Acc, precision, recall in detecting Rare “Silly Squirrel Syndrome” in Forest Animals

selective focus of squirrel

Consider the use of accuracy, precision, recall a funny classification problem in a medical scenario set in a forest involving forest animals.

So, the data has:

Total Forest Animals Tested: 1000
Animals with Silly Squirrel Syndrome (SSS): 20 (positive class)
Animals without Silly Squirrel Syndrome: 980 (negative class)

Model Predictions:

  • True Positives (TP): 15 (animals correctly detected with SSS)
  • False Positives (FP): 50 (healthy animals incorrectly identified as having SSS)
  • True Negatives (TN): 930 (healthy animals correctly identified)
  • False Negatives (FN): 5 (animals with SSS missed)

Calculations:

  1. Accuracy:
    \text{Accuracy} = \frac{\text{TP} + \text{TN}}{\text{Total Animals}} = \frac{15 + 930}{1000} = \frac{945}{1000} = 0.945 \, (94.5\%)
  2. Precision:
    \text{Precision} = \frac{\text{TP}}{\text{TP} + \text{FP}} = \frac{15}{15 + 50} = \frac{15}{65} \approx 0.231 \, (23.1\%)
  3. Recall:
    \text{Recall} = \frac{\text{TP}}{\text{TP} + \text{FN}} = \frac{15}{15 + 5} = \frac{15}{20} = 0.75 \, (75\%)

Interpretation:

  • Accuracy (94.5%): The forest medical team is happy because the model correctly identifies 94.5% of the forest animals. However, this high accuracy is mainly due to the large number of healthy animals.
  • Precision (23.1%): When the model predicts an animal has Silly Squirrel Syndrome, it is only correct 23.1% of the time. This means a lot of healthy animals like chipmunks and deer are incorrectly told they have SSS, leading to unnecessary acorn diets and tail-wagging therapy.
  • Recall (75%): The model correctly identifies 75% of the animals with SSS, which means it is pretty good at catching those sneaky, silly squirrels, but still misses a few who continue their hilarious antics unnoticed.

Importance:

In this forest scenario, precision is crucial because a low precision means many healthy animals are wrongly diagnosed with Silly Squirrel Syndrome, leading to unnecessary and amusing treatments. Recall is also important because a low recall means many cases of the syndrome are missed, allowing some silly squirrels to go on confusing the other animals. Therefore, precision and recall provide a better evaluation of the model’s performance in this whimsical woodland setting than accuracy alone.

close up of a squirrel standing on the ground
Photo by patrice schoefolt on Pexels.com

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