Sampling Mean Estimation

The function Smean estimates the population mean out of simple samples either with or without consideration of finite population correction.

Smean(y, N = Inf, level = 0.95)

Arguments

y	vector of sample data
N	positive integer specifying population size. Default is N=Inf, which means that calculations are carried out without finite population correction.
level	coverage probability for confidence intervals. Default is level=0.95.

Value

The function Smean returns a value, which is a list consisting of the components

call

is a list of call components: y vector with sample data, n sample size, N population size, level coverage probability for confidence intervals

mean

mean estimate

se

standard error of the mean estimate

ci

vector of confidence interval boundaries

References

Kauermann, Goeran/Kuechenhoff, Helmut (2010): Stichproben. Methoden und praktische Umsetzung mit R. Springer.

Author

Juliane Manitz

See also

Sprop, sample.size.mean

Examples

data(pop)
Y <- pop$Y
Y
#> [1]  9 10 11 18 22
# Draw a random sample of size=3
set.seed(93456)
y <- sample(x = Y, size = 3)
sort(y)
#> [1]  9 11 22
# Estimation with infiniteness correction
est <- Smean(y = y, N = length(pop$Y))
est
#> 
#> Smean object: Sample mean estimate
#> With finite population correction: N=5
#> 
#> Mean estimate: 14
#> Standard error: 2.556
#> 95% confidence interval: [8.9903,19.0097]
#>