b4m: Statistical power for a hyphotesis testing on 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 power for a (right tail) test of means.

1	b4m(N, n, mu, sigma, D, 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.
`D`	The value of the null effect. Note that `D` must be strictly greater than `mu`.
`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 power achieved for an specific sample size.

We note that the power is defined as:

1-Φ(Z_{1-α} - \frac{(D - μ)}{√{\frac{1}{n}(1-\frac{n}{N})S^2}})

where

S^2 = DEFF σ^2

The power of the test.

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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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)