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Making decisions is a common mental activity in our everyday lives. For some it is essential to define a set of rules or a policy, or to adopt a policy formulated by others (the Driving Code and instructions and advice of a coach given to an athlete), because decisions have to be made instantly, permitting no deliberation or consultation. Part of the strategy may be investment in our decision-making capacity (such as by education and training), possibly a digression in the short term that may be amply rewarded later. We want to promote a transparently subjective analysis or, more generally, statistical practice, in which the client's perspective, value judgements, priorities and remits are treated on par with the data that would suffice for a more conventional objective analysis. Statistical inference is more comfortable with continua, and Euclidean spaces in particular. In contrast, decisions involve small finite sets of options, frequently just two of them.
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