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2016 ; 11
(5
): e0155718
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The Power of Heterogeneity: Parameter Relationships from Distributions
#MMPMID27182701
Röding M
; Bradley SJ
; Williamson NH
; Dewi MR
; Nann T
; Nydén M
PLoS One
2016[]; 11
(5
): e0155718
PMID27182701
show ga
Complex scientific data is becoming the norm, many disciplines are growing
immensely data-rich, and higher-dimensional measurements are performed to resolve
complex relationships between parameters. Inherently multi-dimensional
measurements can directly provide information on both the distributions of
individual parameters and the relationships between them, such as in nuclear
magnetic resonance and optical spectroscopy. However, when data originates from
different measurements and comes in different forms, resolving parameter
relationships is a matter of data analysis rather than experiment. We present a
method for resolving relationships between parameters that are distributed
individually and also correlated. In two case studies, we model the relationships
between diameter and luminescence properties of quantum dots and the relationship
between molecular weight and diffusion coefficient for polymers. Although it is
expected that resolving complicated correlated relationships require inherently
multi-dimensional measurements, our method constitutes a useful contribution to
the modelling of quantitative relationships between correlated parameters and
measurements. We emphasise the general applicability of the method in fields
where heterogeneity and complex distributions of parameters are obstacles to
scientific insight.