Description Usage Arguments Value Note References See Also Examples

Estimates k-factors for tolerance intervals based on normality.

1 2 3 |

`n` |
The (effective) sample size. |

`f` |
The number of degrees of freedom associated with calculating the estimate of the population standard deviation.
If |

`alpha` |
The level chosen such that |

`P` |
The proportion of the population to be covered by the 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 |

`K.factor`

returns the k-factor for tolerance intervals based on normality with the arguments specified above.

For larger sample sizes, there may be some accuracy issues with the 1-sided calculation since it depends on the noncentral t-distribution.
The code is primarily intended to be used for moderate values of the noncentrality parameter. It will not be highly accurate, especially in the tails, for large values.
See `TDist`

for further details.

Ellison, B. E. (1964), On Two-Sided Tolerance Intervals for a Normal Distribution, *Annals of Mathematical
Statistics*, **35**, 762–772.

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

Krishnamoorthy, K. and Mathew, T. (2009), *Statistical Tolerance Regions: Theory, Applications, and Computation*, Wiley.

Odeh, R. E. and Owen, D. B. (1980), *Tables for Normal Tolerance Limits, Sampling Plans, and Screening*, Marcel-Dekker.

Owen, D. B. (1964), Controls of Percentages in Both Tails of the Normal Distribution, *Technometrics*, **6**, 377-387.

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

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

`integrate`

, `K.table`

, `normtol.int`

, `TDist`

1 2 3 4 5 6 7 8 9 10 11 | ```
## Showing the effect of the Howe, Weissberg-Beatty,
## and exact estimation methods as the sample size increases.
K.factor(10, P = 0.95, side = 2, method = "HE")
K.factor(10, P = 0.95, side = 2, method = "WBE")
K.factor(10, P = 0.95, side = 2, method = "EXACT", m = 50)
K.factor(100, P = 0.95, side = 2, method = "HE")
K.factor(100, P = 0.95, side = 2, method = "WBE")
K.factor(100, P = 0.95, side = 2, method = "EXACT", m = 50)
``` |

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