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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
Response Surface Methodology
RSM Concepts and Objectives
Response Surface Visualization
Optimization Goals
Sequential Nature of RSM
Design Regions
First-Order Response Surface Designs
Linear Models
First-Order Designs
2^k Designs
Simplex Designs
Method of Steepest Ascent
Path Determination
Step Size Selection
Stopping Criteria
Analysis of First-Order Models
Second-Order Response Surface Designs
Quadratic Models
Central Composite Designs
Circumscribed CCD
Inscribed CCD
Face-Centered CCD
Alpha Values
Box-Behnken Designs
Uniform Shell Designs
Design Properties
Rotatability
Orthogonality
Efficiency Measures
Analysis of Second-Order Models
Model Fitting
Lack-of-Fit Testing
Model Adequacy Assessment
Canonical Analysis
Stationary Point Location
Nature of Stationary Point
Principal Component Analysis
Ridge Analysis
Contour Plot Interpretation
Optimization Strategies
Multiple Response Optimization
Desirability Functions
Pareto Optimal Solutions
Compromise Solutions
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7. Fractional Factorial Designs
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9. Robust Design and Taguchi Methods