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Among those with hired practice, the support for their current contract dropped from 69%to57%7%, with a corresponding preference shift towards salaried alternatives.
Similarly, blue bars indicate areas where the age group showed a significant preference for animal pictures and a corresponding preference for animal words.
The authors were able to associate the identification of specific kinase residues with a corresponding preference in the sequence of the substrate.
Moreover, sign tests revealed that the number of areas with a corresponding preference for tool or animal words and pictures was higher than chance-level in adults (p < 0.001) but not in children with similar levels of BOLD confounds (p = 0.235).
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The chance of finding a corresponding category preference if there is no relationship between the category preference for words and pictures is 50%.
Confound-matched adults showed significantly more areas with a corresponding category preference for words and pictures than confound-matched children (χ = 5.54, df = 1, p = 0.019).
We used Chi-square tests rather than ANOVA's for this age comparison because the measure (whether ROIs show a corresponding category preference for words and for pictures or not) is categorical.
In contrast, in both groups of children, the proportion of ROIs with a corresponding category preference words and pictures was at chance level (9- to 10-year-olds: 64 out of 134 ROIs: p = 0.33, 7- to 8-year-olds: 72 out of 144 ROIs: p = 0.53), so, in both younger and older children, the local category preference for words and pictures was unrelated.
Similarly, in 7- to 8-year-olds, 4 out of 7 regions showed a corresponding category preference for pictures and words and an ANOVA revealed no significant effects of Category (F 1, 10) = 0.025, p = 0.88) or Category × ROI (F 3.1, 31.1) = 1.74, p = 0.92.
In order to get a cardinal (interval-valued) utility representation of a preference ordering i.e., a measure that represents not only how an agent orders the options but also says something about the desirabilistic "distance" between options we need a richer setting; the option set and the corresponding preference ordering will need to have more structure than for an ordinal utility measure.
Then a preference-based deterministic bilevel programming problem can be constructed by replacing the upper level interval objective function with corresponding preference level and using the order relation (preceq_{mw}) to handle the lower level interval objective function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com