R: Functions to compute and display ICE Acceptability Curves
Functions to compute and display ICE Acceptability Curves
ICEalice() computes statistics for the VAGR Acceptability Curve and for the
Buckingham ALICE curve. Plots for the resulting ICEalice object are of two types:
 a VAGR curve where the horizontal axis is the Willingness to Pay (WTP) ICE Ratio,
and  a monotone ALICE curve where the horizontal axis is the Absolute Value of
the ICE Polar Angle, which varies from +45 degrees to +135 degrees. Printing an
ICEalice object yields a 13 x 5 table (matrix) of numerical values for Absolute
ICEangle, WTP, VAGR Acceptability, WTA and ALICE acceptability, respectively.
An object of class ICEwedge.
The VAGR Acceptability Curve displays the fraction of outcomes within the Bootstrap
distribution of ICE Uncertainty that lie below and/or to the right of a rotating
straight line through the origin of the ICE plane. This straight line starts out
horizontal, representing lambda = WTP = 0, and rotates counter-clockwise until it
becomes vertical, representing lambda = WTP = +Inf.
The Buckingham ALICE Curve assumes that lambra is held fixed. It displays the fraction
of outcomes within the Bootstrap distribution of ICE Uncertainty that lie on or between
a pair of rotating ICE rays (eminating from the ICE origin) with slopes representing
KINKed values of WTP < WTA that always satisfy Obenchain's LINK function, lambda =
sqrt(WTP*WTA), with lambda held fixed. The right-hand ray for WTP starts out horizontal
and pointing to the right, then rotates counter-clockwise until it is vertical, as in a
VAGR curve. The left-hand ray for WTA starts out vertical and pointing downwards, then
rotates clockwise until it is horizontal. Since lambda is held fixed, the slopes of
the rotating rays corresponding to decreasing WTA as WTP increases. The starting point
of an ALICE curve at an Absolute ICE Angle of 45 degrees always represents the fraction
of outcomes in the Bootstrap Distribution of ICE Uncertainty for which the new treatment
is both less costly AND more effective than the std treatment. The ending point of an
ALICE curve at an Absolute ICE Angle of 135 degrees always represents the fraction of
outcomes in the Bootstrap Distribution of ICE Uncertainty for which the new treatment
is either less costly OR more effective than the std treatment. The middle point of an
ALICE curve at an Absolute ICE Angle of 90 degrees represents the fraction of outcomes
in the Bootstrap Distribution of ICE Uncertainty falling below and/or to the right of the
straight line through the ICE origin of slope lambda = WTP = WTA.
Objects of class ICEalice contain the following output list:
Positive numerical value for the Shadow Price of Health, lambda
Common unit of measurement of either cost or effe.
R x 1 Vector of Sorted ICE Angles. Default value of R = 25000.
13 x 5 Matrix of Absolute ICEangle, WTP, VAGR Acceptability, WTA and
Bob Obenchain <firstname.lastname@example.org>
Van Hout BA, Al MJ, Gordon GS, Rutten FFH. Costs, effects and C/E ratios alongside a
clinical trial. (VAGR curve) Health Economics 1994; 3: 309-319.
Buckingham K. Personal communications including a draft manuscript entitled:
Representing the cumulative probability of Acceptability Levels In Cost Effectiveness.
(ALICE curve) 2003.
Fenwick E, O'Brien BJ, Briggs AH. Cost-effectiveness acceptability curves - facts,
fallacies and frequently asked questions. Health Economics 2004; 13: 405-415.
Obenchain RL. ICE Preference Maps: Nonlinear Generalizations of Net Benefit and Acceptability.
Health Serv Outcomes Res Method 2008; 8: 31-56. DOI 10.1007/s10742-007-0027-2.
Obenchain RL. ICEinR.pdf Vignette-like documentation for ICEinfer
stored in the R library/ICEinfer/doc folder. 2009; 30 pages.
ICEwedge and ICEcolor
# Read in previously computed ICEwedge output list.
dpacc <- ICEalice(dpwdg)
# Display VAGR and ALICE acceptability curves.
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.
R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.
Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.
Loading required package: lattice
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/ICEinfer/ICEalice.Rd_%03d_medium.png", width=480, height=480)
> ### Name: ICEalice
> ### Title: Functions to compute and display ICE Acceptability Curves
> ### Aliases: ICEalice
> ### Keywords: methods
> ### ** Examples
> # Read in previously computed ICEwedge output list.
> dpacc <- ICEalice(dpwdg)
> # Display VAGR and ALICE acceptability curves.
Created & Maintained by Osamu Ogasawara (email@example.com) and