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8
votes
1
answer
533
views
Are Brier and log-loss proper or strictly proper scoring rules?
But in his article Damage Caused by Classification Accuracy and Other Discontinuous Improper Accuracy Scoring Rules Dr Harrel refers to these two as just proper scoring rules:
The two most commonly used … proper scoring rules are the quadratic error measure, i.e., mean squared error or Brier score, and the logarithmic scoring rule... …
9
votes
Cross-validation or bootstrapping to evaluate classification performance?
You need modifications to the bootstrap (.632, .632+) only because the original research used a discontinuous improper scoring rule (proportion classified correctly). … Improper scoring rules mislead you on the choice of features and their weights. In other words, everything that can go wrong will go wrong. For more see this. …
6
votes
Improving accuracy of a binary classification when the target is unbalanced
The proportion classified correctly is a discontinuous improper scoring rule. An improper scoring rule is one that is optimized by a bogus model. … With an improper scoring rule such things as addition of a highly important predictor making the model less accurate can happen. …
6
votes
Is a lower training accuracy possible in overfitting (one class SVM)
Proportion classified correctly is a discontinuous improper scoring rule that is optimized by a bogus model. I would not believe anything that you learn from it. …
13
votes
Test accuracy higher than training. How to interpret?
Third, you have chosen as an accuracy score a discontinuous improper scoring rule (proportion classified correctly). Such an improper scoring rule will lead to selection of the wrong model. …
3
votes
Cross validation with two parameters: elastic net case
If by error rate you mean the usual one (proportion classified correctly), this is a discontinuous improper scoring rule. An improper scoring rule is optimized by a bogus model. …
22
votes
2
answers
2k
views
Academic reference on the drawbacks of accuracy, F1 score, sensitivity and/or specificity
The exact same issues also plague the F1 score (actually all Fβ scores), sensitivity, specificity and alternatives.
Is there a standard academic article one can point to discussing these issues? … I have looked through Frank Harrell's "Damage Caused by Classification Accuracy and Other Discontinuous Improper Accuracy Scoring Rules". This kind of material is exactly what I am envisaging. …
8
votes
Recall and precision in classification
Moving from continuous predictions, as used in computing ROC area (concordance probability; c-index) to a discontinuous improper scoring rule (forced-choice classification accuracy) results in all kinds … It is much better to make decisions on the basis of proper scoring rules (e.g., log-likelihood/deviance/logarithmic probability scoring rule; Brier score (quadratic probability accuracy score)). …
3
votes
Likelihood ratio test disagrees with cross-validation results
The cross-validation measures you seem to be computing are discontinuous improper accuracy scores. … They are designed not to agree with proper scoring methods such as likelihood-based measures and the Brier score. …
2
votes
Accepted
Can't .632+ rule be computed for any kind of outcome and prediction score?
As Frank Harrell notes in this answer:
You need modifications to the bootstrap (.632, .632+) only because the original research used a discontinuous improper scoring rule (proportion classified correctly … So I suppose that you could compute a .632+ score for other purposes, but there might not be much point. I suspect that accounts for any paucity of functions in R with respect to .632+ estimates. …
1
vote
Low classification accuracy for statistically different features
The problem is that proportional 'classified' correctly is an arbitrary discontinuous improper accuracy scoring rule. Don't trust anything you learn from it. …
2
votes
Checking whether accuracy improvement is significant
I would highly discourage the use of any discontinuous improper scoring rule (an accuracy score such as sensitivity, specificity, proportion classified correct that when optimized results in a bogus model …
1
vote
Is it valid to get better performance in logistic regression using only a subset of the coef...
This is a classic example of the harm caused by the use of a discontinuous improper scoring rule. … Sensitivity and specificity are also improper accuracy scores and are discussed at length in the Diagnosis chapter of the same notes. …
2
votes
Dealing with imbalanced data-set and cross-validation
The fact that you are bringing up the issue of balance means that you have not considered the fact that proportion "classified" "correctly" is a discontinuous improper accuracy scoring rule. … If you use a proper scoring rule (e.g., Brier score or pseudo $R^2$) the issue goes away. See this and this for more. …
3
votes
Confidence interval for cross-validated classification accuracy
Classification error is both discontinuous and an improper scoring rule. It has low precision, and optimizing it selects on the wrong features and gives them the wrong weights. …