e4S2: Statistical errors for the estimation of a single variance

In psirusteam/samplesize4surveys: Sample Size Calculations for Complex Surveys

Description

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

Usage

e4S2(N, n, K = 0, DEFF = 1, conf = 0.95, plot = FALSE)

Arguments

N	The population size.
n	The sample size.
K	The excess kurtosis of the variable in the population.
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 coefficient of variation is defined as:

cve = \frac{√{Var(\hat{S^2})}}{\hat{S^2}}

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

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

Value

The coefficient of variation and the 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

e4S2(N=10000, n=400, K = 0)
e4S2(N=10000, n=400, K = 1, DEFF = 2, conf = 0.99)
e4S2(N=10000, n=400, K = 2, DEFF = 2, conf = 0.99, plot=TRUE)

psirusteam/samplesize4surveys documentation built on Jan. 19, 2020, 10:30 a.m.