aas_estima_total: Estimate the population total under simple random sampling...

In sampleone: Survey Sampling Methods for Teaching and Practice

Estimate the population total under simple random sampling (AAS)

Description

Estimates the population total \hat{\tau} = N \bar{x} from a simple random sample without replacement (Eq. 3.28.2-3.28.3 of the course notes). For the "with replacement" plan, the same expressions are used with f = 0.

Usage

aas_estima_total(x, N, reposicao = c("sem", "com"), conf = 0.95, ...)

Arguments

x	Numeric vector with the sample data.
N	Population size (required to scale the total).
reposicao	Either "sem" (without replacement, AASs – the default and the usual case in practice) or "com" (with replacement, AASc).
conf	Confidence level, default 0.95.
...	Ignored (see package overview on tolerated extra arguments).

Value

A sampling_result object with the estimated total, its variance, and confidence interval.

References

Cochran, W.G. (1977). Sampling Techniques, 3rd ed. Wiley, cap. 2 (extension not explicit in the course notes for AAS, but consistent with Eq. 3.28.3).

Examples

aas_estima_total(c(12, 30, 18), N = 300)

sampleone documentation built on Oct. 13, 2026, 5:07 p.m.