expectation-methods

Extraction of the Expectation, Variance and Covariance of the Linear Statistic

Methods for extraction of the expectation, variance and covariance of the linear statistic.

Usage

# S4 method for IndependenceLinearStatistic
expectation(object, …)
# S4 method for IndependenceTest
expectation(object, …)
# S4 method for Variance
variance(object, …)
# S4 method for CovarianceMatrix
variance(object, …)
# S4 method for IndependenceLinearStatistic
variance(object, …)
# S4 method for IndependenceTest
variance(object, …)
# S4 method for CovarianceMatrix
covariance(object, …)
# S4 method for IndependenceLinearStatistic
covariance(object, …)
# S4 method for IndependenceTest
covariance(object, …)

Details

The methods expectation, variance and covariance extract the expectation, variance and covariance, respectively, of the linear statistic.

Aliases

• expectation
• expectation-methods
• expectation,IndependenceLinearStatistic-method
• expectation,IndependenceTest-method
• variance
• variance-methods
• variance,Variance-method
• variance,CovarianceMatrix-method
• variance,IndependenceLinearStatistic-method
• variance,IndependenceTest-method
• covariance
• covariance-methods
• covariance,CovarianceMatrix-method
• covariance,IndependenceLinearStatistic-method
• covariance,IndependenceTest-method

Examples

# NOT RUN {
## Example data
dta <- data.frame(
    y = gl(3, 2),
    x = sample(gl(3, 2))
)

## Asymptotic Cochran-Mantel-Haenszel Test
ct <- cmh_test(y ~ x, data = dta)

## The linear statistic, i.e., the contingency table...
(l <- statistic(ct, type = "linear"))

## ...and its expectation...
(El <- expectation(ct))

## ...and covariance
(Vl <- covariance(ct))

## The standardized contingency table...
(l - El) / sqrt(variance(ct))

## ...is identical to the standardized linear statistic
statistic(ct, type = "standardized")
# }