Description Usage Arguments Details Value References See Also Examples

Provides 1-sided or 2-sided tolerance intervals for data distributed according to either a normal distribution or log-normal distribution.

1 2 3 | ```
normtol.int(x, alpha = 0.05, P = 0.99, side = 1,
method = c("HE", "HE2", "WBE", "ELL", "KM",
"EXACT", "OCT"), m = 50, log.norm = FALSE)
``` |

`x` |
A vector of data which is distributed according to either a normal distribution or a log-normal distribution. |

`alpha` |
The level chosen such that |

`P` |
The proportion of the population to be covered by this tolerance interval. |

`side` |
Whether a 1-sided or 2-sided tolerance interval is required (determined by |

`method` |
The method for calculating the k-factors. The k-factor for the 1-sided tolerance intervals
is performed exactly and thus is the same for the chosen method. |

`m` |
The maximum number of subintervals to be used in the |

`log.norm` |
If |

Recall that if the random variable *X* is distributed according to a log-normal distribution, then the random variable *Y = ln(X)* is
distributed according to a normal distribution.

`normtol.int`

returns a data frame with items:

`alpha` |
The specified significance level. |

`P` |
The proportion of the population covered by this tolerance interval. |

`x.bar` |
The sample mean. |

`1-sided.lower` |
The 1-sided lower tolerance bound. This is given only if |

`1-sided.upper` |
The 1-sided upper tolerance bound. This is given only if |

`2-sided.lower` |
The 2-sided lower tolerance bound. This is given only if |

`2-sided.upper` |
The 2-sided upper tolerance bound. This is given only if |

Howe, W. G. (1969), Two-Sided Tolerance Limits for Normal Populations - Some Improvements, *Journal of the
American Statistical Association*, **64**, 610–620.

Wald, A. and Wolfowitz, J. (1946), Tolerance Limits for a Normal Distribution, *Annals of Mathematical Statistics*,
**17**, 208–215.

Weissberg, A. and Beatty, G. (1969), Tables of Tolerance Limit Factors for Normal Distributions, *Technometrics*,
**2**, 483–500.

1 2 3 4 5 6 7 8 9 10 11 12 | ```
## 95%/95% 2-sided normal tolerance intervals for a sample
## of size 100.
set.seed(100)
x <- rnorm(100, 0, 0.2)
out <- normtol.int(x = x, alpha = 0.05, P = 0.95, side = 2,
method = "HE", log.norm = FALSE)
out
plottol(out, x, plot.type = "both", side = "two",
x.lab = "Normal Data")
``` |

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.