e4dp: Statistical errors for the estimation of a difference of...

In samplesize4surveys: Sample Size Calculations for Complex Surveys

Description

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

Usage

e4dp(N, n, P1, P2, DEFF = 1, T = 0, R = 1, conf = 0.95, plot = FALSE)

Arguments

N	The population size.
n	The sample size.
P1	The value of the first estimated proportion.
P2	The value of the second estimated proportion.
DEFF	The design effect of the sample design. By default DEFF = 1, which corresponds to a simple random sampling design.
T	The overlap between waves. By default T = 0.
R	The correlation between waves. By default R = 1.
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 margin of error is defined as:

cve = \frac{√{Var(\hat{P}_1 - \hat{P}_2) }}{\hat{P}_1 - \hat{P}_2}

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

\varepsilon = z_{1-\frac{α}{2}}√{Var(\hat{P}_1 - \hat{P}_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

e4dp(N=10000, n=400, P1=0.5, P2=0.6)
e4dp(N=10000, n=400, P1=0.5, P2=0.6, plot=TRUE)
e4dp(N=10000, n=400, P1=0.5, P2=0.6, DEFF=3.45, conf=0.99, plot=TRUE)
e4dp(N=10000, n=400, P1=0.5, P2=0.6, T=0.5, R=0.5, DEFF=3.45, conf=0.99, plot=TRUE)

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