"IndependenceTestStatistic"
and Its SubclassesObjects of class "IndependenceTestStatistic"
and its subclasses
"MaxTypeIndependenceTestStatistic"
,
"QuadTypeIndependenceTestStatistic"
and
"ScalarIndependenceTestStatistic"
represent the test statistic, the
linear statistic, and the transformed and original data structures
corresponding to an independence problem.
Class "IndependenceTestStatistic"
is a virtual class, so objects
cannot be created from it directly.
Objects can be created by calls of the form
new("MaxTypeIndependenceTestStatistic", object,
alternative = c("two.sided", "less", "greater"), ...), new("QuadTypeIndependenceTestStatistic", object, paired = FALSE, ...)
and
new("ScalarIndependenceTestStatistic", object,
alternative = c("two.sided", "less", "greater"), paired = FALSE, ...)
where object
is an object of class
"IndependenceLinearStatistic"
, alternative
is a character
specifying the direction of the alternative hypothesis and paired
is a
logical indicating that paired data have been transformed in such a way that
the (unstandardized) linear statistic is the sum of the absolute values of the
positive differences between the paired observations.
For objects of classes "IndependenceTestStatistic"
,
"MaxTypeIndependenceTestStatistic"
,
"QuadTypeIndependenceTestStatistic"
or
"ScalarIndependenceTestStatistic"
:
teststatistic
:Object of class "numeric"
. The test statistic.
standardizedlinearstatistic
:Object of class "numeric"
. The standardized linear statistic.
linearstatistic
:Object of class "matrix"
. The linear statistic for each block.
expectation
:Object of class "matrix"
. The expectation of the linear statistic
for each block.
covariance
:Object of class "matrix"
. The lower triangular elements of the
covariance of the linear statistic for each block.
xtrans
:Object of class "matrix"
. The transformed x
.
ytrans
:Object of class "matrix"
. The transformed y
.
xtrafo
:Object of class "function"
. The regression function for x
.
ytrafo
:Object of class "function"
. The influence function for y
.
x
:Object of class "data.frame"
. The variables x
.
y
:Object of class "data.frame"
. The variables y
.
block
:Object of class "factor"
. The block structure.
weights
:Object of class "numeric"
. The case weights.
Additionally, for objects of classes "MaxTypeIndependenceTest"
or
"ScalarIndependenceTest"
:
alternative
:Object of class "character"
. The direction of the alternative
hypothesis.
Additionally, for objects of class "QuadTypeIndependenceTest"
:
covarianceplus
:Object of class "numeric"
. The lower triangular elements of the
Moore-Penrose inverse of the covariance of the linear statistic.
df
:Object of class "numeric"
. The rank of the covariance matrix.
Additionally, for objects of classes "QuadTypeIndependenceTest"
or
"ScalarIndependenceTest"
:
paired
:Object of class "logical"
. The indicator for paired test
statistics.
For objects of class "IndependenceTestStatistic"
:
Class "IndependenceLinearStatistic"
, directly.
Class "IndependenceTestProblem"
, by class
"IndependenceLinearStatistic"
, distance 2.
Class "IndependenceProblem"
, by class
"IndependenceLinearStatistic"
, distance 3.
For objects of classes "MaxTypeIndependenceTestStatistic"
,
"QuadTypeIndependenceTestStatistic"
or
"ScalarIndependenceTestStatistic"
:
Class "IndependenceTestStatistic"
, directly.
Class "IndependenceLinearStatistic"
, by class
"IndependenceTestStatistic"
, distance 2.
Class "IndependenceTestProblem"
, by class
"IndependenceTestStatistic"
, distance 3.
Class "IndependenceProblem"
, by class
"IndependenceTestStatistic"
, distance 4.
For objects of class "IndependenceTestStatistic"
:
Class "MaxTypeIndependenceTestStatistic"
, directly.
Class "QuadTypeIndependenceTestStatistic"
, directly.
Class "ScalarIndependenceTestStatistic"
, directly.
signature(object = "MaxTypeIndependenceTestStatistic")
: See the
documentation for ApproxNullDistribution()
for details.
signature(object = "QuadTypeIndependenceTestStatistic")
: See the
documentation for ApproxNullDistribution()
for details.
signature(object = "ScalarIndependenceTestStatistic")
: See the
documentation for ApproxNullDistribution()
for details.
signature(object = "MaxTypeIndependenceTestStatistic")
: See the
documentation for AsymptNullDistribution()
for details.
signature(object = "QuadTypeIndependenceTestStatistic")
: See the
documentation for AsymptNullDistribution()
for details.
signature(object = "ScalarIndependenceTestStatistic")
: See the
documentation for AsymptNullDistribution()
for details.
signature(object = "QuadTypeIndependenceTestStatistic")
: See the
documentation for ExactNullDistribution()
for details.
signature(object = "ScalarIndependenceTestStatistic")
: See the
documentation for ExactNullDistribution()
for details.
signature(object = "QuadTypeIndependenceTestStatistic")
: See the
documentation for covariance()
for details.
signature(.Object = "IndependenceTestStatistic")
: See the
documentation for initialize()
(in package
methods) for details.
signature(.Object = "MaxTypeIndependenceTestStatistic")
: See the
documentation for initialize()
(in package
methods) for details.
signature(.Object = "QuadTypeIndependenceTestStatistic")
: See the
documentation for initialize()
(in package
methods) for details.
signature(.Object = "ScalarIndependenceTestStatistic")
: See the
documentation for initialize()
(in package
methods) for details.
signature(object = "IndependenceTestStatistic")
: See the
documentation for statistic()
for details.