tomogplot: Tomography Plot

In MCMCpack: Markov Chain Monte Carlo (MCMC) Package

Tomography Plot

Description

tomogplot is used to produce a tomography plot (see King, 1997) for a series of partially observed 2 x 2 contingency tables.

Usage

tomogplot(
  r0,
  r1,
  c0,
  c1,
  xlab = "fraction of r0 in c0 (p0)",
  ylab = "fraction of r1 in c0 (p1)",
  bgcol = "white",
  ...
)

Arguments

r0	An (ntables \times 1) vector of row sums from row 0.
r1	An (ntables \times 1) vector of row sums from row 1.
c0	An (ntables \times 1) vector of column sums from column 0.
c1	An (ntables \times 1) vector of column sums from column 1.
xlab	The x axis label for the plot.
ylab	The y axis label for the plot.
bgcol	The background color for the plot.
...	further arguments to be passed

Details

Consider the following partially observed 2 by 2 contingency table:

	| Y=0	| Y=1	|
---------	---------	---------	---------
X=0	| Y_0	|	| r_0
---------	---------	---------	---------
X=1	| Y_1	|	| r_1
---------	---------	---------	---------
	| c_0	| c_1	| N

where r_0, r_1, c_0, c_1, and N are non-negative integers that are observed. The interior cell entries are not observed. It is assumed that Y_0|r_0 \sim \mathcal{B}inomial(r_0, p_0) and Y_1|r_1 \sim \mathcal{B}inomial(r_1, p_1).

This function plots the bounds on the maximum likelihood estimatess for (p0, p1).

References

Gary King, 1997. A Solution to the Ecological Inference Problem. Princeton: Princeton University Press.

Jonathan C. Wakefield. 2004. “Ecological Inference for 2 x 2 Tables.” Journal of the Royal Statistical Society, Series A. 167(3): 385445.

See Also

MCMChierEI, MCMCdynamicEI, dtomogplot

Examples

r0 <- rpois(100, 500)
r1 <- rpois(100, 200)
c0 <- rpois(100, 100)
c1 <- (r0 + r1) - c0
tomogplot(r0, r1, c0, c1)

MCMCpack documentation built on Sept. 11, 2024, 8:13 p.m.