b4dp: Statistical power for a hyphotesis testing on a difference of...

In samplesize4surveys: Sample Size Calculations for Complex Surveys

Description

This function computes the power for a (right tail) test of difference of proportions.

Usage

b4dp(N, n, P1, P2, D, DEFF = 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.
D	The value of the null effect.
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.

Details

We note that the power is defined as:

1-Φ(Z_{1-α} - \frac{(D - (P_1 - P_2))}{√{\frac{DEFF}{n}(1-\frac{n}{N})(P_1Q_1+P_2Q_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

ss4p

Examples

b4dp(N = 100000, n = 400, P1 = 0.5, P2 = 0.5, D = 0.03)
b4dp(N = 100000, n = 400, P1 = 0.5, P2 = 0.5, D = 0.03, plot = TRUE)
b4dp(N = 100000, n = 4000, P1 = 0.5, P2 = 0.5, D = 0.05, DEFF = 2, conf = 0.99, plot = TRUE)

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