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The total scattering could not be fitted using the structure factor for an assembly of hard spheres; a structure factor originally developed for coulombically stabilised micelles was used and excellent fits to the data obtained.
Such variation can be fitted using the typical varshni law: E(T) = E 0 - αT 2/(T + β), where E 0 is the peak energy at low temperature (15 K in our case), α and β are the fitting parameters of InAs bulk.
Similar to LR, KLR can be fitted using the maximum likelihood estimate (MLE).
The multinomial regression model can be fitted using the mlogit function in R [ R Development Core Team, 2009].
The fact that both the band shift and band broadening data can be fitted using the same value of ns gives confidence in the validity of the model.
The hierarchical model specified by (1), (2) and (3) can be fitted using the generalized linear mixed model procedures in several standard statistical packages.
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GEE regression models will be fit using the SAS PROC GENMOD.
Data points were fitted using the Boltzmann function.
Diffraction results were fitted using the MAUD software version 2.43 [28].
These models have been fitted using the same measurements used for the ray tracing.
If possible the models were fitted using the library mgcv only.
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