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The probability laws of the solutions of such SPDEs are given by Girsanov probability measures, that are non-linearly transformed measures of the probability law of Nelson's free field defined on subspaces of Schwartz space of tempered distributions.
Log10 transformed measures were normalized to the log10 of the width of the midbrain at which the measurement was taken (log OT/log MB).
To further investigate the observed deviation (see Results) between observed and theoretically predicted maximum life span (assuming a constant ratio to mean life span) we analysed the difference between these (log transformed) measures as a function of their mean [27].
We considered using an integrated measure of color, like those obtained using principal components analysis [18], but because we examined changes in plasma carotenoids as a function of changes in color we needed to use absolute, as opposed to relative (transformed), measures of color.
Log transformed measures of near stereoacuity were available for 150/166 (90%) at both enrolment and outcome (Table 4).
In addition, a general battery measure was produced using the first un-rotated factor from exploratory factor analysis of all seven transformed measures at each time point separately.
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A Kolmogorov – Smirnov test of normality indicated that the transformed measure was acceptably normally distributed.
Figure 3 shows the number of beam breaks, square root transformed, measured following saline and nicotine treatment.
Figure 2 shows the number of beam breaks, square root transformed, measured during each of the seven habituation sessions carried out.
A simple regression model showed a better fit between the loge transformed measured and model-generated PCE concentrations using the automated method (R2 = 0.40, p < 0.0001) compared to manual method (R2 = 0.30, p < 0.0001).
The original (raw) data in X. laevis GeneChip® CEL files acquired from three replicate arrays were preprocessed [ 80] using GeneChip robust multichip analysis (GCRMA, [ 63, 81]) methods to produce a single log2 transformed measure for the intensity level of every Xl-PSID on each replicate array.
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