CarletonStats (version 2.2)

permTestPaired: Permutation test for paired data.

Description

Permutation test for paired data.

Usage

permTestPaired(x, ...)
# S3 method for default
permTestPaired(
  x,
  y,
  B = 9999,
  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 formula
permTestPaired(formula, data, subset, ...)

Value

Returns invisibly a vector of the replicates of the test statistic (ex. mean of the difference of the resampled variables).

Arguments

x

a numeric vector.

...

further arguments to be passed to or from methods.

y

a numeric vector.

B

the number of resamples.

alternative

the alternative hypothesis. Options are "two.sided", "less" and "greater".

plot.hist

a logical value. If TRUE, create a histogram displaying the permutation distribution of the statistic.

plot.qq

a logical value. If TRUE, include a quantile-normal plot of the permuation distribution.

x.name

Label for x variable

y.name

Label for y variable

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 of the form y ~ x, where x, y are both numeric variables.

data

an optional data frame containing the variables in the formula. By default the variables are taken from environment(formula).

subset

an optional vector specifying a subset of observations to be used.

Methods (by class)

• permTestPaired(default): Permutation test for paired data.

• permTestPaired(formula): Permutation test for paired data.

Author

Laura Chihara

Details

For two paired numeric variables with n rows, randomly select k of the n rows (k also is randm) and switch the entries \(latex\) and then compute the mean of the difference of the two variables (y-x).

Observations with missing values are removed.

References

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

Examples

#Does chocolate ice cream have more calories than vanilla ice cream, on average?
#H0: mean number of calories is the same
#HA: mean number of calories is greater in chocolate ice cream

permTestPaired(Icecream$VanillaCalories, Icecream$ChocCalories, alternative = "less")
permTestPaired(ChocCalories ~ VanillaCalories, data = Icecream, alternative = "greater")