DescTools (version 0.99.60)

MeanCIn: Sample Size for a Given Width of a Confidence Interval for a Mean

Description

Returns the required sample size to obtain a given width of a confidence interval for the sample mean. The function uses uniroot() to find a numeric solution. The t distribution is used.

Usage

MeanCIn(ci, sd, interval = c(2, 100000), conf.level = 0.95, 
        norm = FALSE, tol = .Machine$double.eps^0.5)

Value

a numeric value

Arguments

ci

the left and right bound of the interval, which is presumed to be symmetric.

sd

the standard deviation of the sample.

interval

the interval for the sample size to be searched into, (default is c(2, 100000)).

conf.level

confidence level, defaults to 0.95.

norm

logical, determining if the t- or normaldistribution should be used.

tol

the desired accuracy (convergence tolerance).

Author

Andri Signorell <[email protected]>

Details

The required sample sizes for a specific width of confidence interval for the mean depends recursively on the sample size, as the samplesize defines the degrees of freedom in the t-distribution. Although in most practical cases it will be sufficient to use the normal distribution, we might be interested in exact results.

See Also

BinomCIn()

Examples

MeanCIn(ci=c(25, 27), sd=5)