# ANSM5

The ANSM5 package provides a number of functions and data to
accompany the book “Applied Nonparametric Statistical Methods”, 5th
edition (Smeeton, Spencer & Sprent, 2024, Taylor Francis), the
revisions from the 4th edition including a move from describing the
output from a miscellany of statistical software packages to using R.
While the output from many of the functions can also be obtained using a
range of pre-existing R functions, this package provides functions in a
unified setting and give output using both p-values and confidence
intervals, exemplifying the book’s approach of treating p-values as a
guide to statistical importance and not an end product in their own
right.

## Installation

You can install the development version of ANSM5 like so:

```
# install.packages("devtools")
devtools::install_github("neilhspencer/ANSM5")
```

## Example

This is a basic example which shows you how to solve a common
problem:

```
library(ANSM5)
#From Example 3.1 in "Applied Nonparametric Statistical Methods" (5th edition)
sgn.test(ch3$sampleI, 110)
#>
#> Sign test for ch3$sampleI
#>
#> Null hypothesis: theta = 110
#> Alternative hypothesis (2-sided): theta != 110
#>
#> Exact p-value: 0.10937
#> Exact 95% Confidence Interval (97.852% achieved)
#> (11.00000, 151.00000)
#From Example 6.1 in "Applied Nonparametric Statistical Methods" (5th edition)
wilcoxon.mann.whitney(ch6$groupA, ch6$groupB)
#>
#> Wilcoxon-Mann-Whitney test for ch6$groupA and ch6$groupB
#>
#> H0: samples are from the same population
#> H1: samples differ in location
#>
#> Statistic for exact test:
#> 76 (rank sum from ch6$groupA), 155 (rank sum from ch6$groupB)
#> 21 (Mann-Whitney U from ch6$groupA), 89 (Mann-Whitney U from ch6$groupB)
#> Exact p-value: 0.01587
#> Exact 95% Confidence Interval
#> (-13.00000, -2.00000)
#From Example 7.6 in "Applied Nonparametric Statistical Methods" (5th edition)
friedman(ch7$pulse, ch7$time.period, ch7$student)
#>
#> Friedman test for ch7$pulse and ch7$time.period (as groups) with ch7$student (as blocks)
#>
#> H0: distributions of ch7$pulse are identical
#> H1: distributions differ
#>
#> Statistic for exact test: 10.57143
#> Exact p-value: 0.00272
```