b4S2: Statistical power for a hyphotesis testing on a single...
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 variance

1	b4S2(N, n, S2, S20, K = 0, DEFF = 1, conf = 0.95, power = 0.8, plot = FALSE)

`N`	The population size.
`n`	The sample size.
`S2`	The value of the first estimated proportion.
`S20`	The value of the null effect. Note that `S2` must be strictly smaller than `S2`.
`K`	The excess kurtosis of the variable in the population.
`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`.
`power`	The statistical power. By default power = 0.80.
`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-P)}{√{\frac{DEFF}{n}(1-\frac{n}{N})(P (1-P))}})

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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b4S2(N = 100000, n = 400, S2 = 120, S20 = 100, K = 0, DEFF = 1)
b4S2(N = 100000, n = 400, S2 = 120, S20 = 100, K = 2, DEFF = 1)
b4S2(N = 100000, n = 400, S2 = 120, S20 = 100, K = 2, DEFF = 2.5, plot = TRUE)