F Score Confusion Matrix Calculator

Analyze classification outcomes using true and false prediction counts. Understand F1 performance with guided visuals. Save tables, charts, and results for classroom review tasks.

Calculator Inputs

Enter confusion matrix values and choose your preferred beta weight.

Example Data Table

This table shows sample classroom classification scenarios and their calculated performance metrics.

Scenario TP FP TN FN β Precision Recall F1 Accuracy
Quiz Model A 48 6 70 8 1.00 88.8889% 85.7143% 87.2727% 87.2727% 89.3939%
Quiz Model B 35 12 81 9 1.00 74.4681% 79.5455% 76.9231% 76.9231% 84.6715%
Essay Model C 62 15 54 11 0.50 80.5195% 84.9315% 82.6667% 81.3648% 81.6901%
Exam Model D 29 4 92 10 2.00 87.8788% 74.3590% 80.5556% 76.7196% 89.6296%

Formula Used

Precision = TP / (TP + FP)
Recall = TP / (TP + FN)
F1 Score = 2 × TP / (2 × TP + FP + FN)
Fβ Score = (1 + β²) × TP / ((1 + β²) × TP + β² × FN + FP)
Accuracy = (TP + TN) / (TP + FP + TN + FN)
Specificity = TN / (TN + FP)
Balanced Accuracy = (Recall + Specificity) / 2
MCC = ((TP × TN) - (FP × FN)) / √((TP+FP)(TP+FN)(TN+FP)(TN+FN))

Use β = 1 for the common F1 score. Use β greater than 1 when recall matters more. Use β below 1 when precision matters more.

How to Use This Calculator

  1. Enter the number of true positives.
  2. Enter the number of false positives.
  3. Enter the number of true negatives.
  4. Enter the number of false negatives.
  5. Choose a beta value for your scoring focus.
  6. Set the number of decimal places.
  7. Click Calculate F Score to view results.
  8. Review the summary cards, matrix table, and Plotly graph.
  9. Download the result CSV, example CSV, or PDF report.

Why This Calculator Helps in Education

This tool helps teachers, researchers, and learning analysts evaluate binary classification tasks. It can support essay screening, quiz prediction, intervention targeting, attendance alerts, or automated assessment review. The extra metrics give wider insight than F1 alone, especially when classroom datasets are imbalanced.

Frequently Asked Questions

1. What does the F score measure?

The F score combines precision and recall into one metric. It helps you judge how well a classifier finds positive cases while avoiding false alarms.

2. Why use a confusion matrix first?

A confusion matrix shows correct and incorrect predictions clearly. It provides the four counts needed to calculate precision, recall, accuracy, specificity, and F based metrics.

3. What is the difference between F1 and Fβ?

F1 gives equal importance to precision and recall. Fβ lets you shift emphasis. Larger beta values favor recall, while smaller beta values favor precision.

4. When should I choose beta greater than 1?

Choose beta above 1 when missing positives is costly. In education, this may apply when identifying at risk students matters more than avoiding extra flags.

5. Can high accuracy still hide weak performance?

Yes. Accuracy can look strong when one class dominates. F score, precision, and recall reveal whether the model handles positive cases effectively.

6. What happens if a denominator becomes zero?

The calculator marks that metric as undefined. This prevents misleading values when there are no predicted positives, no actual positives, or similar edge cases.

7. Is this tool only for machine learning classes?

No. It also suits research methods, educational measurement, analytics lessons, and classroom data review where binary decisions need careful evaluation.

8. Why include MCC and balanced accuracy?

These metrics add context. MCC gives a more balanced correlation style measure, while balanced accuracy treats positive and negative classes more fairly.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.