The “ks.test” Function in R

• Package: Base R (no specific package required)

• Purpose: Performs the Kolmogorov-Smirnov test for comparing the distribution of a sample to a specified distribution.

• General Class: Statistical Testing

• Required Argument(s):

• x: A numeric vector of data values.

• Notable Optional Arguments:

• y: A character string indicating the distribution to which the sample is compared. Options include "pnorm", "pexp", and others.

• alternative: A character string specifying the alternative hypothesis. Options include "two.sided", "less", or "greater".

• ks.control: A list of control parameters for the Kolmogorov-Smirnov test.

• exact: A logical value indicating whether to compute an exact p-value for small sample sizes. The default is FALSE.

• Example:

• # Example data for a Kolmogorov-Smirnov test
  set.seed(123)
  sample_data <- rnorm(100)
  
  # Perform a Kolmogorov-Smirnov test
  result <- ks.test(sample_data, "pnorm", mean = 0, sd = 1)
  
  # Display the result
  print(result)

• In this example, the ks.test function is used to perform a Kolmogorov-Smirnov test comparing the distribution of a sample (sample_data) to a standard normal distribution. The result of the test, including the test statistic and p-value, is then printed to the console.