The method of analysis may be as follows.B. We begin by calculating the MS average squares from the matrix of the experimental data and from them the values ICC – examples (ICC (1), ICC (A,1) and ICC (C,1) using the standard formulas represented. B for example in Figure 1. If we find that ICC (1) ≈ ICC (A,1) ≈ ICC (C.1), that is to say about the same (in a little percentage; see Table 4), then the distortions are probably minor, if not negligible. If an F test with F-MSBM/MSE shows that Model 1 cannot be rejected, ICC (1) can be reported accordingly, with the comment that the distortions are negligible. However, we can see that the three ICC values can then be considered as estimates of the same value of the intraclassical folk coefficient. The estimated size of the dispersal in real values and noise are determined by calculating the r and v standard deviations using Eq (5). Because the intraclass correlation coefficient provides a combination of intra-observable and inter-observative variability, its results are sometimes considered difficult to interpret when observers are not interchangeable. Other measures such as Cohen`s kappa statistics, Fleiss-Kappa and correlation coefficient have been proposed as more appropriate compliance measures among non-interchangeable observers. You`ll find the IC definitions For consistency and consistency in the article below, which is an excellent (and probably essential) resource for understanding the ICC output of SPSS. McGraw, K.O., Wong, S.P. (1996a).
Findings on certain intracelerular correlation coefficients. Psychological methods, 1, 30-46. There are situations where a distortion in the measures, represented by the term cj, could be considered acceptable. If a consistent ranking of subjects and knowledge of the differences between them are considered sufficient in each measure, we can choose to change the term Eq (9). Thus, a new coefficient of population-inclular correlation is introduced, defined by  (13) Note that the two-sided mixed effects model and absolute compliance are recommended for test-test and intra-rater reliability studies (Koo et al., 206). Our main practical conclusion is this. It is not necessary and, indeed, uncomfortable, to be linked to a specific statistical model (a single chance, mixed with two faces) at the beginning of the analysis of a matrix of experimental individual data obtained, for example in the case of a reliability study. The three intra-classical versions of the one-point correlation coefficients, i.e. ICC (1) (classic), ICC (A,1) (absolute agreement) and ICC (C.1) (coherence) can be calculated and compared. A close agreement between them (in just under one percent) qualitatively shows the absence of systematic errors (prejudices), while differences of opinion with an ICC value (C,1) exceed the CCI (A,1). An F test indicates whether the zero hypothesis (no bias) should be rejected. If this is not the case, the ICC value (1) can be declared with its confidence interval.
However, in the event of bias, ICC (1) is no longer a valid formula and should not be used. CCIs (A, 1) and ICC (C,1) are valid in the presence and without distortion of the measure.