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Scores for continuous variables were quartiled and treated as categorical variables for the purpose of regression modelling.
For the purpose of regression analysis, birth weight was divided into four categories (≤2, >2 to ≤2.5, >2.5 to ≤3.0 and >3 kg).
Rare alleles were grouped into a single allele category and, because this represented the largest category, it was assumed to be the baseline allele category for the purpose of regression modeling.
Health literacy was assessed through five questions adapted from Ishikawa et al. [ 19], but for the purpose of regression analyses only two items that met p < 0.20, were selected; "feel able to collect oral health related information" and "feel able to judge oral health information" with their answers dichotomized into agree and do not agree.
For the purpose of regression analysis of the relationships between Z and expression and polymorphism data, the values of Z were log-transformed for the sake of normality; this necessitates removal of datapoints with of Z = 0, i.e., pairs of paralogs with exactly equal number of substitutions in each.
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For purposes of regression analysis a dummy variable was included to differentiate between high environmental impact and low environmental impact industries.
Both outcome variables required square root transformation to maintain a constant variance for the purposes of regression.
For the purposes of regression analysis, patients classified as PR or SD were pooled in order to limit the number of parameters estimated.
The primary purpose of robust regression analysis is to fit a model that represents the information that is in the majority of the data.
The purpose of OLS regression on level II is to explain the remaining residuals from level I by series related variables.
The purpose of robust regression is to (1) isolate the matte and specular/shadow components and allow the latter to be more cleanly modelled with an additional RBF interpolation stage and (2) identify the non-matte outliers so that more accurate surface normals as well as other reflectance properties can be obtained with LS.
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