Batches and Production Batches -- 13.1 General -- 13.2 Random Sample Dimension Tests -- 13.3 Selection of AQL Values for Random Sample Tests of Dimensions (Variable Testing) -- 13.4 Quality Control Charts for Dimensions -- 14 Process Analysis and Process Capability -- 14.1 Process Analysis -- 14.2 Process Capability -- 15 Process Control -- 15.1 General Aspects -- 15.2 Process Control by Mean Value Quality Control Charts -- 15.3 Process Control by Original Value QCC's -- 15.4 Process Correction -- 16 Bibliography -- 17 Appendix -- Tables.