Bft2x2: Bayesian analysis of a 2 x 2 contingency table.
Description
A 2 x 2 contingency table (in matrix form) is analyzed in a Bayesian
way using uniform priors. The posterior probabilities of each of the the
two outcomes given the other factor levels are calculated.
See MacKay(2003, p. 460).
Usage
Bft2x2(X, div = 100, plotit = TRUE)
Arguments
X
a contingency table in the form of a 2 x 2 matrix with row and column names
div
optional: the number of divisions for the row and column variables for
use in calculations (can be left at 100)
plotit
should plots be produced? (defaults to TRUE)
Value
the matrix of div x div posterior probabilities that was plotted
Details
Note that the rows of the 2 x 2 matrix are assumed to represent the
"outcomes" and the columns the "treatments"---where these expressions
are applicable. Note also that to obtain properly labeled plots the
matrix has to be supplied with dimnames.
References
MacKay, D.J.C. 2003. Information Theory, Inference, and Learning
Algorithms. Cambridge University Press, Cambridge.
van Hulst, R. 2018. Evaluating Scientific Evidence. ms.