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

 klefsjo.ifra R Documentation

## Klefsjo's IFRA

### Description

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

### Usage

``````klefsjo.ifra (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, ifra and dfra 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:

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

Rachel Becvarik

### Examples

``````velocity<-c(12.8, 12.9, 13.3, 13.4, 13.7, 13.8, 14.5)
klefsjo.ifra(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.ifra(tb, exact=TRUE)
``````

NSM3 documentation built on Sept. 8, 2023, 5:52 p.m.