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Statistics
Design of Experiments
1. Introduction to Design of Experiments
2. Fundamental Principles of Experimental Design
3. Planning and Conducting Experiments
4. Simple Comparative Experiments
5. Analysis of Variance (ANOVA)
6. Factorial Designs
7. Fractional Factorial Designs
8. Response Surface Methodology
9. Robust Design and Taguchi Methods
10. Advanced and Specialized Designs
11. Statistical Analysis and Model Building
12. Software Tools and Implementation
13. Quality Control and Best Practices
14. Applications and Case Studies
Fractional Factorial Designs
Motivation for Fractional Designs
Sparsity of Effects Principle
Economic Considerations
Screening Applications
Half-Fraction Designs
2^(k-1) Design Construction
Defining Relations
Alias Structure
Resolution Concepts
Generator Selection
Smaller Fractions
2^(k-p) Design Construction
Multiple Generators
Complete Defining Relation
Resolution Determination
Resolution III Designs
Resolution IV Designs
Resolution V Designs
Minimum Aberration Designs
Analysis of Fractional Factorials
Effect Estimation
Alias Interpretation
Model Selection
Significance Testing
Sequential Experimentation
Fold-over Designs
Augmentation Strategies
Resolution Enhancement
Follow-up Experiments
Plackett-Burman Designs
Construction Methods
Properties and Applications
Analysis Procedures
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6. Factorial Designs
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8. Response Surface Methodology