Q:Where did this “strength” come from?
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A: What is 2 meters + 3 kilograms ?
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“Effort” can have energy units.
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“Error” can be a pure number (error probability).
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A multiplier is needed to make the units agree.
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A: Strength = cost of a misinterpretation
Other than being part of the Bayesean risk, you also need a scale factor just to make the units of G and R agree.