slr: Power calculation for a simple linear regression

In powertools: Power and Sample Size Tools

Power calculation for a simple linear regression

Description

Performs sample size and power calculations for a simple linear regression. Can solve for power, N or alpha. Required inputs include the values of the slope regression coefficient under the null hypothesis and the alternative, the variance of the covariate X, and the SD of the error. Power calculations for a simple linear regression can also be conducted using the mlrF.overall function, which requires fewer inputs.

Usage

slr(
  N = NULL,
  beta10 = 0,
  beta1A = NULL,
  var.x = NULL,
  sigma.e = NULL,
  alpha = 0.05,
  power = NULL,
  sides = 2,
  v = FALSE
)

Arguments

N	The sample size.
beta10	The slope regression coefficient under the null hypothesis; defaults to 0.
beta1A	The slope regression coefficient under the alternative hypothesis.
var.x	The variance of the covariate X.
sigma.e	The standard deviation of the error terms.
alpha	The significance level (type 1 error rate); defaults to 0.05.
power	The specified level of power.
sides	Either 1 or 2 (default) to specify a one- or two- sided hypothesis test.
v	Either TRUE for verbose output or FALSE (default) to output computed argument only.

Value

A list of the arguments (including the computed one).

Examples

# Yi = beta0 + beta1 * Xi + ei, i = 1,...,N
slr(N = 100, beta10 = 1, beta1A = 1.5, var.x = 25, sigma.e = 10, sides = 1)

powertools documentation built on April 4, 2025, 5:02 a.m.