mu.mbl.varknown: Bayesian sample size determination for estimating a single...

Description Usage Arguments Details Value Note Author(s) References See Also Examples

Description

The function mu.mbl.varknown returns the required sample size to reach a desired posterior credible interval length and coverage probability for a normal mean - using a mixed Bayesian/likelihood approach - when the variance is known.

Usage

1
mu.mbl.varknown(len, lambda, level = 0.95)

Arguments

len

The desired total length of the posterior credible interval for the mean

lambda

The known precision (reciprocal of variance)

level

The desired coverage probability of the posterior credible interval (e.g., 0.95)

Details

Assume that a sample will be collected in order to estimate the mean of a normally distributed random variable with known precision lambda (where the precision is the reciprocal of the variance). The function mu.mbl.varknown returns the required sample size to attain the desired length len and coverage probability level for the posterior credible interval for the unknown mean.

This function uses a Mixed Bayesian/Likelihood (MBL) approach. MBL approaches use the prior information to derive the predictive distribution of the data, but use only the likelihood function for final inferences. This approach is intended to satisfy investigators who recognize that prior information is important for planning purposes but prefer to base final inferences only on the data.

Value

The required sample size given the inputs to the function.

Note

The sample size returned by this function is exact.

Author(s)

Lawrence Joseph [email protected] and Patrick Belisle

References

Joseph L, Belisle P.
Bayesian sample size determination for Normal means and differences between Normal means
The Statistician 1997;46(2):209-226.

See Also

mu.mblacc, mu.mblalc, mu.mblmodwoc, mu.varknown, mu.acc, mu.alc, mu.modwoc, mu.freq, mudiff.mbl.varknown, mudiff.mblacc, mudiff.mblalc, mudiff.mblmodwoc, mudiff.mblacc.equalvar, mudiff.mblalc.equalvar, mudiff.mblmodwoc.equalvar, mudiff.varknown, mudiff.acc, mudiff.alc, mudiff.modwoc, mudiff.acc.equalvar, mudiff.alc.equalvar, mudiff.modwoc.equalvar, mudiff.freq

Examples

1
mu.mbl.varknown(len=0.2, lambda=1/4)

SampleSizeMeans documentation built on May 29, 2017, 9:32 a.m.