e4p: Statistical errors for the estimation of a single proportion

In samplesize4surveys: Sample Size Calculations for Complex Surveys

Description

This function computes the cofficient of variation and the standard error when estimating a single proportion under a sample design.

Usage

e4p(N, n, P, DEFF = 1, conf = 0.95, plot = FALSE)

Arguments

N	The population size.
n	The sample size.
P	The value of the estimated proportion.
DEFF	The design effect of the sample design. By default DEFF = 1, which corresponds to a simple random sampling design.
conf	The statistical confidence. By default conf = 0.95.
plot	Optionally plot the errors (cve and margin of error) against the sample size.

Details

We note that the coefficent of variation is defined as:

cve = \frac{√{Var(\hat{p})}}{\hat{p}}

Also, note that the magin of error is defined as:

\varepsilon = z_{1-\frac{α}{2}}√{Var(\hat{p})}

Value

The coefficient of variation, the margin of error and the relative margin of error for a predefined sample size.

Author(s)

Hugo Andres Gutierrez Rojas <hagutierrezro at gmail.com>

References

Gutierrez, H. A. (2009), Estrategias de muestreo: Diseno de encuestas y estimacion de parametros. Editorial Universidad Santo Tomas

See Also

ss4p

Examples

e4p(N=10000, n=400, P=0.5)
e4p(N=10000, n=400, P=0.5, plot=TRUE)
e4p(N=10000, n=400, P=0.01, DEFF=3.45, conf=0.99, plot=TRUE)

samplesize4surveys documentation built on Jan. 18, 2020, 1:11 a.m.