bs.test {bsgof} | R Documentation |

## The Birnbaum-Saunders goodness-of-fit test from the probability plot

### Description

Performs goodness-of-fit test for the Birnbaum-Saunders distribution

### Usage

```
bs.test(x, a)
bs.test.pvalue(r, n)
bs.test.critical(alpha, n)
```

### Arguments

`x` |
a numeric vector of data values. Missing values are allowed, but the number of non-missing values must be between 3 and 1000. |

`a` |
the offset fraction to be used; typically in (0,1). See |

`r` |
the sample correlation coefficient from the Birnbaum-Saunders probability plot; r is in (0,1). |

`n` |
the sample size. |

`alpha` |
the significance level. |

### Details

Using the sample correlation coefficeint from the Birnbaum-Saunders probability plot, it performs the goodness fit test for the Birnbaum-Saunders distribution.

### Value

A list with class "htest" containing the following components:

`statistic` |
the value of the test statistic (sample correlation from the Birnbaum-Saunders probability plot) |

`p.value` |
the p-value for the test. |

`sample.size` |
sample size (missing observations are deleted). |

`method` |
a character string indicating the goodness fit test for the Birnbaum-Saunders distribution. |

`data.name` |
a character string giving the name(s) of the data. |

### Author(s)

Chanseok Park

### References

Park, C. and M. Wang (2023).
A goodness-of-fit test for the Birnbaum-Saunders distribution based on the probability plot.
*ArXiv e-prints*, 2308.10150.

doi: 10.48550/arXiv.2308.10150

### See Also

`ks.test`

for performing a one- or two-sample Kolmogorov-Smirnov test.

`shapiro.test`

for performing the Shapiro-Wilk test of normality.

`wp.test`

{weibullness} for performing the Weibullness test.

### Examples

```
# For the goodness of fit test
x = c(1.2, 2.0, 3.3)
bs.test(x)
# p.value with r (sample correlation from the probability plot) and n (sample size) are given
bs.test.pvalue(r=0.6, n=10)
# Critical value with alpha (significane level) and n (sample size).
bs.test.critical(alpha=0.01, n=10)
```

*bsgof*version 0.23.8 Index]