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Choosing the right error metric is a crucial aspect of evaluating the performance of a machine learning model. The selection depends on the nature of the problem, the characteristics of the data, and the goals of the modeling task. Below, I provide a comprehensive guide on how to choose the right error metric:
1. Regression Problems:
a. Mean Squared Error (MSE):
When to Choose:
- Suitable when the focus is on minimizing large errors.
- Assumes that errors are normally distributed.
When not Chosen:
- Sensitive to outliers, which may distort the evaluation.
- May penalize large errors more heavily.
b. Mean Absolute Error (MAE):
When to Choose:
- Robust to outliers.
- When interpretability is crucial, as it directly represents average error magnitude.
When not Chosen:
- Less emphasis on large errors compared to MSE.
- May result in less smooth predictions.
c. Root Mean Squared Error (RMSE):
When to Choose:
- Similar to MSE but provides results in the same unit as the target variable.
When not Chosen:
- Similar limitations as MSE, especially sensitivity to outliers.
d. R-squared (R2):
When to Choose:
- When the goal is to understand how well the model explains the variance in the target variable.
- Normalized metric independent of the data scale.
When not Chosen:
- May not be suitable for all types of data, as it assumes a linear relationship.
2. Classification Problems:
a. Accuracy:
When to Choose:
- Suitable when classes are balanced.