第 467 題(共 548 題)
在二元分類問題中,模型的混淆矩陣顯示:TP=80, FP=20, FN=40, TN=860。下列計算何者「錯誤」?
解析
正確答案是(D)。F1-Score = 2×P×R/(P+R) = 2×0.8×0.667/(0.8+0.667) = 1.0672/1.467 ≈ 72.7%,而非82.3%。這題考驗計算能力和對公式的精確理解。(A)正確:Accuracy = (TP+TN)/Total = 940/1000 = 94%。(B)正確:Precision = TP/(TP+FP) = 80/100 = 80%。(C)正確:Recall = TP/(TP+FN) = 80/120 ≈ 66.7%。關鍵概念:F1-Score是Precision和Recall的調和平均數,計算時要注意是調和平均而非算術平均。
正確答案:D. F1-Score = 2×(80%×66.7%)/(80%+66.7%) ≈ 82.3%