WARNING: Material on this page is not easy to understand.
There are seven sources of variance in triadic ratings:
Individual
judge: a judge's general view of how people see others
perceiver: how people think a person tends to see
others
target: how people think a person is seen by others
Dyad
judge by perceiver: disagreements between judges in how
a person sees others
judge by target: disagreements between judges in how
a person is seen by others
perceiver by target: agreement between judges in how
a person uniquely views a target
Triad
judge by perceiver by target: most of this is likely error
There are 16 univariate correlations:
Individual
Dyad
Triad
The are so many bivariate correlations that they
are too numerous to describe. In general, each a variable can be correlated
with all other components at that level. So individual effects are correlated
with individual effects, dyadic with dyadic, and triadic with triadic.
Most of the work that I have done on triadic analyses
of perception has been with Charles
Bond. Many of the insights and almost
all of the math are due to him.
Bond, C. F., Jr., Horn, E. M., & Kenny, D. A. (1997).
A model for triadic relations.
Psychological Methods, 2, 79-94. doi:10.1037/1082-989X.2.1.79
Kenny, D. A., Bond, C. F., Jr., Mohr, C. D., & Horn, E. M.(1996).
Do we know how much people like one another?
Journal of Personality and Social Psychology, 71, 928-936.
doi:10.1037/0022-3514.71.5.928