Linear model: Difference between revisions

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Revision as of 07:52, 30 June 2001

Linear Models are mathematical models based on extensions to the stimulus-response model to deal with more than one stimulus and preserving the linearity of the relationship.

Response = a₀ + a₁*Stimulus₁ + a₂*Stimulus₂ + ... + a_m*Stimulus_m.

Linear regression analysis has been extended to accomodate such models and is commonly known as multiple regression.

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-'''Linear Models''' are mathematical models based on extensions to the [[Stimulus Response Model]] to deal with more than one stimulus and preserving the linearity of the relationship.
+'''Linear Models''' are mathematical models based on extensions to the [[stimulus-response model]] to deal with more than one stimulus and preserving the linearity of the relationship.
 *<font size=+1 color=red>Response = a<sub>0</sub> + a<sub>1</sub>*Stimulus<sub>1</sub> + a<sub>2</sub>*Stimulus<sub>2</sub> + ... + a<sub>m</sub>*Stimulus<sub>m</sub></font>.
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-[[Linear Regression]] analysis has been extended to accomodate such models and is commonly known as [[Multiple Regression]].
+[[Linear regression]] analysis has been extended to accomodate such models and is commonly known as [[multiple regression]].