4. Process Modeling

4.6.	Case Studies in Process Modeling

Detailed, Realistic Examples

The general points of the first five sections are illustrated in this section using data from physical science and engineering applications. Each example is presented step-by-step in the text and is often cross-linked with the relevant sections of the chapter describing the analysis in general. Each analysis can also be repeated using a worksheet linked to the appropriate Dataplot macros. The worksheet is also linked to the step-by-step analysis presented in the text for easy reference.

Contents: Section 6

1. Load Cell Calibration
   1. Background & Data
   2. Selection of Initial Model
   3. Model Fitting - Initial Model
   4. Graphical Residual Analysis - Initial Model
   5. Interpretation of Numerical Output - Initial Model
   6. Model Refinement
   7. Model Fitting - Model #2
   8. Graphical Residual Analysis - Model #2
   9. Interpretation of Numerical Output - Model #2
   10. Use of the Model for Calibration
   11. Work this Example Yourself
2. Alaska Pipeline Ultrasonic Calibration
   1. Background and Data
   2. Check for Batch Effect
   3. Initial Linear Fit
   4. Transformations to Improve Fit and Equalize Variances
   5. Weighting to Improve Fit
   6. Compare the Fits
   7. Work This Example Yourself
3. Ultrasonic Reference Block Study
   1. Background and Data
   2. Initial Non-Linear Fit
   3. Transformations to Improve Fit
   4. Weighting to Improve Fit
   5. Compare the Fits
   6. Work This Example Yourself
4. Thermal Expansion of Copper Case Study
   1. Background and Data
   2. Exact Rational Models
   3. Initial Plot of Data
   4. Fit Quadratic/Quadratic Model
   5. Fit Cubic/Cubic Model
   6. Work This Example Yourself