DescTools (version 0.99.36)

KendallTauB: Kendall's \(\tau_{b}\)

Description

Calculate Kendall's tau-b. The estimator could also be calculated with cor(..., method="kendall"). The calculation of confidence intervals however would not be found there.

Usage

KendallTauB(x, y = NULL, conf.level = NA, ...)

Arguments

x

a numeric vector, matrix or data.frame.

y

NULL (default) or a vector with compatible dimensions to x. If y is provided, table(x, y, …) is calculated.

conf.level

confidence level of the interval. If set to NA (which is the default) no confidence interval will be calculated.

…

further arguments are passed to the function table, allowing i.e. to set useNA. This refers only to the vector interface.

Value

a single numeric value if no confidence intervals are requested, and otherwise a numeric vector with 3 elements for the estimate, the lower and the upper confidence interval

References

Agresti, A. (2002) Categorical Data Analysis. John Wiley & Sons, pp. 57-59.

Kendall, M. (1955) Rank Correlation Methods, Second Edition, London: Charles Griffin and Co.

Brown, M.B.andBenedetti, J.K.(1977) Sampling Behavior of Tests for Correlation in Two-Way Contingency Tables, Journal of the American Statistical Association, 72, 309-315.

See Also

ConDisPairs yields concordant and discordant pairs Other association measures: GoodmanKruskalGamma, KendallTauA (tau-a), cor (method="kendall") for tau-b, StuartTauC (tau-c), SomersDelta Lambda, GoodmanKruskalTau, UncertCoef, MutInf

Examples

# NOT RUN {
# example in:
# http://support.sas.com/documentation/cdl/en/statugfreq/63124/PDF/default/statugfreq.pdf
# pp. S. 1821

tab <- as.table(rbind(c(26,26,23,18,9),c(6,7,9,14,23)))

KendallTauB(tab, conf.level=0.95)
# }