| mu.mbl.varknown {SampleSizeMeans} | R Documentation |
Bayesian sample size determination for estimating a single normal mean with known variance using the Mixed Bayesian/Likelihood criteria
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
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 lawrence.joseph@mcgill.ca and Patrick Bélisle
References
Joseph L, Bélisle 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
mu.mbl.varknown(len=0.2, lambda=1/4)