Concordance Correlation Coefficient Calculator

Measure how closely two methods agree on values. See concordance, correlation, and bias correction together. Download results, inspect plots, and validate paired datasets confidently.

Calculator

Use one row per pair. Accepted separators include comma, tab, semicolon, or spaces.

What this tool returns

  • Concordance correlation coefficient
  • Pearson correlation
  • Bias correction factor
  • Mean bias, MAD, and RMSE
  • Location and scale shift
  • Scatter plot with identity line
  • CSV and PDF downloads

Example Data Table

# Method X Method Y
110.110.4
212.011.8
313.513.8
415.215.0
516.116.5
618.418.2
719.019.3
821.221.1

Formula Used

The calculator uses Lin’s concordance correlation coefficient:

CCC = (2 × covariance(X,Y)) / (variance(X) + variance(Y) + (meanX - meanY)²)

Pearson correlation measures precision. The bias correction factor measures closeness to the 45-degree identity line. Their product gives concordance, which captures both correlation and agreement.

Additional outputs include mean bias, mean absolute difference, root mean square error, location shift, and scale shift. These help explain whether disagreement comes from average offset, spread mismatch, or both.

How to Use This Calculator

  1. Enter paired observations, one pair on each line.
  2. Choose a delimiter or leave auto detection selected.
  3. Set the decimal precision for the displayed results.
  4. Press Calculate to compute concordance and related measures.
  5. Review the summary, cleaned data table, and agreement plot.
  6. Download CSV or PDF if you need a saved report.

Frequently Asked Questions

1. What does the concordance correlation coefficient measure?

It measures how closely paired values follow the identity line. It combines precision and accuracy, so it reflects both correlation strength and agreement between methods.

2. How is CCC different from Pearson correlation?

Pearson correlation checks linear association. CCC also penalizes bias and scale mismatch. Two methods can correlate strongly but still show lower concordance if they systematically differ.

3. Why do I need paired data?

CCC compares matched observations from two methods, instruments, or raters. Each row must represent the same item measured twice under comparable conditions.

4. What does a negative CCC mean?

A negative result suggests serious disagreement or opposing movement. It often signals poor reproducibility, data entry mistakes, or a relationship inconsistent with practical agreement.

5. Why are some rows ignored?

Rows are ignored when they do not contain exactly two valid numbers. The calculator lists those lines so you can fix formatting and rerun the analysis.

6. What do location and scale shift show?

Location shift reflects average offset between methods. Scale shift reflects spread mismatch. Together they help explain whether disagreement is caused by bias, variability differences, or both.

7. Can I use this for instrument comparison?

Yes. It is commonly used when comparing two measurement methods, duplicate assays, manual versus automated readings, or repeated measurements on the same samples.

8. When should I also inspect the plot?

The plot helps reveal outliers, nonlinearity, clustering, and systematic deviation from the identity line. It adds context that a single summary coefficient cannot show alone.

Related Calculators

Mann-Whitney U Test CalculatorKruskal-Wallis H Test CalculatorKendall Tau Correlation CalculatorChi-Square Goodness of Fit CalculatorSign Test CalculatorKolmogorov-Smirnov One Sample Test CalculatorKolmogorov-Smirnov Two Sample Test CalculatorJonckheere-Terpstra Trend Test CalculatorMcNemar Test CalculatorFisher Exact Test Calculator

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.