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 Next:Recursive Construction of Models Up: Model Generation Previous:Identification of Relevant Factors
 

Black Box Model Construction

Once a set of factors is selected, it is possible establish a linear or nonlinear model that connects the factors to the phenomenon under observation. We assume a total of n observations of the particular disease state tex2html_wrap_inline759 . For the tex2html_wrap_inline761 observation tex2html_wrap_inline763 , the corresponding observations of the influencing factors are tex2html_wrap_inline765 . A linear regression model would be expressed as,

equation169 

where tex2html_wrap_inline767 , tex2html_wrap_inline769 is the model coefficient vector, and

equation175 

The coefficients that minimize the mean square error between the predicted Y and the collected samples are found by computing,

equation185 

The above linear regression models can be extended to include nonlinear terms.

A drawback of this approach is the difficulty of associating reasoning, logic, and causality with a single large model. Consequently, we propose the following mechanism for constructing environmental models. 

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