Description Usage Arguments Value Note References Examples

This function allows the user to control what proportion of the population is to be in the tails of the given distribution for a 2-sided tolerance interval. The result is a conservative approximation based on Bonferroni's inequality.

1 | ```
bonftol.int(fn, P1 = 0.005, P2 = 0.005, alpha = 0.05, ...)
``` |

`fn` |
The function name for the 2-sided tolerance interval to be calculated. |

`P1` |
The proportion of the population not covered in the lower tail of the distribution. |

`P2` |
The proportion of the population not covered in the upper tail of the distribution. |

`alpha` |
The level chosen such that |

`...` |
Additional arguments passed to |

The results for the 2-sided tolerance interval procedure are reported. See the corresponding help file for `fn`

about
specific output. Note that the (minimum) proportion of the population to be covered by this interval is `1 - (P1 + P2)`

.

This function can be used with any 2-sided tolerance interval function, including the regression tolerance interval functions.

Jensen, W. A. (2009), Approximations of Tolerance Intervals for Normally Distributed Data, *Quality and Reliability
Engineering International*, **25**, 571–580.

Patel, J. K. (1986), Tolerance Intervals - A Review, *Communications in Statistics - Theory and Methodology*,
**15**, 2719–2762.

1 2 3 4 5 6 7 8 9 | ```
## 95%/97% tolerance interval for normally distributed
## data controlling 1% of the data is in the lower tail
## and 2% of the data in the upper tail.
set.seed(100)
x <- rnorm(100, 0, 0.2)
bonftol.int(normtol.int, x = x, P1 = 0.01, P2 = 0.02,
alpha = 0.05, method = "HE")
``` |

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