e4m: Statistical errors for the estimation of a single mean
In samplesize4surveys: Sample Size Calculations for Complex Surveys

Description Usage Arguments Details Value Author(s) References See Also Examples

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

1	e4m(N, n, mu, sigma, DEFF = 1, conf = 0.95, plot = FALSE)

`N`	The population size.
`n`	The sample size.
`mu`	The value of the estimated mean of the variable of interest.
`sigma`	The value of the standard deviation of the variable of interest.
`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.

We note that the coefficent of variation is defined as:

cve = \frac{√{Var(\bar{y}_S)}}{\bar{y}_S}

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

\varepsilon = z_{1-\frac{α}{2}}√{Var(\bar{y}_S)}

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

Hugo Andres Gutierrez Rojas <hagutierrezro at gmail.com>

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

ss4p

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e4m(N=10000, n=400, mu = 10, sigma = 10)
e4m(N=10000, n=400, mu = 10, sigma = 10, plot=TRUE)
e4m(N=10000, n=400, mu = 10, sigma = 10, DEFF=3.45, conf=0.99, plot=TRUE)