qInverseTau2 {CNPBayes} | R Documentation

## Quantiles, shape, and rate of the prior for the inverse of tau2 (the precision)

### Description

The precision prior for tau2 in the hiearchical model is given by gamma(shape, rate). The shape and rate are a function of the hyperparameters eta.0 and m2.0. Specifically, shape=1/2*eta.0 and the rate=1/2*eta.0*m2.0. Quantiles for this distribution and the shape and rate can be obtained by specifying the hyperparameters eta.0 and m2.0, or alternatively by specifying the desired mean and standard deviation of the precisions.

### Usage

    qInverseTau2(eta.0 = 1800, m2.0 = 100, mn, sd)

### Arguments

`eta.0` | hyperparameter for precision
`m2.0` | hyperparameter for precision
`mn` | mean of precision
`sd` | standard deviation of precision

### Value

a list with elements 'quantiles', 'eta.0', 'm2.0', 'mean', and 'sd'

### Examples

    results <- qInverseTau2(mn=100, sd=1)
    precision.quantiles <- results$quantiles
    sd.quantiles <- sqrt(1/precision.quantiles)
    results$mean
    results$sd
    results$eta.0
    results$m2.0

    results2 <- qInverseTau2(eta.0=1800, m2.0=100)

    ## Find quantiles from the default set of hyperparameters
    hypp <- Hyperparameters(type="batch")
    results3 <- qInverseTau2(eta.0(hypp), m2.0(hypp))
    default.precision.quantiles <- results3$quantiles

[Package CNPBayes version 1.12.0 Index]