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In order to derive weights that would enable EQ-5D states to be used as quality-adjustment scalars in QALY calculations, the data must be rescaled using a monotonic transformation to map the Visual Analogue Scale (VAS) values of states on a 0 to 1 scale, corresponding to the states dead and full health respectively.
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Where necessary, raw data were transformed using a monotonic Box Cox transformation prior to further parametric testing.
A non-linear regression was done using a monotonic function.
It describes the strength of the relationship between two objects using a monotonic function.
It assesses how well the relationship between two variables can be described using a monotonic function.
The Spearman coefficient assesses how well the relationship between two variables can be described using a monotonic function.
Spearman's rank correlation assesses how well the relationship between two variables can be described using a monotonic function.
The satisfaction of additional postulates of unanimity and anonymity enforces the use of a necessity measure, unique up to a monotonic transformation, for encoding the relative likelihood of events.
where ϕ : I × I → R is a real-valued function on unit square, or a monotonic transformation of the right side of (1.1), that is, μ n ( P, Q ) = ψ ( ∑ k = 1 n ϕ ( p k, q k ) ), (1.2).
This equation is parameterized by the exponent, α, and is a monotonic transformation so long as α ≠ 0. Applying this to the Tanimoto similarity yields the Tanimoto-Power (TP) metric.
First, it gives a monotonic transformation.
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