# klefsjo.ifr: Klefsjo's IFR In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

## Description

Function to compute the P-value for the observed Klefsjo's A* statistic.

## Usage

 `1` ```klefsjo.ifr (x, alternative = "two.sided", exact=FALSE) ```

## Arguments

 `x` a vector of data of length n `alternative` the direction of the alternative hypothesis. The choices are two.sided, ifr and dfr with the default value being two.sided. `exact` TRUE/FALSE value that determines whether the exact test or the large sample approximation is used if n >= 9. If n < 9 the exact test is used. The default value is FALSE, so the large sample approximation will be used unless specified not to.

## Details

If the sample size is too large to allow for an exact value, due to duplicate coefficients, a note will be displayed and the large sample approximation will be used.

## Value

The function returns a list with two elements:

 `A.star` the value of the Klefsjo statistic `p` the corresponding probability

Rachel Becvarik

## Examples

 ```1 2 3 4 5 6 7 8 9``` ```velocity<-c(12.8, 12.9, 13.3, 13.4, 13.7, 13.8, 14.5) klefsjo.ifr(velocity) #Example of forced Large Sample Approximation tb<-c(43, 45, 53, 56, 56, 57, 58, 66, 67, 73, 74, 79, 80, 80, 81, 81, 81, 82, 83, 83, 84, 88, 89, 91, 91, 92, 92, 97, 99, 99, 100, 100, 101, 102, 102, 102, 103, 104, 107, 108, 109, 113, 114, 118, 121, 123, 126, 128, 137, 138, 139, 144, 145, 147, 156, 162, 174, 178, 179, 184, 191, 198, 211, 214, 243, 249, 329, 380, 403, 511, 522, 598) klefsjo.ifr(tb, exact=TRUE) ```

NSM3 documentation built on April 6, 2021, 5:05 p.m.