Diagnostics › Agreement

Intraclass correlation (ICC)

The intraclass correlation coefficient measures agreement among continuous ratings from two or more raters, reporting all six Shrout-Fleiss forms with guidance on which to use.

What is Intraclass correlation (ICC)?

ICC measures both consistency and absolute agreement of continuous ratings, depending on which Shrout-Fleiss form you pick. The six forms cross three model assumptions (one-way, two-way random, two-way mixed) with two units (single rater, mean of k raters).

Common choices: ICC(2, 1) for inter-rater agreement when raters are a random sample (clinical scoring by independent reviewers); ICC(3, 1) when the specific raters are fixed (always the same two pathologists); ICC(2, k) when the application is the mean of all raters (used in clinical trials with multiple readers).

ICC is also the standard reliability coefficient for test-retest with k = 2 repeated measurements per subject.

When should I use Intraclass correlation (ICC)?

  • Continuous ratings from ≥ 2 raters.
  • Test-retest reliability for a single rater on the same subjects.
  • Final agreement statistic when Bland-Altman shows acceptable LoA.

What data does it need?

≥ 2 numeric columns (one per rater).

What does it report?

All six Shrout-Fleiss forms (ICC1/2/3 × single/average) with a guidance note.

What does it assume?

  • Each model differs in what's random (raters) vs fixed. The notes in the result panel walk you through which to report for your design.

How do I interpret the result?

Koo & Li 2016 anchors: < 0.50 poor, 0.50–0.75 moderate, 0.75–0.90 good, > 0.90 excellent reliability.

If ICC and Pearson's r differ substantially, the issue is a systematic bias (one rater scoring consistently higher than the other) that r ignores and ICC penalises — investigate the bias before reporting agreement.

See also

References

  • Shrout & Fleiss (1979). Intraclass correlations: uses in assessing rater reliability. Psych. Bull. 86(2).
  • Koo & Li (2016). A guideline of selecting and reporting intraclass correlation coefficients for reliability research. J. Chiro. Med. 15(2).