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coin (version 1.0-24)

SymmetryTest: General Symmetry Test

Description

Testing the symmetry of a response for repeated measurements in a complete block design.

Usage

## S3 method for class 'formula':
symmetry_test(formula, data, subset = NULL, \dots)
## S3 method for class 'SymmetryProblem':
symmetry_test(object, 
    teststat = c("max", "quad", "scalar"),
    distribution = c("asymptotic", "approximate"),
    alternative = c("two.sided", "less", "greater"),
    xtrafo = trafo, ytrafo = trafo, scores = NULL, 
    check = NULL, ...)
## S3 method for class 'table':
symmetry_test(object, ...)

Arguments

formula
a formula of the form y1 + ... + yp ~ x1 + ... + xq | block where the variables on the left and right hand side may be measured on arbitrary scales and block is an optional factor for stratification.
data
an optional data frame containing the variables in the model formula.
subset
an optional vector specifying a subset of observations to be used.
object
an object inheriting from class SymmetryProblem or an object of class table.
teststat
a character, the type of test statistic to be applied: either a standardized scalar test statistic (scalar), or a maximum type statistic (max) or a quadratic form (quad).
alternative
a character, the alternative hypothesis must be one of "two.sided" (default), "greater" or "less". You can specify just the initial letter.
distribution
a character, the null distribution of the test statistic can be computed exactly or can be approximated by its asymptotic distribution (asymptotic) or via Monte-Carlo resampling (approximate). Alterna
xtrafo
a function of transformations (see trafo) to be applied to the variables on the right hand side of formula, see below.
ytrafo
a function of transformations (see trafo) to be applied to the variables on the left hand side of formula, see below.
scores
a named list of scores to be attached to ordered factors. In case a variable is an unordered factor, it is coerced to ordered first.
check
a function to be applied to objects of class SymmetryTest in order to check for specific forms, see below.
...
further arguments to be passed to or from methods.

Value

  • An object inheriting from class IndependenceTest with methods show, pvalue and statistic.

Details

This function handles symmetry problems where each block corresponds to exactly one observation with repeated measurements.