power.SLR.rho: Power for testing slope for simple linear regression

In powerMediation: Power/Sample Size Calculation for Mediation Analysis

Description

Calculate power for testing slope for simple linear regression.

Usage

power.SLR.rho(n, 
              rho2, 
              alpha = 0.05, 
              verbose = TRUE)

Arguments

n	sample size.
rho2	square of the correlation between the outcome and the predictor.
alpha	type I error rate.
verbose	logical. TRUE means printing power; FALSE means not printing power.

Details

The power is for testing the null hypothesis λ=0 versus the alternative hypothesis λ\neq 0 for the simple linear regressions:

y_i=γ+λ x_i + ε_i, ε_i\sim N(0, σ^2_{e})

Value

power	power for testing if b_2=0.
delta	√{n}/√{1/ρ^2-1}.

Note

The test is a two-sided test. For one-sided tests, please double the significance level. For example, you can set alpha=0.10 to obtain one-sided test at 5% significance level.

Author(s)

Weiliang Qiu [e-mail]

References

Dupont, W.D. and Plummer, W.D.. Power and Sample Size Calculations for Studies Involving Linear Regression. Controlled Clinical Trials. 1998;19:589-601.

See Also

minEffect.SLR, power.SLR, ss.SLR.rho, ss.SLR.

Examples

  power.SLR.rho(n=100, rho2=0.6, alpha = 0.05, verbose = TRUE)

powerMediation documentation built on March 24, 2021, 1:06 a.m.