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Results tagged with intraclass-correlation
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user 5829
Intraclass correlation coefficient (ICC) measures how much quantitative values are similar or associated within groups. There exist several versions and alternative formulations of ICC. The correlation is used to assess a dataset clusteredness, agreement among raters and in other settings.
11
votes
ICC as expected correlation between two randomly drawn units that are in the same group
@Wolfgang already gave a great answer. I want to expand on it a little to show that you can also arrive at the estimated ICC of 0.75 in his example dataset by literally implementing the intuitive algo …
- 12.9k
20
votes
Accepted
Intraclass Correlation Coefficient in mixed model with random slopes
Basically there's no single number or estimate that can summarize the degree of clustering in a random slopes model.
The intra-class correlation (ICC) can only be written as a simple proportion of va …
- 12.9k
19
votes
Accepted
How to partition the variance explained at group level and at individual level?
Yes, there is a consensus: you should use the variances, not the standard deviations, in computing the intra-class correlation (ICC).
The two-level random-intercept-only model is
$$
y_{ij} = \beta_0 …
- 12.9k
1
vote
Accepted
Low intraclass correlation although between variance is very high in random effects model
The relative size of between-cluster variance vs. within-cluster variance on your independent variables is totally irrelevant for the intra-class correlation. You only need to consider the variance of …
- 12.9k
9
votes
Computing repeatability of effects from an lmer model
I think I can answer your questions at least concerning the unadjusted repeatability estimates, i.e., the classical intra-class correlations (ICCs). As for the "adjusted" repeatability estimates, I sk …
- 12.9k
11
votes
Accepted
ICC in a linear mixed model - longitudial data - why is this the correlation between time pe...
Note: the discussion below is largely copy/pasted from my answers in the following threads:
Computing repeatability of effects from an lmer model
how to partition the variance explained at group lev …
- 12.9k
5
votes
Which ICC estimator to use under the fixed effects model?
What is an accepted estimator for the ICC under the fixed efects model? I am searching the literature but cannot seem to find it.
That's probably because there's not much to say about the ICC in a s …
- 12.9k
1
vote
The valid variance components to include in a generalizability theory model (anova) involvin...
First of all, yes, the design consists of 5 facets and not 3.
The rule about which interactions can or cannot be estimated in a design that involves nesting is the following: all combinations of fact …
- 12.9k
27
votes
Accepted
Showing that 100 measurements for 5 subjects provide much less information than 5 measuremen...
The short answer is that your conjecture is true when and only when there is a positive intra-class correlation in the data. Empirically speaking, most clustered datasets most of the time show a posit …
- 12.9k
36
votes
Accepted
Big disagreement in the slope estimate when groups are treated as random vs. fixed in a mixe...
There are several things going on here. These are interesting issues, but it will take a fair amount of time/space to explain it all.
First of all, this all becomes a lot easier to understand if we p …
- 12.9k