samplesize4surveys (version 4.1.1)

e4p: Statistical errors for the estimation of a single proportion

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.

Value

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

Details

We note that the coefficent of variation is defined as: $$cve = \frac{\sqrt{Var(\hat{p})}}{\hat{p}}$$ Also, note that the magin of error is defined as: $$\varepsilon = z_{1-\frac{\alpha}{2}}\sqrt{Var(\hat{p})}$$

References

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

See Also

ss4p

Examples

# NOT RUN {
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)
# }