b4p {samplesize4surveys} | R Documentation |
Statistical power for a hyphotesis testing on a single proportion
Description
This function computes the power for a (right tail) test of proportions.
Usage
b4p(N, n, P, D, DEFF = 1, conf = 0.95, plot = FALSE)
Arguments
N |
The population size. |
n |
The sample size. |
P |
The value of the first estimated proportion. |
D |
The value of the null effect. Note that |
DEFF |
The design effect of the sample design. By default |
conf |
The statistical confidence. By default |
plot |
Optionally plot the power achieved for an specific sample size. |
Details
We note that the power is defined as:
1-\Phi(Z_{1-\alpha} - \frac{(D-P)}{\sqrt{\frac{DEFF}{n}(1-\frac{n}{N})(P (1-P))}})
Value
The power of the test.
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
Examples
b4p(N = 100000, n = 400, P = 0.5, D = 0.55)
b4p(N = 100000, n = 400, P = 0.5, D = 0.9, plot = TRUE)
b4p(N = 100000, n = 4000, P = 0.5, D = 0.55, DEFF = 2, conf = 0.99, plot = TRUE)