Matlab scripts for Model I and Model II regressions
A basic introduction to Model I and Model II linear regressions:
- what they are,
- how they are different,
- why they are different,
- and when to use them.
A brief history of Model II regressions.
- Who led the intellectual development of these regression techniques.
- Plus, a list of their seminal papers.
An index of downloadable files for use with MATLAB®.
- Model I regressions: normal (Y-on-X), reversed (X-on-Y) and weighted (wY-on-X).
- Model II regressions: major axis, geometric mean and least-squares-cubic.
- Summary of modifications made to these files.
Some rules of thumb to help decide which model regression to use:
- When to use Model I vs Model II.
- Within each type, which of the various models to use.
Testing Model I and Model II regressions:
- Evaluate the Model I linear regressions using data from Bevington and Robinson (2003)
- Compare both linear regression models.
- How to know which regression you are using.
For further reading regarding Model I and II regressions, see:
- Ricker (1973). Linear regressions in Fishery Research. J. Fish. Res. Board Can. 30: 409-434.
- Laws and Archie (1981). Appropriate use of regression analysis in marine biology. Marine Biology 65: 13-16.
- Bevington & Robinson (1992). Data Reduction and Error Analysis for the Physical Sciences, Second Edition, McGraw-Hill, Inc., New York.
- Sokal and Rohlf (1995). Biometry, 3rd edition. W.H. Freeman and Company, San Francisco, CA.
- Laws (1997). Mathematical Methods for Oceanographers. John Wiley and Sons, Inc., New York, NY.
- Bevington & Robinson (2003). Data Reduction and Error Analysis for the Physical Sciences, Third Edition, McGraw-Hill, Inc., New York.