ICC(2,1) agreement point estimate calculator

Calculate ICC absolute agreement, single measurement and subject mean square with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use ICC absolute agreement, single measurement and subject mean square to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Subjects × raters measurements JSON
[[9,10,11],[11,12,13],[14,15,16],[17,16,18]]
ICC(2,1) absolute agreement, single measurement
0.905512
Subject mean square
29
Rater mean square
3.25
Residual mean square
0.25

Try another scenario

Subjects × raters measurements JSON
[[10,10,11],[11,12,13],[14,15,16],[17,16,18]]
ICC(2,1) absolute agreement, single measurement
0.913793
Subject mean square
26.75
Rater mean square
2.583333
Residual mean square
0.25
Calculation method

Calculation method

ICC(2,1) absolute agreement, single measurement

Two-way random-effects absolute-agreement ICC=(MSR-MSE)/(MSR+(k-1)MSE+k(MSC-MSE)/n).

Subject mean square

Two-way random-effects absolute-agreement ICC=(MSR-MSE)/(MSR+(k-1)MSE+k(MSC-MSE)/n).

Rater mean square

Two-way random-effects absolute-agreement ICC=(MSR-MSE)/(MSR+(k-1)MSE+k(MSC-MSE)/n).

Residual mean square

Two-way random-effects absolute-agreement ICC=(MSR-MSE)/(MSR+(k-1)MSE+k(MSC-MSE)/n).

Symbols and units
a
Subjects × raters measurements JSON

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Balanced complete ratings. Specific ICC(2,1) model only; negative estimates retained. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Balanced complete ratings. Specific ICC(2,1) model only; negative estimates retained.
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