reg_estima_media: Regression estimator of the population mean

In sampleone: Survey Sampling Methods for Teaching and Practice

Regression estimator of the population mean

Description

Estimates the population mean using the regression estimator (Eq. 7.22-7.25 of the course notes), which uses a known population mean X_barra of an auxiliary variable correlated with y.

Usage

reg_estima_media(x, y, X_barra, N = NULL, conf = 0.95, ...)

Arguments

x	Numeric vector with the auxiliary variable.
y	Numeric vector with the variable of interest.
X_barra	Known population mean of the auxiliary variable.
N	Optional population size, used for the finite-population correction f = n/N. If NULL, f = 0 is assumed.
conf	Confidence level, default 0.95.
...	Ignored (see package overview on tolerated extra arguments).

Value

A sampling_result object with the regression-estimated mean, its variance, and confidence interval.

Examples

x <- c(39, 43, 21, 64, 57, 47, 28, 75, 34, 52)
y <- c(65, 78, 52, 82, 92, 89, 73, 98, 56, 75)
reg_estima_media(x, y, X_barra = 52, N = 486)

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