permTestSlope {CarletonStats}

Permutation test for the Slope

Description

Hypothesis test for a slope of a simple linear regression model. The null hypothesis is that the population slope is 0.

Usage

permTestSlope(x, ...)

## Default S3 method:
permTestSlope(
  x,
  y,
  B = 999,
  alternative = "two.sided",
  plot.hist = TRUE,
  plot.qq = FALSE,
  x.name = deparse(substitute(x)),
  y.name = deparse(substitute(y)),
  xlab = NULL,
  ylab = NULL,
  title = NULL,
  seed = NULL,
  ...
)

## S3 method for class 'formula'
permTestSlope(formula, data, subset, ...)

Arguments

x

a numeric vector.

...

further arguments to be passed to or from methods.

y

a numeric vector.

B

the number of resamples to draw (positive integer greater than 2).

alternative

alternative hypothesis. Options are "two.sided", "less" or "greater".

plot.hist

a logical value. If TRUE, plot the distribution of the slopes obtained from each resample.

plot.qq

a logical value. If TRUE, plot the normal quantile-quantile plot of the slopes obtained from each resample.

x.name

Label for variable x

y.name

Label for variable y

xlab

an optional character string for the x-axis label

ylab

an optional character string for the y-axis label

title

an optional character string giving the plot title

seed

optional argument to set.seed

formula

a formula y ~ x where x, y are numeric vectors.

data

a data frame that contains the variables given in the formula.

subset

an optional expression indicating what observations to use.

Details

Perform a permutation test to test latex, where latexis the population slope. The rows of the second variable are permuted and the slope is re-computed.

The mean and standard error of the permutation distribution is printed as well as a P-value.

Observations with missing values are removed.

Value

Returns invisibly a vector of the slopes obtained by the randomization.

Methods (by class)

• permTestSlope(default): Permutation test for the slope

• permTestSlope(formula): Permutation test for the slope

Author(s)

Adam Loy, Laura Chihara

References

Tim Hesterberg's website: https://www.timhesterberg.net/bootstrap-and-resampling

Examples

plot(states03$HSGrad, states03$TeenBirths)
lm(HSGrad ~ TeenBirths, data = states03)

permTestSlope(states03$HSGrad, states03$TeenBirths)
permTestSlope(TeenBirths ~ HSGrad, data = states03)