BayesGOF (version 5.2)

DS.micro.inf: MicroInference for DS Prior Objects

Description

Provides DS nonparametric adaptive Bayes and parametric estimate for a specific observation \(y_0\).

Usage

DS.micro.inf(DS.GF.obj, y.0, n.0, e.0 = NULL)

Arguments

DS.GF.obj

Object resulting from running DS.prior function on a data set.

y.0

For Binomial family, number of success \(y_i\) for new study. In the Poisson family, it is the number of counts. Represents the study mean for the Normal family.

n.0

For the Binomial family, the total number of trials for the new study. In the Normal family, n.0 is the standard error of y.0. Not used for the Poisson family.

e.0

In the case of the Poisson family with exposure, represents the exposure value for a given count value y.0.

Value

DS.mean

Posterior mean for \(\pi_{LP}(\theta | y_0)\).

DS.mode

Posterior mode for \(\pi_{LP}(\theta | y_0)\).

PEB.mean

Posterior mean for \(\pi_G(\theta | y_0)\).

PEB.mode

Posterior mode for \(\pi_G(\theta | y_0)\).

post.vec

Vector containing PEB.mean, DS.mean, PEB.mode, and DS.mode.

study

User-provided \(y_0\) and \(n_0\).

post.fit

Dataframe with \(\theta\), \(\pi_G(\theta | y_0)\), and \(\pi_{LP}(\theta | y_0)\).

Details

Returns an object of class DS.GF.micro that can be used in conjunction with plot command to display the DS posterior distribution for the new study.

References

Mukhopadhyay, S. and Fletcher, D., 2018. "Generalized Empirical Bayes via Frequentist Goodness of Fit," Nature Scientific Reports, 8(1), p.9983, https://www.nature.com/articles/s41598-018-28130-5 .

Examples

# NOT RUN {
### MicroInference for Naval Shipyard Data: sample where y = 0 and n = 5
data(ship)
ship.ds <- DS.prior(ship, max.m = 2, c(.5,.5), family = "Binomial")
ship.ds.micro <- DS.micro.inf(ship.ds, y.0 = 0, n.0 = 5)
ship.ds.micro
plot(ship.ds.micro)
# }