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The F measure is an efficient way to evaluate unranked retrieval. Knowing that F=2PR/(P+R) where P refers to precision and R to recall. Which of the following statements is true?
1) F=2PR/(P+R) results from β = 0. This expression is giving more emphasis on precision.
2) F=2PR/(P+R) results from β =1. This expression is giving more emphasis on recall.
3) F=2PR/(P+R) results from β =1. This expression is balancing precision and recall.
4) F=2PR/(P+R) results from β =0. This expression is giving more emphasis on recall.

Respuesta :

Answer: number 3

Step-by-step explanation:

The F-measure is a metric used to evaluate the balance between precision and recall in information retrieval systems.

The formula for the F-measure, F=2PR/(P+R), is derived from the more general Fβ measure where β is a parameter that determines the weight given to precision and recall.

When β = 1, it indicates an equal emphasis on precision and recall, resulting in a balanced F measure that considers both aspects equally.

Therefore, statement 3 correctly states that the F-measure formula with β = 1 balances precision and recall, giving them equal importance in the evaluation process.

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