Uncertainty Coefficient
The uncertainty coefficient U(C|R) measures the proportion of uncertainty (entropy) in the column variable Y that is explained by the row variable X. The function has interfaces for a table, a matrix, a data.frame and for single vectors.
UncertCoef(x, y = NULL, direction = c("symmetric", "row", "column"),
conf.level = NA, p.zero.correction = 1/sum(x)^2, ...)x |
a numeric vector, a factor, matrix or data frame. |
y |
|
direction |
direction of the calculation. Can be |
conf.level |
confidence level of the interval. If set to |
p.zero.correction |
slightly nudge zero values so that their logarithm can be calculated |
... |
further arguments are passed to the function |
The uncertainty coefficient is computed as
U(C|R) = \frac{H(X) + H(Y) - H(XY)}{H(Y)}
and
ranges from [0, 1].
Either a single numeric value, if no confidence interval is required,
or a vector with 3 elements for estimate, lower and upper confidence intervall.
Andri Signorell <andri@signorell.net> strongly based on code from Antti Arppe <antti.arppe@helsinki.fi>
Theil, H. (1972), Statistical Decomposition Analysis, Amsterdam: North-Holland Publishing Company.
# example from Goodman Kruskal (1954)
m <- as.table(cbind(c(1768,946,115), c(807,1387,438), c(189,746,288), c(47,53,16)))
dimnames(m) <- list(paste("A", 1:3), paste("B", 1:4))
m
# direction default is "symmetric"
UncertCoef(m)
UncertCoef(m, conf.level=0.95)
UncertCoef(m, direction="row")
UncertCoef(m, direction="column")Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.