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When are additive models valid for evaluating proposed research?

D S Bunch, D Cardús, M J Fuhrer

    Methods of Information in Medicine
    |July 1, 1989
    PubMed
    Summary
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    Additive and multiplicative models for project selection were compared. Additive models, though common, are theoretically flawed compared to multiplicative ones, but conditions for their acceptable use were investigated.

    Area of Science:

    • Decision Science
    • Mathematical Modeling
    • Operations Research

    Background:

    • Project selection relies on mathematical models.
    • Additive models are widely used but theoretically inferior to multiplicative models.
    • Understanding when additive models are acceptable is crucial.

    Purpose of the Study:

    • Compare additive and multiplicative mathematical models for project selection.
    • Investigate conditions where additive models yield results equivalent to multiplicative models.
    • Address the theoretical inferiority of additive models.

    Main Methods:

    • Comparative analysis of additive and multiplicative mathematical models.
    • Theoretical evaluation of model properties.
    • Investigation of model equivalence under specific conditions.

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    Main Results:

    • Additive models are theoretically inferior to multiplicative models for project selection.
    • Identified conditions under which additive models produce equivalent results to multiplicative models.
    • Demonstrated the logical flaws in additive models.

    Conclusions:

    • Additive models can be acceptable for project selection under specific, identified conditions.
    • Multiplicative models offer theoretical advantages.
    • Further research can refine the application of additive models in project selection.