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308 (Special Topics (Piecewise Linear Regression, Inverse Prediction,…
308
Special Topics
Piecewise Linear Regression
Inverse Prediction
Weighted Least Squares
Logistic Regression
Ridge Regression
Robust Regression
Nonparametric Regression Models
Regression Pitfalls
Observational Data V.S Designed Experiments
Deviating from The Assumptions
What are the issues?
Correlated errors
biased estimates
heteroskedastic errors
non-normality
What are the assumptions
Parameter Estimability and Interpretation
Multi-Collinearity
Extrapolation
Variable Transformations
Principles of Model Building
Why bother?
Types of Independent Variable(IV)
Quantitative
Qualitative
Models
1st Order
1 Quantitative IV
' >=2 Quantitative IV
2nd Order
'>2= Quantitative IV
Qualitative
2 IV
1 IV
'>= 3 IV
Both
Quantitative IV
Qualitative IV
Variable Screening Methods
Stepwise Regression
All-Possible-Regressions Selection Procedure
Caveats
Residual Analysis
Detecting
Lack of Fit
Unequal Variances
Checking Normality Assumptions
Outliers and Identifying Influential Observations
Residual Correlation: Durbin Watson Test