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Original Article| Volume 68, ISSUE 11, P1251-1260, November 2015

Using a matrix-analytical approach to synthesizing evidence solved incompatibility problem in the hierarchy of evidence

  • Harald Walach
    Correspondence
    Corresponding author. Institute for Transcultural Health Studies, European University Viadrina Frankfurt (Oder), Grosse Scharrnstrasse 59, 15230 Frankfurt (Oder), Germany. Tel.: +49-335-5534-2380; fax: +49-335-5534-2748.
    Affiliations
    Institute of Transcultural Health Studies, European University Viadrina, Frankfurt (Oder), Germany
    Search for articles by this author
  • Martin Loef
    Affiliations
    Institute of Transcultural Health Studies, European University Viadrina, Frankfurt (Oder), Germany
    Search for articles by this author

      Abstract

      Objectives

      The hierarchy of evidence presupposes linearity and additivity of effects, as well as commutativity of knowledge structures. It thereby implicitly assumes a classical theoretical model.

      Study Design and Setting

      This is an argumentative article that uses theoretical analysis based on pertinent literature and known facts to examine the standard view of methodology.

      Results

      We show that the assumptions of the hierarchical model are wrong. The knowledge structures gained by various types of studies are not sequentially indifferent, that is, do not commute. External validity and internal validity are at least partially incompatible concepts. Therefore, one needs a different theoretical structure, typical of quantum-type theories, to model this situation. The consequence of this situation is that the implicit assumptions of the hierarchical model are wrong, if generalized to the concept of evidence in total.

      Conclusion

      The problem can be solved by using a matrix-analytical approach to synthesizing evidence. Here, research methods that produce different types of evidence that complement each other are synthesized to yield the full knowledge. We show by an example how this might work. We conclude that the hierarchical model should be complemented by a broader reasoning in methodology.

      Key Words

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      Linked Article

      • The hierarchy of evidence and quantum theory
        Journal of Clinical EpidemiologyVol. 72
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          Medicine is complex, and evidence regarding the effects of interventions is subject to multiple sources of bias. The dominant view is that the “best available evidence” for the effects of interventions comes from randomized trials or systematic reviews of randomized trials. For instance, evidence-based medicine provides a hierarchy of evidence for assessing the benefits of treatments, which places well-conducted randomized trials and systematic reviews of randomized trials above other sources of evidence including observational studies.
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          Figure 1 used by Wallach and Loef [1] suggests that the worse the methodological quality of a clinical study the better a therapeutic effect found in a study could be transferred to future patients (external validity).
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      • There is no reverse hierarchy (letter commenting: J Clin Epidemiol. 2015;68(11):1251--1260.)
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          I am neither an expert in non-Abelian algebra nor in quantum theory, so I do not feel competent to judge the corresponding arguments of the authors [1]. The basis of these arguments, however, is obviously wrong. There is no reverse hierarchy of internal and external validity, as is suggested in Figure 1 and explicitly stated in the text: “The more internal validity is emphasized in a study, the lower external validity tends to become.”
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