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Nonlinear Regression Modeling for Engineering Applications: Modeling, Model Validation, and Enabling Design of Experiments

By
R. Russell Rhinehart
R. Russell Rhinehart
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ISBN:
9781118597965
No. of Pages:
400
Publisher:
ASME-Wiley
Publication date:
2016

You may encounter any number of diverse issues in nonlinear regression that may be related to either regression (optimization), modeling, or experiments. This chapter summarizes many and provides advice to solve them.

20.1
Introduction
20.2
Bimodal and Multimodal Residuals
20.3
Trends in the Residuals
20.4
Parameter Correlation
20.5
Convergence Criterion – Too Tight, Too Loose
20.6
Overfitting (Memorization)
20.7
Solution Procedure Encounters Execution Errors
20.8
Not a Sharp CDF (OF)
20.9
Outliers
20.10
Average Residual Not Zero
20.11
Irrelevant Model Coefficients
20.12
Data Work-Up after the Trials
20.13
Too Many rs!
20.14
Propagation of Uncertainty Does Not Match Residuals
20.15
Multiple Optima
20.16
Very Slow Progress
20.17
All Residuals are Zero
20.18
Takeaway
Exercises
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