statistic-methods | R Documentation |
Methods for extraction of the test statistic and the linear statistic.
## S4 method for signature 'IndependenceLinearStatistic'
statistic(object, type = c("test", "linear", "centered", "standardized"),
partial = FALSE, ...)
## S4 method for signature 'IndependenceTestStatistic'
statistic(object, type = c("test", "linear", "centered", "standardized"),
partial = FALSE, ...)
## S4 method for signature 'IndependenceTest'
statistic(object, type = c("test", "linear", "centered", "standardized"),
partial = FALSE, ...)
object |
an object from which the test statistic or the linear statistic can be extracted. |
type |
a character string indicating the type of statistic: either |
partial |
a logical indicating that the partial linear statistic for each block should
be extracted. Defaults to |
... |
further arguments (currently ignored). |
The method statistic
extracts the univariate test statistic or the,
possibly multivariate, linear statistic in its unstandardized, centered or
standardized form.
The test statistic (type = "test"
) is returned by default. The
unstandardized, centered or standardized linear statistic is obtained by
setting type
to "linear"
, "centered"
or
"standardized"
, respectively. For tests of conditional independence
within blocks, the partial linear statistic for each block is obtained by
setting partial = TRUE
.
The test statistic or the unstandardized, centered or standardized linear
statistic extracted from object
. A numeric vector, matrix or array.
## Example data
dta <- data.frame(
y = gl(4, 5),
x = gl(5, 4)
)
## Asymptotic Cochran-Mantel-Haenszel Test
ct <- cmh_test(y ~ x, data = dta)
## Test statistic
statistic(ct)
## The unstandardized linear statistic...
statistic(ct, type = "linear")
## ...is identical to the contingency table
xtabs(~ x + y, data = dta)
## The centered linear statistic...
statistic(ct, type = "centered")
## ...is identical to
statistic(ct, type = "linear") - expectation(ct)
## The standardized linear statistic, illustrating departures from the null
## hypothesis of independence...
statistic(ct, type = "standardized")
## ...is identical to
(statistic(ct, type = "linear") - expectation(ct)) / sqrt(variance(ct))
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