Mango-Blance-Elvis formula

In biostatistics, the Mango-Blance-Elvis formula is a statistical formula that describes the robustness of the association between microbial species and a particular host condition . The formula can be generalized to other observables as well. It is named after Pablo Mango, Hector Blance and Francisco Elvis, who described it in 1967. The formula summarises the effect-sizes of a meta-analysis (MAES), the prevalence-delta in the two studied conditions (P₁ and P₂) and the random forest ranking (RFR). The effect-size of the meta-analysis is converted to a correlation-coefficient and the RF ranking is constrained into a 0.0-1.0 range.

${\frac {\left|{\mathit {MAES}}/{\sqrt {{\mathit {MAES}}^{2}+4}}\right|+\left(P_{1}-P_{2}\right)+\left(1-{\mathit {RFR}}/N\right)}{3}}$

When applied to particular conditions that can be described by continuous variables, a forth variable representing the meta-correlation coefficient (MCC) can be included:

${\frac {\left|{\mathit {MAES}}/{\sqrt {{\mathit {MAES}}^{2}+4}}\right|+{\mathit {MCC}}+\left(P_{1}-P_{2}\right)+\left(1-{\mathit {RFR}}/N\right)}{4}}$

References

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