The functions perform \(F\) or \(t\) testing for several responses based on a matrix of hypothesis observations and a matrix of error observations.
unitests(xyObj)unitest(modelData, errorData, dfError = dim(errorData)[1])
a design-with-responses object created by xy_Obj
matrix of hypothesis observations
matrix of error observations
Degrees of freedom for error needs to be specified if
errorData
is incomplete
unitest
returns a list with components
\(p\)-values
The test statistics as \(t\)-statistics (when single degree of freedom) or \(F\)-statistics
unitests returns a list with components
Matrix of
\(p\)-values from unitest
, one row for each term.
Matrix of test statistics from unitest
, one row for each
term.
modelData
and errorObs
correspond to hypObs
and
errorObs
calculated by xy_Obj
. These matrices are efficient
representations of sums of squares and cross-products (see
xy_Obj
for details). This means the univariate
\(F\)-statistics can be calculated straightforwardly from these input
matrices. Furthermore, in the single-degree-of-freedom case,
\(t\)-statistics with correct sign can be obtained.
unitests
is a wrapper function that calls unitest
for each
term in the xyObj
(see xy_Obj
for details) and collects
the results.