b4m {samplesize4surveys} | R Documentation |
Statistical power for a hyphotesis testing on a single mean
Description
This function computes the power for a (right tail) test of means.
Usage
b4m(N, n, mu, sigma, D, DEFF = 1, conf = 0.95, plot = FALSE)
Arguments
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. |
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 - \mu)}{\sqrt{\frac{1}{n}(1-\frac{n}{N})S^2}})
where
S^2 = DEFF \sigma^2
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
b4m(N = 100000, n = 400, mu = 3, sigma = 1, D = 3.1)
b4m(N = 100000, n = 400, mu = 5, sigma = 10, D = 7, plot = TRUE)
b4m(N = 100000, n = 400, mu = 50, sigma = 100, D = 100, DEFF = 3.4, conf = 0.99, plot = TRUE)