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ClearAll[DiversityPredictionTheorem]
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DiversityPredictionTheorem[trueval_?NumericQ, estimates_List] :=
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Module[{avg, avgerr, crowderr, diversity},
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avg = Mean[estimates];
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avgerr = Mean[(estimates - trueval)^2];
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crowderr = (trueval - avg)^2;
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diversity = Mean[(estimates - avg)^2];
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<|
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"TrueValue" -> trueval,
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"CrowdEstimates" -> estimates,
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"AverageError" -> avgerr,
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"CrowdError" -> crowderr,
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"Diversity" -> diversity
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|>
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]
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DiversityPredictionTheorem[49, {48, 47, 51}] // Dataset
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DiversityPredictionTheorem[49, {48, 47, 51, 42}] // Dataset
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