Accuracy Calculator

Calculate statistical accuracy using multiple methods: confusion matrix, prevalence, and percent error

Calculate Statistical Accuracy

Choose the appropriate method for your calculation needs

Confusion Matrix Values

Correct positive predictions

Correct negative predictions

Incorrect positive predictions

Incorrect negative predictions

Accuracy Results

0.00%
Accuracy

Formula used: Accuracy = (TP + TN) / (TP + TN + FP + FN) × 100

Total samples: 0

Accuracy Interpretation

Example Calculation

Medical Diagnostic Test Example

Test results from 1000 patients:

• True Positive (TP): 85 (correctly identified as having disease)

• True Negative (TN): 895 (correctly identified as healthy)

• False Positive (FP): 15 (incorrectly identified as having disease)

• False Negative (FN): 5 (incorrectly identified as healthy)

Calculation

Accuracy = (TP + TN) / (TP + TN + FP + FN) × 100

Accuracy = (85 + 895) / (85 + 895 + 15 + 5) × 100

Accuracy = 980 / 1000 × 100

Accuracy = 98.0%

Confusion Matrix

Predicted
Positive
Negative
Actual Positive
TP
0
FN
0
Actual Negative
FP
0
TN
0

When to Use Each Method

1

Standard Method

When you have actual test results

Uses confusion matrix values

2

Prevalence Method

When prevalence differs from sample

Adjusts for population prevalence

3

Percent Error

For measurement accuracy

Compares observed vs true values

Accuracy Tips

Higher accuracy doesn't always mean better performance

Consider precision and recall for imbalanced datasets

F1 score balances precision and recall

Accuracy can be misleading with rare events

Understanding Statistical Accuracy

What is Statistical Accuracy?

Statistical accuracy measures how close a prediction, measurement, or test result is to the true or accepted value. It's a fundamental metric in statistics, machine learning, and scientific measurements.

Types of Accuracy

  • Classification Accuracy: Proportion of correct predictions
  • Measurement Accuracy: Closeness to true value
  • Diagnostic Accuracy: Test performance in medical diagnosis

Accuracy vs. Precision

Accuracy: How close to the true value

Precision: How close repeated measurements are to each other

Key Formulas

Standard: (TP + TN) / (TP + TN + FP + FN)

Prevalence: (Sensitivity × Prevalence) + (Specificity × (1 - Prevalence))

Percent Error: 100% - |Observed - Accepted| / |Accepted| × 100