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The product of factors can be transformed using a transformation function f.
Specifically, data from the SRI-25 External Protective subscale were transformed using an inverse transformation; data from the RFL Fear of Suicide subscale were transformed using a logarithm transformation; and data from the Perceived Social Support from Friends Scale were reflected in addition to being transformed using a square root transformation.
TG levels were transformed using a logarithmic transformation (see Supplementary Material for a power transformation approach).
Therefore, these were transformed using a log transformation (log10) to run parametric tests on data.
Latency to reach the food data were right skewed and were transformed using a reciprocal transformation.
The raw data were transformed using a logistic transformation (transformed utility=log ((1-utility)/utility)).
To compare continuous variables we used t tests, with skewed data being transformed using a logarithmic transformation before analysis.
As sensitivity analyses, QALYs will be estimated using the SF-6D and individual utilities obtained using the e-TTO and visual analogue scale (transformed using a power transformation).
Non-normal distributions were transformed using a log transformation, and if the distribution was persistently non-normal, a Mann-Whitney test was used to compare groups.
Brain glucose was transformed using a square root transformation (bGlu_sqrt) whereas a Log transformation was applied to the lactate/pyruvate ratio (LPR_log).
Non-normal data or data with significant heterogeneity in variance transformed using a cube-root transformation (bill size) or an arcsine transformation (percent chestnut in eye-line), or compared with Mann-Whitney U test (crown class).
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