GammaModVar | R Documentation |
An R6 class for a model variable with Gamma uncertainty.
A model variable for which the uncertainty in the point estimate can
be modelled with a Gamma distribution. The hyperparameters of the
distribution are the shape (k
) and the scale (theta
). Note
that although Briggs et al (2006) use the shape, scale formulation,
they use alpha
, beta
as parameter names. Inherits from
class ModVar
.
rdecision::ModVar
-> GammaModVar
new()
Create an object of class GammaModVar
.
GammaModVar$new(description, units, shape, scale)
description
A character string describing the variable.
units
Units of the variable, as character string.
shape
shape parameter of the Gamma distribution.
scale
scale parameter of the Gamma distribution.
An object of class GammaModVar
.
is_probabilistic()
Tests whether the model variable is probabilistic, i.e., a random variable that follows a distribution, or an expression involving random variables, some of which follow distributions.
GammaModVar$is_probabilistic()
TRUE
if probabilistic
clone()
The objects of this class are cloneable with this method.
GammaModVar$clone(deep = FALSE)
deep
Whether to make a deep clone.
The Gamma model variable class can be used to model the uncertainty of
the mean of a count quantity which follows a Poisson distribution. The Gamma
distribution is the conjugate prior of a Poisson distribution, and the shape
and scale relate directly to the number of intervals from which the mean
count has been estimated. Specifically, the shape (k
) is equal to the
total count of events in 1/\theta
intervals, where \theta
is the
scale. For example, if 200 counts were observed in a sample of 100 intervals,
setting shape=200
and scale=1/100
gives a Gamma distribution
with a mean of 2 and a 95% confidence interval from 1.73 to 2.29.
Andrew J. Sims andrew.sims@newcastle.ac.uk
Briggs A, Claxton K, Sculpher M. Decision modelling for health economic evaluation. Oxford, UK: Oxford University Press; 2006.
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