The consistency form does not penalise a rater who is systematically high, because the column mean square is left out of the denominator. Right when only the ordering matters, wrong when the absolute number is the point.
References
Shrout & Fleiss (1979) Psychol Bull 86:420-428; McGraw & Wong (1996) Psychol Methods 1:30-46.
Examples
IccC(y = c(1, 2, 3, 4, 5, 6, 7, 8), subject = c(1, 2, 3, 4, 5, 6, 7, 8),
rater = c(1, 2, 3, 4, 5, 6, 7, 8))
#> $estimate
#> [1] -1.44898
#>
#> $ms_r
#> [1] 48
#>
#> $ms_c
#> [1] 48
#>
#> $ms_e
#> [1] -12.85714
#>
#> $k
#> [1] 8
#>
#> $n_subjects
#> [1] 8
#>
#> $method
#> [1] "Intraclass correlation ICC(C,1)"
#>
#> attr(,"class")
#> [1] "morie_rich_result" "list"
