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Grouped data include repeated measures data, longitudinal data,
functional data and multilevel data as special cases. For such data,
we define SNR models as
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(38) |
where
is the response of subject
at design point
,
is a covariate in a general
domain
,
is a known function of
which depends
on a vector of parameter
and a vector of unknown non-parametric function
; and
. For grouped data, usually
observations are correlated within a subject but are independent
between subjects. In this case W is in the form of block diagonal.
Again, each function
is modeled using an SS ANOVA model
(
). Again, assume that
depends on a parsimonious
set of parameters
.
For model (
), we denote
,
,
,
,
, and
. Then model (
) can
be written in the same vector form as (
).
Yuedong Wang
2004-05-19